{"text":"Question: Does 1580 divide 41348600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 4*j = -m + 94, 0 = 2*m + j - 143. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 8:04 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 6653728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56902 or -0.159?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4208 divided by -1052.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b0069 (base 13) in base 7?\nAnswer: 15065444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6403901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1245257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8.7 - -1.6. Let v = x + 6.02. Let n = 43.42 - v. Round n to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 278 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1143840.\nAnswer: 2, 3, 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q = -41*q + 62. Solve 5*i = 2*k, 16*i - 18*i + q*k = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and -3.13227934364.\nAnswer: -3.23227934364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/30 - (-362)\/12. Suppose 0 = 2*q - 7*q + l. Let s(p) = -p**3 + 8*p**2 - 8*p + 6. List the prime factors of s(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/42)\/(24\/36))\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 1)*(4 - 4 + s**2)*(-1 + 7 + 30).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, -2\/13, -27\/5.\nAnswer: -27\/5, -2\/13, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 11:15 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/1812587 and 103\/7250348.\nAnswer: 7250348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 1. Let w be v(-1). Differentiate -1 - 2*o + w - o wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2578 is divided by 639?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 457263 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -22*h**2 - 12*h - 10. Let o(c) = -2*c**2 - 1. Let a(w) = 10*o(w) - r(w). Suppose a(j) = 0. Calculate j.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**3 + 5*z**3 + 0*z**3 + 3*z**2 + z**3 - 3*z**2 + 0*z**3 + 2*z**3 + 0*z**3 + (z + 1 - 1)*(3*z**2 + z**2 - 3*z**2) - 3*z**3 - 2*z**3 + 3*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*i - 71*i = -43*i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.257 - -2.257. Which is the second smallest value?  (a) -0.5  (b) -2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eezebvevvzvvvzev. What is prob of picking 1 v and 1 b?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from asfdsszs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2705 equal to 2703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4 = -0*f, 0 = -4*i - 2*f - 4. Is 22 - (-2 + 2 - i)*2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 347 in -1.3, 2\/11, -1\/43, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1178639079383 and -41.4?\nAnswer: 1178639079341.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 2*g - 5*i - 12, -2*g + 12 = 6*i. Let y be 1\/((-15)\/9 - -2). Let -3*k**y - g*k + 21\/2*k**2 - 6 = 0. What is k?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-1) - 46\/8. Let g be (-10)\/6 + (-15)\/(-1) + -13. Which is the second smallest value?  (a) -2\/15  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 346739 - 346743. Let i(v) = -v**2 + v + 1. Let u be i(-2). Which is the closest to 2\/3?  (a) s  (b) u  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203469.\nAnswer: 3, 7, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5877861, 23511463, 52900799, 94045869, 146946673, 211603211, 288015483?\nAnswer: 376183489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 5*o - 4, -14*o = -9*o - 5*c - 40 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.9 + 3.8. Let z = q + 3. Let t = 0.6 - 2.6. What is the smallest value in t, 3\/2, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/1 - (-3 - 13). Let y = -112 - -127. Differentiate 8*c + 16 + z - y with respect to c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d + 5. Let u(j) = -j - 1. Give -g(v) - 6*u(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 983227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 16*n + 9*n)*(4 - 4 + 1) - 1 - 2 - 2*n + 1.\nAnswer: 21*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(637)*4*-5)**2*5*2.\nAnswer: 10192000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) -0.5  (b) -5  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -132 - -205. Let r(u) = -u**3 + 14*u**2 - 6*u + 20. Calculate the remainder when r(4) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/2)*x*x\/(x**(-5)\/x)*(x\/x**(-1\/2))**(-4\/11)*(x\/x**(1\/4))**(-3)\/((x*x*x**(-1)*x)\/(x\/(x\/(x\/((x*x**(-1))\/x*x*x)*x)))) assuming x is positive.\nAnswer: x**(207\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of 0 - 3\/4*p**4 + 0*p**2 - p**3 - 18*p. Solve k(o) = 0 for o.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.9 - 4. Let p = f - -1. Let x = 297206.55 - 297207. Is p not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -82*k + 168 - 75\/2*k**2. Differentiate j(o) with respect to o.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {e: 1, i: 2, u: 1, y: 2, o: 1, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-23)\/4 - -2)\/(11165\/(-385000)). Are 130 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 237940.2 microseconds to hours.\nAnswer: 0.0000660945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -370, -1461, -3280, -5827, -9102?\n\"Answer: -364*w**2 + w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 7*i**3 - 5*i**2 + 31*i - 21. Is 15 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 0*x + 4*x)*(-11 - 1 + 0) - 9 + 9 - 10*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-4)*(-952)\/294*-7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -0.4, -15, -3 in ascending order.\nAnswer: -15, -3, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 4:13 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -2 - (2 + 8 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*x**4 - 1 + 11*x**2 - 22*x**2 + 28*x + 2 - 53*x**4 to the form a + f*x**3 + d*x**2 + y*x**4 + v*x and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 2*p - 3*b - 3, 0 = 11*p - 15*p + 4*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1 times -1?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -11*y**2 + 5*y - 5. Let k(o) = -17*o**2 + 8*o - 8. Determine 5*k(b) - 8*v(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 6:56 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 242 + 24892?\nAnswer: 24ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.71 and 1.5122839?\nAnswer: 0.1977161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -96 + 107. Let a(j) = -j**3 + 9*j**2 + 22*j + 5. Let g be a(z). Suppose b + 14 = 5*x, 0 = 4*x - b + g*b + 8. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 13*k**2. Let m(l) = 9*l - 5. Let z(y) = -13*y + 7. Let o(h) = -7*m(h) - 5*z(h). Calculate s(o(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -731 = -5*f + 5*z - 11, -600 = -4*f - 4*z. Let n = -82 + f. Suppose -2*p + 2*g = 5*g - n, 0 = 2*g - 2. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2935\/1672 + 3\/88. What is the common denominator of -101\/4 and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 2. Suppose 6*x = 3*x + u. Let l be (0 + -55)*x\/(-2). Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 974, 794, 494, 74?\n\"Answer: -60*c**2 + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-2) - ((-4554)\/418 - -18) - -1\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95705537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*y**2 + 4*y**2 - 19*y**2 - 7*y**2 in the form v + u*y**2 + w*y and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/(-28) - ((-273369)\/2 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 249*v**2 + 16*v - 121. Let q(d) = 16*d**2 + d - 8. Let x(m) = -2*i(m) + 31*q(m). Let y(o) = o**2 + o + 5. Determine -5*x(l) - 6*y(l).\nAnswer: 4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + (-1302)\/(-264))*(2 - (-649)\/(-264))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -0.5  (c) -33  (d) 0.2  (e) -22  (f) -61\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/(-3) + 1)*-3. Let c(p) = -p - 1. Let x(u) = 5*u + 3. Suppose 18*g = 13*g + 2*b + 28, -15 = -2*g - 3*b. Calculate g*c(v) + s*x(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-10)*(40\/(-1))\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**5\/28 + s**4\/42 - 34*s. Let t(a) = 0. What is a?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-4 + 5 - 3) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -633*w - 4334. Determine q(-10).\nAnswer: 1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1120.03 + 0.5.\nAnswer: -1119.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -292.50906 - 0.52094. Let z = 293 + u. Put -1\/17, z, -4\/5 in decreasing order.\nAnswer: z, -1\/17, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2047 * 24.\nAnswer: -49128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (30783\/18867)\/((-3)\/(-57))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/67 in 0.5, 0.048, 5, 1, -5?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 354831727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400476934 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 167 - 166.17. Let y = -0.24 - w. What is y rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)*y**(-1\/7))**34)**(-1\/58) assuming y is positive.\nAnswer: y**(136\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 315.796.\nAnswer: 63.1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 6:59 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 1.29  (b) 0  (c) -5  (d) -4  (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -3*z + 4*g + 44, -20 = 4*g. Suppose -2*l + 0*l = 4*x + z, -3*x = -4*l + 17. Solve -4*a - 1 = 2*y - 11, -2*y = l*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of t**6\/20 - t**4\/24 - t**3\/2 - 42*t**2. Let a(v) = 2*v**2 - 13*v - 9. What is the remainder when f(2) is divided by a(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -9, -6, 5, 3, 2, -135 in ascending order.\nAnswer: -135, -9, -6, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 25238\/5  (b) 11  (c) -1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 3:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6596117, 13192230, 19788343?\n\"Answer: 6596113*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*6\/9)\/(50\/7425*-22)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - l - 5. Let i be j(-4). Let m be (i\/6 - 2)*24. Is (-104)\/m*(-6)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 6:08 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -2. Let x = 10 - u. Calculate the least common multiple of (-37)\/(-7) - 2\/7 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/7))**(1\/6)*((d**(1\/6)*d)\/d)**(-1\/28) assuming d is positive.\nAnswer: d**(-3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.1947*-662\nAnswer: 128.8914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2809 + 2813. Let j = -335 + 548. What is the third derivative of j*g**4 - 11*g**2 - w*g**2 - 211*g**4 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*r + 2678635 - 1005372 = 16*r. List the prime factors of r.\nAnswer: 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1.1  (b) -0.05  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (6 + -10)) + (14 + -2 - 4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.33 - 7.33. Let y = -6.999954 - w. What is y rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*h**3*j**2 - 20*h**3*j - 35120*j**2 wrt h?\nAnswer: -12*h**2*j**2 - 60*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8363 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -931*x + 27938 + 26271 = 7659 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1  (b) -2\/7  (c) -1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5228593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-54)\/(-12) - (-2)\/(-4). Let y be p\/10 - (-296)\/10. List the prime factors of 4\/y + 965\/75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65690 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 44 = c. Let a(v) be the third derivative of -v**6\/120 + v**5\/6 + 5*v**4\/12 + 5*v**3\/6 + v**2 - 93*v. Give a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 31378513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/8 - -1\/6. Let h(d) be the third derivative of -3*d**2 + 0*d**4 + 0*d + j*d**6 + 0 + 0*d**3 - 1\/12*d**5. Find the third derivative of h(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2098 = -j, 3*v - 959 - 1119 = -4*j. What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 91 - 766 = -4*z, -2*z + 5*p + 315 = 0. Suppose 3*j - k = 170, -2*j + 3*k = -z + 66. What is the remainder when j is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2309 divided by -1\nAnswer: -2309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllplppaallllapllll. Give prob of sequence aala.\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**3\/9 - 26*v\/9 + 8\/3 = 0. What is v?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 - 73. Let n = -31 - i. Suppose 0 = -v - n*v + 4*t + 224, 60 = v + t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1859, -3817, -5775, -7733, -9691, -11649?\n\"Answer: -1958*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 93512*b.\nAnswer: -93512*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 2*j - 52, 31 = -5*j + 6. Suppose 2*s = -2 + r. Solve -3*o + s = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqgqkqdbbbbr. What is prob of picking 1 d, 1 b, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*k = -0*d - 40, 3*d + 27 = -5*k. Let y = d + 21. Suppose -y*i = -i - 18. Solve -f + i - 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -60953\/5 - -12141. Let q = r + 50. What is the nearest to q in 2\/3, -2, 3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 20*l + 2. Let j(r) = 10*r + 1. Let z(t) = 7*j(t) - 3*s(t). What is the smallest common multiple of z(1) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 20*k**2 + 13*k - 7. What is the units digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 4.4. Let j = h - 0.47. Let v = -0.07026 - j. Round v to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 188 and 470.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31827 + 36527. What is the third biggest value in 2, u, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 25 = -0. Let c(d) = 1 - 2 + 6*d**2 - 2*d + 2*d**2. Calculate the remainder when c(-1) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 6*u**2 + u - 6. Let i be d(6). Calculate the least common multiple of 16 and -2 - (-2 + i - (1 + 1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -758 + 3*z + 763 - 14*z. Let j be l(-3). Suppose -5*y + 9 = 3*c, 2*y + j = 5*c - c. Solve -2*m + 2 = c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 301289\/13852 + -2\/3463. Suppose -9*v = 50 - 5. Find the common denominator of 6 - ((-539)\/14 - (v - 1)) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -f**4\/24 - 2*f**3\/3 + f**2. Let j be m(-8). Find the third derivative of -2*h**2 - 2*h**2 - 4*h**j + 2*h**2 wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -411, -1673, -3783, -6747, -10571, -15261, -20823?\nAnswer: -27263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 4*i**2 + 1. Find the common denominator of y(2) and (15 + (-14 - -10))*2\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/18 and -1.62 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 13 + (4 - 4 - 4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 800756.4 litres?\nAnswer: 800756400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 278 + -282. Let t be (z + (-32 - -6))\/(-1). Calculate the highest common factor of 80 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -285650*u + 285915*u + 3026 + 1479 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -1. Let h = 36\/25 + -98\/75. Which is the third smallest value?  (a) n  (b) 5\/4  (c) h  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i + 6. Let c be w(3). Let x be c\/(-2) + (-22)\/(-22). Suppose 0 = -x*d - 13 + 77. Solve d = -4*q - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -6*y - 14. Suppose 5*s + 0*s = 25. Let j = -16 + s. Does 13 divide t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**4\/o*o)**(-30)*(o\/o**19*o*o)\/o**33)**(6\/13) assuming o is positive.\nAnswer: o**(-1194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-6))\/(c*(c\/c**(-31))\/c) assuming c is positive.\nAnswer: c**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q + 2. Is a(6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = -4*z + 3*s + 657, 0 = -3*z + 2*s + 514. Suppose 0 = -2*a - 4*a + z. Is a a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -937812835.020298015 - -937812842. Let k = -0.020298615 - q. Let c = k + 7. What is c rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 443449686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 - 4*z + 4*z + (3*z**2 - 4*z**2 + 0*z**2)*(2 + 0 - 3) + (-161*z - 12996 + 12996)*(2*z + 2*z - 3*z).\nAnswer: -163*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -113927, -0.1, -4 in ascending order.\nAnswer: -113927, -4, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((5 + 1*sqrt(5))*-6 + sqrt(35)\/(2*sqrt(175))).\nAnswer: 177*sqrt(5)\/10 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10885667 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: What is the next term in -58, -60, -60, -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -x. Suppose x = -3*v + v - 18. Let u = 58 + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/45 + (-176)\/288)*0\/(-1). What is the fourth smallest value in j, 2\/19, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*c = c + 2961 - 1287 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 13*n - 53. Let j be (-15 + 12)\/((-189)\/(-28) - 6). What is v(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2961)\/105)\/((-246)\/(-410)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, o: 8, q: 4, v: 1}. Give prob of sequence no.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*k + 1 + 34*k + 2*k**2 - 146*k + (0 + 1 - 2)*(-1 + 1 - 2*k**2).\nAnswer: 4*k**2 - 91*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 7.1, 45, -0.04, -4, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/2)\/(195\/78)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i + 17531 - 8*i**2 - 17531. Let h(m) = 13*m**2. Determine h(c(f)).\nAnswer: 832*f**4 - 416*f**3 + 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*a, 3*x + 5*a - 7 = 3*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -727*y**4 + 2*y + 711?\nAnswer: -8724*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 13977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -52 + 56. Let f be (0 + 1 + -4)*-1. Put 5, i, f, 2 in increasing order.\nAnswer: 2, f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**5\/7 - 48*t**4\/7 - 2556*t**3\/7 + 5248*t**2\/7 - 378*t = 0.\nAnswer: -27, 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -36\/11 - -587\/176. Let k(r) be the second derivative of 1\/60*r**6 - 1\/24*r**3 + 0*r**2 + 0 + 1\/12*r**4 - 2*r - o*r**5. Suppose k(j) = 0. What is j?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (21\/(-6) + (-148)\/(-8))*73?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14311684.2 rounded to the nearest ten thousand?\nAnswer: 14310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3*i**5\/11 - i**4\/11 - 12*i**3\/11 + 4*i**2\/11 = 0.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/((w*w**(2\/5))\/w))*w)**(3\/8)*(w**0)**27 assuming w is positive.\nAnswer: w**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/5 - 8606*y\/5 + 20712.\nAnswer: -2*(y - 12)*(y + 4315)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 299*t + 38417 = 20*t + 4395 + 542 for t.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 24, 27*w - 28*w = 5*c - 609. What is the remainder when 308 is divided by c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**3 - 9*u**2 - 7. Let x = -1032 - -1035. Let y = -7 + 2. Let g(q) = -4 + 4*q**3 + 0*q**3 - 5*q**2 - 3*q**3. What is x*i(s) + y*g(s)?\nAnswer: s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 372024 and 69756?\nAnswer: 2162575512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-7) - 210\/3675\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-7))\/(1\/((-42)\/72)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 5 - 15. Let g be 2028\/494 + (-2)\/19. Suppose -6*x + 8 = -h*x - 2*p, -g*x + 16 = 5*p. Solve 0 = -u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x**2 - 719*x + 4. Let n(i) = -5*i**2 - 728*i + 3. Let l(g) = -4*n(g) + 3*v(g). Factor l(j).\nAnswer: 5*j*(j + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37 - -41. Solve d*y - 31 = -5*n, -3*n - 3*y + 8*y = 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1028160 or 1028147?\nAnswer: 1028160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 - 3*u**4 - 4*u**4 + (-2*u + 2*u + 2*u**3)*(-3*u - 4*u + 6*u) - u**4 - 5*u + 5*u - 130*u**2 + 128*u**2 + 0 - 3 + 4*u**4.\nAnswer: -7*u**4 - 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 148373. Let i(f) = f. Determine i(t(j)).\nAnswer: j - 148373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**2\/3 + 176*q + 9310\/3 = 0 for q.\nAnswer: -245, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -756953 and 0.2.\nAnswer: -151390.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*h + 17*h + 22. Let i(o) = o**2 - 10*o - 11. Let f be i(h). Suppose -5*b + 4*b + 22 = f. Calculate the smallest common multiple of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*f + 842*f**3 - 165*f**3 - 2*f + 25*f.\nAnswer: 677*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*a - 2 = 0, -4 - 5 = -3*a. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 846, 795, 746, 699, 654, 611?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, -1\/2, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11546 (base 10) in base 16?\nAnswer: 2d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 2*k - 9, -17 = -5*k - 4*b + 14. Suppose 0 = -2*x + k + 3. Suppose x*j = 78 - 3. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, 3, -4, -0.12 in descending order.\nAnswer: 3, -0.12, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f**3 + 5*f**2 + f + 10. Let k(a) = -a**3 + a**2 + 1. Suppose 127*o + 9 = 5*u + 131*o, 0 = -4*u - 4*o + 4. Determine u*k(i) - m(i).\nAnswer: -i**3 - i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (23 + 0 - 2) + -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -33\/2096?\nAnswer: -33\/2096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000514 rounded to seven dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 <= -6\/665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -28 - 3*i + 12*i + 30 as j*i + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2636, -2637, -2638, -2639, -2640?\n\"Answer: -a - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l. Let k be (2\/(-4))\/(2\/(-16)). Let x(g) = -5*g + 5*g - 10*g - k*g. Give i(x(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 43*-0.01\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*i - 3. Suppose i*q + 2*q - 100 = 0. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 440, -344, 19, -5, 0 in increasing order.\nAnswer: -344, -5, 0, 19, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 5*w + 3. Let u be g(5). Suppose 0 = u*f - 3 - 3. Calculate the smallest common multiple of f and 8 + (1 - (-6)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 1) + -4 + 2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 8, -3*p + 2*p = 4*r - 16. Suppose 4*u - 15 - r = 0. Let n(x) = -3*x. Let j be n(-1). Sort u, -3, j in descending order.\nAnswer: u, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + ((-4)\/(0 - 4) - 1) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3187*l**2 - 7*l**3 - 3187*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a factor of 294770400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5089 + -5082. Solve -d - d - 4*k + 14 = 0, 5*k = d + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32330531 (base 6) in base 4?\nAnswer: 3222200113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 43996\/(-111) - 15\/9. Let m = -398 - y. Are m and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 AM and 2:48 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 478\/6 - (-1)\/3. Suppose -4*g + 75 = -5*b, 0*g - b + y = 3*g. Let h = 5 - 0. Solve 3*f - g = -5*q, 4*q - 3*q = h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(272)*-2 + sqrt(833) + 3 - (3 + (-1 + sqrt(153))**2 + 0).\nAnswer: -154 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2128)\/(-2717) - (-20 + 20 - (-3)\/33)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(6\/4)*-6. Let l = -1 - 0. Let c = l + f. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*u = -4*s + 103, 0 = -5*s - 2*u - 1 + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2784, -10832, -24242, -43014, -67148?\nAnswer: -96644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -69 + 84. Calculate the remainder when 56 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + d - 4*h = 0, 2*d = 2*h + 8. Is 13 a factor of ((-75)\/d)\/(18\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/30 and -79\/72657366.\nAnswer: 363286830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + u**2 - u + 1. Let d(v) = -2*v**3 + 7*v**2 - 2*v + 6. Let x(h) = d(h) - 4*n(h). Let z be x(3). Suppose -3*q = -2*q - z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 12*c**2 - 5*c + 36. Suppose 6*z = 29*z - 184. What is the units digit of h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m - 3*m - m + 4*m**3 + (-4*m**2 - 15*m**2 + 3*m**2)*(-4*m + 1 - 1).\nAnswer: 68*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000630316745 rounded to six dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 860164137 a multiple of 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**4\/2 + 309369*u**3 - 31930272243*u**2\/2 + 1403135674644*u - 30855813819864 = 0. Calculate u.\nAnswer: 44, 103079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 56284243 to the power of 1\/2, to the nearest integer?\nAnswer: 7502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**2 + 9819852*u = 0. What is u?\nAnswer: -2454963, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*a = 632, -2*a + 662 = c - 5*a. List the prime factors of c.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680445344 to the power of 1\/2, to the nearest integer?\nAnswer: 26085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31.3 + 31. What is the smallest value in p, 1\/10, 1\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138 = c - 5*w - 275 + 78 + 137, 9*c + 3*w - 18 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.4 + 1.47. Let s = -4.93 - z. Which is the closest to 2\/7?  (a) -2  (b) 3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 37550 + 6536?\nAnswer: 46306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/143 greater than -2579137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000695 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2887454 is divided by 360928.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 5.26. Let g = 1.94 + r. Let p = -0.7 - -1.2. Sort -0.3, p, 2, g in decreasing order.\nAnswer: 2, p, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, u: 1, h: 3}. What is prob of picking 1 x and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2207 - -889. Let a = -625 - r. Suppose 0 = -3*p + f - a - 2341, -p + 2*f - 1018 = 0. Round p to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + 4 - (9 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 403159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1224)\/(-63))\/(-17)*-14*(-4)\/(-16). Sort y, 1\/4, 1.7, 2.2, -4\/3 in descending order.\nAnswer: y, 2.2, 1.7, 1\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35556*o - 24746*o - 22584*o to the form b + z*o and give z.\nAnswer: -11774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 39, -0.5, -0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -617929533 divided by 22886279\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 22, 5, -79.\nAnswer: -79, -4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/72003435 and 71\/27.\nAnswer: 648030915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 696, 693, 690, 687, 684, 681?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10543, -21031, -31411, -41629, -51631?\nAnswer: -61363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5238 - 5568 = -5*w. Does 26 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*l - 160*l + 1133 = 5958 + 3667 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -329 * -5.2\nAnswer: 1710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - o**2 - 3*o - 2. Determine r(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -415 (base 11) in base 14?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/58  (b) -121  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 0.11, -3\/7, 2\/13 in descending order.\nAnswer: 2, 2\/13, 0.11, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 144 + -96. Suppose -154 = -2*y + z. Suppose -y = -5*g + 94. What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (9 - (-10 + (-7 - -14)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s + 420 = -8*s. Does 62 divide (3 - (1 - 239))*s\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39017.99999950886 + 39018. Round f to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -5*s**4 - 709200*s**3 - 25059425750*s**2 + 6298139250000*s - 394327501953125 = 0.\nAnswer: -71045, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 11*w - 4. Let m(s) = 23*s - 9. What is -14*d(v) + 6*m(v)?\nAnswer: -16*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 454733 less than or equal to 454995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8162320.5 rounded to the nearest one thousand?\nAnswer: 8162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -286, -4, 6, -10481 in ascending order.\nAnswer: -10481, -286, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*x**6 + 3*x**6 + 10*x**2 + 11*x**6 wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/626 and -40\/939.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - -3*(-16)\/(-12). Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(68) - (sqrt(68)*2*-4)**2).\nAnswer: -13056 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 0. Let f = -51 + 46. Which is the biggest value?  (a) -8  (b) f  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1000 + 102221111?\nAnswer: 102220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 225 - -4012?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 7:42 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-10)\/(-5) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 6*a + 7. Let r(d) = -6*d - 6. Calculate -6*r(q) - 5*w(q).\nAnswer: 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 196056*h**2 + 3*h + 434259*h**2.\nAnswer: 630315*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 195.456996 seconds in days?\nAnswer: 0.00226223375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, 2\/2097, 1, -1, 5 in decreasing order.\nAnswer: 5, 1, 2\/2097, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/15)\/(2\/(-144)*-3). Let j(w) = w**2 - 8*w - 5. Determine j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7005*o + 1714 with respect to o.\nAnswer: -7005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1073094 + 1325244 = 18*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i + 7. Let c(w) = w + 6. Suppose n + 5 = -4*o + 20, 0 = -3*n + 3*o. Suppose 8*u = -40 + 8. Give n*v(s) + u*c(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 116 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 78778517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 1 = -5*d, 3*d - 2*f = 284 - 277 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2\/65, 93718, 2 in decreasing order.\nAnswer: 93718, 2, 0.1, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 37*t**2 + 328*t - 22. Let z be a(-15). Solve 2*w = 3*u + z, -3*w + u - 14 = 3*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -51 + 105. Suppose -4*k + a - 6 = 0. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 4:09 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1899 - 1097. What is the remainder when p is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297 = 197*x - 143*x - 1269 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y**3 + 30*y**3 + 3*y**2 - 3565134 + 44*y**3 - 3*y**2 + 3565133.\nAnswer: 63*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2 + 2*a - 1. Determine n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -167 - -162. What is the second biggest value in -0.2, -0.8, z, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3441 - -33.\nAnswer: 3474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dlgplyynlndlyg. Give prob of sequence glpn.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8026, 16252, 24478, 32704, 40930?\nAnswer: 49156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124116 is divided by 580.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 10*j**2 - 2*j + 11. Let y(c) = c**2 + c. Let h(p) = -b(p) - 2*y(p). What is the first derivative of h(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-207)\/(-27) + 1 + 5\/(-3). Suppose 6*d + 2 = t*d. Let g = -6 - -12. Sort g, d, 4 in increasing order.\nAnswer: d, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 4*q + 2*f - 924, 244 = q + 4*f. Suppose 5*w - q = 77. What is the remainder when w is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5378204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 10:03 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -1 - 83. Let s(v) = -41*v - 1. Let o(n) = n**2 - 6*n - 9. Let b be o(7). Calculate the remainder when s(b) is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + b - 15. Let o be q(3). Let k = 3 - 1. Let v = 5 - k. What is the nearest to 0.1 in o, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 48*g. Let x(t) = -t**2 + 48*t + 46. Let i be x(48). Calculate the remainder when b(i) is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 2)*(-14*f + 39*f - 7 - 24*f) in the form c + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -64952, -129909, -194866, -259823?\n\"Answer: -64957*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -2, 41 in ascending order.\nAnswer: -4, -2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1755 and 7137.\nAnswer: 107055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 16 = -0*z + 2*z, -2*r = 3*z - 21. Suppose 3*m - 40 = z*s, m - 10 = 5*s + 20. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26532 divided by 2948\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 19, -0.195, 2\/3, -0.04, 0.1?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278472.\nAnswer: 2, 3, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 150 - 51. Let n = -76 + v. Calculate the remainder when 61 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -10*r + 8, -k - r = -4. Let j(v) = -12*v**k - 8 + 17*v**2 + 10*v - 4*v**2. What is j(-6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 0*x**2 - 8 + 10*x + 5\/3*x**3. Differentiate l(n) with respect to n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 240, 248, 256, 264, 272?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o - 23. Let i be y(8). Suppose 5*z + 44 = 2*q, -4*z = 1 + 7. Let c = q + i. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/3.\nAnswer: 2*j**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-3)*(-1)\/3*14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -48195\nAnswer: -4\/48195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 141713*z - 26. Let h(i) = 15746*i - 3. Determine 26*h(y) - 3*t(y).\nAnswer: -15743*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 330364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9865 bigger than 9865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 245703 and 5631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + sqrt(1100)*4 + 3 + (-1 + (sqrt(1100) - -2*sqrt(1100)) - (sqrt(1100) + 3 + sqrt(1100) + sqrt(1100) + sqrt(1100))*2))**2.\nAnswer: 160*sqrt(11) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 7*a - 3*a. Suppose -f = -2*f - a. Let x be 18\/f*(6\/9 + -2). Solve -x - 2 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.0059 + -0.0059. Which is the fourth biggest value?  (a) 0.5  (b) 1  (c) v  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, d: 10}. Give prob of sequence ydd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) -2\/7  (c) 3\/5  (d) -0.1  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3861.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tmammtgmtgttmgttmma. Give prob of sequence gatm.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 4*d**2 + 3*d + 3. Let c be y(3). Suppose -5*f + 13 = 3*s - f, c*f = 4*s - 59. 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: List the prime factors of 18212.\nAnswer: 2, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h = 416. Let a = 190 + h. Let v = a + -31. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 13*h - 19. Let v be k(-11). Let p(n) = 11*n**3 + n**2 + 4*n + 5. Let m(o) = -5*o**3 - 2*o - 2. Let s(j) = -9*m(j) - 4*p(j). Determine s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*c - 4, 3*n - c - 8 = 0. Suppose 0*w - 5*h = 3*w + 3, n*h + 12 = 0. Solve -2*m = 5*a - 16, 3*m - w*a + 20 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9859.22496 - -0.22496. Let s = 9859.9494 + l. What is s rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 258 = -3*v, 4 = 3*v + 10. Is 202209\/36 - (-7)\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 4 + 82*l - 28*l - 26*l - 25*l. Is z(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4563 + -13690\/3. Which is the nearest to -18?  (a) -0.4  (b) s  (c) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -6*b + 15. What is the greatest common factor of b and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-7) + (4 - (-1280)\/35). Solve -5*z + 20 = 0, 3*k + 5*z = p - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3268 + 3*n**2 - 9*n**2 + 80*n + 11*n**2 + 76*n with respect to n.\nAnswer: 10*n + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1513954l?\nAnswer: 151.3954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59173, -235340, -528959, -940036, -1468577, -2114588, -2878075, -3759044?\n\"Answer: -w**3 - 58720*w**2 - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 319895*4\nAnswer: 1279580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 36 = -32 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188226 is divided by 283.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 - (-18 + (31 - 1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 17*15.7118\nAnswer: 267.1006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3850*n**3 + 3*n - 20428.\nAnswer: -11550*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 8. Is 118\/h + 8\/24 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - q + 6. Let s be p(0). Let u = 17 + -27. Let h be (0 + -1)\/(2\/u). Solve -2*v = -h*v + s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149 = -4*q + 3*h, -116 = -3*q + h - 3*h. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vxxvxsxsxuusuuis. Give prob of sequence ssxu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u - 20*u = -36 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (25\/(-3))\/(1\/(-15)). Let u(o) = 4*o**2 + o - 1. Let w be u(-1). Suppose w = x - 48. What is the highest common divisor of l and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ilil when four letters picked without replacement from eeiiliiiiellhhiii?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v - 2. Let u be f(-4). Let h(j) = j**2 - 6*j - 2. Let q be h(u). Sort 2, -5, q in descending order.\nAnswer: 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/3 + 128*h**3\/3 - 725*h**2\/3 - 854*h\/3.\nAnswer: -h*(h - 122)*(h - 7)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 86 or -32178?\nAnswer: -32178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b - 1. Let s be 3497\/(-65) - (-2)\/(-10). Let w be (-72)\/s + 1\/(-3). Let a(g) = g + 1. Give w*u(r) - a(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110 (base 3) to base 2.\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m**2 + 41*m - 102. Let g be j(3). Solve 21*n - g = 9*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3144?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8100 and 5850?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.2 - -8.5. Let g = 2.9 - l. Let h = -8\/15 - 2\/15. Which is the second biggest value?  (a) 2  (b) g  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 87, 0, 5, 139, 2 in decreasing order.\nAnswer: 139, 87, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*b - 5*u = -33*b - 4647, -2*b + 3*u + 2329 = 0. Calculate the remainder when b is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/71 + 137\/355. Let s = -0.6 + 1. Let t = 4.6 + s. What is the nearest to g in t, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -329, -277, -225, -173, -121?\n\"Answer: 52*l - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -133183172 divided by -6.\nAnswer: 66591586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -t**4\/4 - 19*t**3\/6 + 6*t**2 - 94*t. Let h be s(-7). Sort -4, h, 9 in decreasing order.\nAnswer: 9, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = 94*r + 42 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2)*(116\/(-51))\/(-29).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 221 and 11306789.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(77)\/sqrt(112) - (-1 + -2*sqrt(539))**2.\nAnswer: -2157 - 109*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2170*f + 111. Does 54 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -562071*j + 45242 wrt j?\nAnswer: -562071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -42 + 47. Suppose -y + 17 = 4*x - 22, y = t*x - 42. Is x at least 100\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 9:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k**2 + 2*k - 1. Let g be y(-2). Suppose -38 = -4*x + 90. Let o = x + g. 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: Let t = -2 - -2.3. Let q = 0.2 - t. Let r = 494.9 + -495. Which is the closest to r?  (a) 5  (b) 0  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*r - 1 = 0, 0*r - 2*r = -2*n + 28. Solve -t - 4*t + 4*l = n, -3*l = -5*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 11:24 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 78300 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 172*c. Let m(a) = a - 14. Let f be m(8). Let j = 7 + f. Let u be b(j). What is u rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5863 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*y - 78, 0 = -3*y - b + 3*b + 58. Let l(s) = -s**3 + 23*s**2 + 2*s + 17. Let z be l(y). Let i = z + -328. What are the prime factors of i?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 3. Suppose d + x*d = -3. Let o be (-30)\/3*(d + -1). Solve y + o = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -16*t + 6. Let n be w(-8). Suppose 5*o - n = 326. Suppose 5*x + 2*d - 6*d - 286 = 0, -2*x + o = 4*d. Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/2*(-645)\/(-810) and -49\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a - 3. Let d be q(8). Let m = d + 16. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(119)*4)\/(-5*sqrt(28)\/sqrt(4)*-1)*6.\nAnswer: 48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -411*s**2 - 11*s. Let g(i) = 205*i**2 + 6*i. Let h(b) = -11*g(b) - 6*r(b). Let o(f) = 2*f. Give h(o(n)).\nAnswer: 844*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 25.60191 milliseconds?\nAnswer: 0.0004266985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 3*n - 2. Let a be q(2). Which is smaller: -1\/2 or a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (2 - -1 - -4)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -30713, -122826, -276355, -491306, -767685, -1105498?\n\"Answer: -h**3 - 30702*h**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**8\/t*t**(2\/11)\/t assuming t is positive.\nAnswer: t**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*p - 36*p = -1074. Calculate the remainder when p is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 131*r - 10. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 28*r**3 - 2*r**2 - 2*r + 4. Let y be w(1). What is the greatest common divisor of 294 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 2*t - 2. Suppose 1 = 5*c - 9. Let u be -5 + c + 1 - -8. Suppose -i = i + u, d - i = 1. Give p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 36.111.\nAnswer: 36.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-382)\/10 + 5\/25. Put 2, q, -1 in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 h when four letters picked without replacement from {h: 2, e: 8, i: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -143*d**3 + 12*d**5 + 142*d**3 + 14*d**5 + (-4*d**2 + 3*d**2 - d**2)*(0*d**3 + 2*d**3 - 4*d**3).\nAnswer: 30*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -305 - 61.5\nAnswer: -366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(5\/2)*w)\/w*w)\/w*w**6)\/((w*w*w\/(w**(-5)*w)*w*w)\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*m**3 + 269*m**3 + 93*m**3 - 392*m**3 - 74*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 3*b - 6, -2*z + 2*b + 3*b + 10 = 0. Let v be 17\/8*1*4. Let k = -8 + v. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 2. Let r(x) = -4*x**3 - x**2 - x. What are the prime factors of r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v**3 + v**2 - 2582*v - 14441. Give g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 10 - 7 + (-1 - 1 + 0)*(-4 + 7 - 2) + 0 + 3 + 2)*(t**2 + 2*t - 2*t) as l*t + b*t**2 + h and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (-5 + -3)\/2. Let j(m) = m**2 - m - 2. Let n be j(-2). Let k = n - a. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, n: 3, p: 5, u: 2, b: 5, e: 1}. Give prob of sequence en.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 455 = -4*z - 2329, 2*z = 5*w + 3452. Let u = w + 1473. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-70448)\/(-10) - (104\/(-20) - -5). Suppose 20*i + 49355 = -l. Round i to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b64 - 4?\nAnswer: -b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -92  (b) 2\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -c + 11, 8*d - 3*c = -718 + 670 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 402*f**3 + 459*f**3 - 2*f + 2*f - 825*f**3.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1199*i**2 + 5428*i**2 + 2667*i**2 + 365*i**2 to t*i**2 + j + a*i and give t.\nAnswer: 7261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -20111526.7 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-124)\/(-16) + (-13940)\/1870 + (-6)\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 392 = -6*t. Suppose f = 4*f + 132. Let c = f + t. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 0) + (-4 - -11 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 669520 and 1464575.\nAnswer: 23433200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*l - 39*l - 52*l - 97*l**2.\nAnswer: -97*l**2 - 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2*o - 16, 2*c - 2*o + 22 = 0. Which is smaller: c or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-34)*-10)\/((-145)\/(-58)*-3)?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 9:52 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 2121?\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11423898 is divided by 1038536.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**3\/4 - 9*q**2\/8 - 3*q\/2 + 10. Factor p(o).\nAnswer: -3*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 264 (base 8) to base 5\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-4))\/(42*(-21)\/(-2940))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1654)\/(-14) - 8\/56. Suppose -5*b + 10*b = -4*y - m, y + 38 = 3*b. Let n = y + 65. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 88 = 47. Let o be -2 - -2*(-6 + 7). Suppose 3*b - 4*i = 40, 4*b + i = -o*b + 66. What is the remainder when d is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of 0*o + 0*o**4 + 0 + 1\/12*o**5 + 0*o**3 - 31*o**2 + 1\/24*o**6. Factor x(a).\nAnswer: 5*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -221, -222, -233, -260, -309, -386, -497, -648?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.4, 0.06, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**5\/10 - 13*u**4\/12 - 37*u**3\/6 - 13*u**2\/2 + 5139*u. Let a(d) = d**3 + 6*d**2 + 18*d + 6. Give -13*a(n) - 6*p(n).\nAnswer: -n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.925356 - 0.9105. Round u to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**3 + 0*f**3 + 2*f**3)*(-5*f - f + f).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 384.91227ns?\nAnswer: 0.000000000004455003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + 16*z**2 + z - 12. Let w be t(16). Solve w*x + 12 = k + 4*k, 4*x - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19093 times -0.19?\nAnswer: -3627.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3871455 is divided by 430160.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**2*l**3*u**2 - 62*d**2*l**3*u + 2*d*l**3*u + d*l + 204*l**3*u**2 - 3*l**3*u wrt u.\nAnswer: -4*d**2*l**3 + 408*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, h: 4, n: 2, i: 3, j: 4, u: 3}. What is prob of picking 1 n and 1 j?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -3*u**2 + 1. Let n(i) be the first derivative of -i**3 - 5. Give n(o(c)).\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 413.6 times 20\nAnswer: 8272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46034 is divided by 98?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -10424?\nAnswer: 10423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 3*t**2 + 2. Let j be o(-3). Suppose 0 = -5*r + j*a + 720 - 4026, 4*r + 2652 = -2*a. Let v = -369 - r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 + 6.9. Let j = q - 12. Let b = -508\/7 + 2039\/28. What is the biggest value in b, j, -0.03?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33419 is divided by 16690?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 10488.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 2. Let q(h) = 8 + 3 - 4 - 6. Determine j(w) - q(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19010?\nAnswer: 2, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-10) + (3 - -1). Let y(h) = 2*h**2 + 2*h - 8. Let p be y(m). What is the common denominator of 311\/p + -2 + -1 and -35\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6032 + -75755?\nAnswer: -67723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7021)\/(-637) + (-11)\/(-66)*-66?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*w + 2*w**3 + 421 - 70*w - 421.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (56\/35)\/(4\/10). Suppose 4*n - 5*n + z*i = -40, -124 = -4*n + 4*i. Suppose -m - m = -84. What is the greatest common factor of n and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2*z + 14 = 0, 0 = -4*a - 3*z + 3 + 11. Solve 0 = n + a*c + 27, -9 = -5*n - 2*c - 29 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (18 - 11) + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 6*b**2 + 3. What is h(3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 6 - 1)*(-3*h**3 + h**4 - 2 + 3*h**4 - 14*h + 15*h).\nAnswer: -28*h**4 + 21*h**3 - 7*h + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4 = 0, -2*f - w = -2 - 5. Solve 0*y**2 + 2\/11*y**f + 4\/11 - 6\/11*y = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 11*v - 6. Let m(h) = -856*h + 65 + 1698*h - 962*h. What is -6*m(g) - 65*z(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.73 + -1.09. Let u = c + 0.343. Let x = 0.012 - u. Round x to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/6366 and 145\/24?\nAnswer: 25464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-15)*(87\/(-174) - (-2)\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13588, 13173, 12480, 11509, 10260, 8733?\nAnswer: 6928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 315812894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - b + 8. Find the third derivative of 3*k**6 - b*k**3 - 4*k**2 + 4*k**3 wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.5939507 - -0.5936. Round f to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/6*1\/4. Which is the second biggest value?  (a) -3\/5  (b) y  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92979*z**2 + 137 - 93344*z**2 - 137.\nAnswer: -365*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -81, -86, -95, -108?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 4. Suppose 6*i - 4*i - 8 = 0. Let j be m(i). Let v(n) = n**2 + 7*n + 10. Let h be v(-6). Which is the nearest to j?  (a) h  (b) 2  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 525.3371 microseconds to milliseconds.\nAnswer: 0.5253371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 297 - 297.5. Let m(f) = f**3 + 10*f**2 - 10*f + 11. Let t be m(-11). Let k(q) = q**3 + q**2 + 3. Let u be k(t). Sort 2\/17, -3\/2, u, i.\nAnswer: -3\/2, i, 2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -106*z + 110*z - 3864. Calculate the lowest common multiple of 14 and (1\/(-3))\/((-23)\/z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 5*i**2 - 7*i**2. Let m(b) be the third derivative of -17*b**4\/24 + 85*b**2. What is f(m(j))?\nAnswer: -867*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8450736 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from esiimlpm. What is prob of sequence slmm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 340022 at least 340025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -39 - 61. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328340717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 566235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 506*v + 38484. Give i(-76).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 4) + -10 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -31*n. Let j(o) = -2*o**2 + 12*o. Let p = -15 - -14. Let b(s) = s. Let r(w) = p*j(w) + 12*b(w). Calculate m(r(x)).\nAnswer: -62*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - 1411*v + 473249. Determine j(549).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-7460)\/(-360) - 20)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -218*y - 65. Suppose -3*f = -7*f + t - 62, 2*t = -5*f - 84. Let c(d) = 658*d + 194. Let a(o) = f*x(o) - 5*c(o). What is the derivative of a(g) wrt g?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 9:00 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*l = -3*h + 416 - 399, -2*l - 4*h = -10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -421801*776\nAnswer: -327317576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t + 18. Let n(c) = 4*c - 21. Let r(p) = -p**3 + 21*p**2 + 3*p - 68. Let x be r(21). Let f(l) = x*n(l) - 6*z(l). What is f(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123435471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 14*o + 18. Let x(n) = -77*n - 98. Give 28*s(r) + 5*x(r).\nAnswer: 7*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1036100793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 449682142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**5 - 191064*i**4 + 3249135*i**3 + 11466900*i**2 = 0.\nAnswer: -63705, -3, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2446.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(80)*1 + sqrt(80)*-1 + 4 + -1*sqrt(80) + -1 + -4)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.377 + 25.623. What is the third smallest value in 4, 0.5, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -17*q + 167. Let p be x(10). Let t(s) = -5*s**2 + 9*s + 7. Let f(c) = -2*c**2 + 5*c + 4. Let l(m) = p*t(m) + 7*f(m). Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-22)*(-2)\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*f = 79*f - 135. Suppose -2*j = -5*j + f. Let k = -13 + j. Solve 0 = -3*u - k - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11854*c**5 + c**4 - 285790*c?\nAnswer: 237080*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 3845192 to the nearest ten thousand.\nAnswer: 3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 823, 2549, 5433, 9481, 14699, 21093, 28669, 37433?\nAnswer: 47391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -1 + -3))*2 + 5 + 4*(-1 + (sqrt(275) - ((sqrt(275)*-2 - sqrt(275)) + -2))))**2.\nAnswer: 2720*sqrt(11) + 70689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 6*k**2 - k - 7. Let a be r(-6). Suppose -95 = 3*t - 23. Is 13 a factor of (40 + a)*(-16)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 571 - -4?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13806 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 - 76. Let c = 17 + p. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -15. Suppose 0*p = p + m, 2*w - 19 = 5*p. Suppose 3*o - 180 = -w*o. 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: Collect the terms in -3*s**2 + 7*s**2 + 21*s**2.\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/(m\/m**(-1)))\/(m\/m**(1\/25)))**(-3\/16) assuming m is positive.\nAnswer: m**(9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1*sqrt(14)*5)\/sqrt(128).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27 in 9, 637, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/24 + (47\/(-15) - -3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -896840 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*f + 24*f**2 + 2 - 2 + 42*f wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1750909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -15*x - 169 + 16*x + 169. Let p(g) be the first derivative of 0*g + 7\/2*g**2 + 2. Give d(p(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 8:37 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/600 and 103\/3790920.\nAnswer: 18954600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 85, 92, 111, 148, 209, 300, 427?\n\"Answer: n**3 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/18)\/((-10)\/(-180)). Solve 3*i + 4 = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w**2 - 2*w**2 + 2*w**2)*(-1 + 1 + 2)*(16*w**2 - 5*w**2 + 5*w**2) to v*w**2 + g + o*w + a*w**3 + m*w**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 29, 9, 11, -6 in descending order.\nAnswer: 29, 11, 9, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*v**2 + 6 + 14*v - 24*v + 115*v**4 - 116*v**4 in the form z*v**4 + c*v**3 + x*v + d + n*v**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -5*m**5 + m**4 - 35*m**3 - 12*m**2. Let h(q) = q**5 + 6*q**3 + 2*q**2. Let r(j) = 34*h(j) + 6*l(j). Determine d so that r(d) = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 250\/65 + 4\/(-2 - (-6 - -5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/869 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17180 is divided by 1003.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-3)*(-1)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -8*x**3 - 6*x**2 - 62*x + 4. Let a(c) = -c**3 - c**2 - 2*c. Give 6*a(g) - b(g).\nAnswer: 2*g**3 + 50*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {m: 5, w: 1, u: 2, f: 1, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/10  (b) 2\/361  (c) 9  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c7 + 41e?\nAnswer: 5e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76834242, 153668486, 230502730, 307336974, 384171218?\nAnswer: 461005462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -698705885378 + 698705885378 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 0.03141, -3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-7\/2))\/p**(1\/6))**(5\/4)\/((p*p\/(p*p*p**(-2)*p)*p)**(-3\/5))**31 assuming p is positive.\nAnswer: p**(2557\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 7*t - 3. Suppose 3*s + 20 = -7*s. Let k be -12*4*(-1)\/(-8). Let w(l) = -l + 1. Let r(i) = k*w(i) + s*h(i). What is r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 2, 4, 5, -1\/504?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1872 and 91.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1.622376*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*p - 39650 - 9219 = -13243 for p.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11 + -8 + 3254 - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000971642 rounded to 6 decimal places?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -9*c**2 + 2275*c + 516. Determine u(253).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/2165 in -2\/19, -7, -5, -1\/7, -0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eju when three letters picked without replacement from uubjueejbub?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 28745*r.\nAnswer: 5*r*(r - 5749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, e: 4, s: 1, r: 4}. What is prob of picking 3 e and 1 r?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -222*d + 174 - 178 + 10*d + 3*d**3 - 6*d**3 as u*d + r*d**3 + y + v*d**2 and give u.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 11:49 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 23. Suppose 3*u = -4*g + 8, 2*g - h*g + 2*u = -28. Let s(l) = 2*l - 7. Calculate the least common multiple of s(6) and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/40920 and -109\/1540?\nAnswer: 286440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/6 + (-2)\/3. Sort -2\/5, h, 4 in increasing order.\nAnswer: -2\/5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -77 = -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007761561 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12174628 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9, a: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y - 236632*y**2 + 236628*y**2 - 4*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**3 - 4*n + 2*n**3 - 2*n**3 + n as u*n + h*n**3 + l + o*n**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -36, -4 in decreasing order.\nAnswer: 4, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, h: 3, p: 1, u: 1}. What is prob of picking 2 k and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -114*b. Let o(h) = -4*h. Give y(o(v)).\nAnswer: 456*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeaaeeee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and (-7 - -11)\/(1 - (-86)\/(-90))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h - 2*h**2 - 5*h. Let j(x) be the first derivative of x**5\/60 + x**3 + 5. Let f(y) be the third derivative of j(y). What is f(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2371, 9495, 21375, 38011, 59403, 85551?\nAnswer: 116455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001464757 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 + 13. Suppose -3*l - 4 = x - 3*x, -5*l + 3*x - 7 = 0. Let c be (l\/6)\/(2\/p). Solve 5*o = -14 - c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - 0 - -5 - (-84)\/(-35))*-10. Sort 109, u, -3 in decreasing order.\nAnswer: 109, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**3 + 4*x - 684. Let l(o) = -14*o**2 + 20. Determine 11*i(z) - 2*l(z).\nAnswer: -5*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 16\/9*v - 2\/9*v**2.\nAnswer: -2*(v - 9)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*q = 664 + 836. Let s(r) be the first derivative of -15*r + 15\/2*r**2 + q. Find the first derivative of s(j) wrt j.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 683777714 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-28)\/42*(-447)\/2. What is the third derivative of -204*w**6 + 20*w**5 - 19*w**5 + 127*w**2 + f*w**6 wrt w?\nAnswer: -6600*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 16*o**2 - 20.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.2, -7, -50 in decreasing order.\nAnswer: 1.2, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 267182771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of 4\/3*t**3 - 9*t**2 + 0 + 0*t - 11\/8*t**4. Find the first derivative of x(f) wrt f.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, h: 7, j: 2, x: 4, m: 1}. What is prob of sequence js?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99584?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -14*g**2 + 6*g + 801. Let z(d) = 3*d**2 - d - 1. Determine -2*x(h) - 10*z(h).\nAnswer: -2*h**2 - 2*h - 1592","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 19*r**5 + 13*r**4 + 27*r**3 + 11*r**2 + 11. Let u(s) = 10*s**5 + 6*s**4 + 14*s**3 + 6*s**2 + 6. Let h(c) = -6*g(c) + 11*u(c). Factor h(n).\nAnswer: -4*n**3*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/7*4*24283\/62442.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2 + 58*v - 38. Give q(-21).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2641489 divided by -15?\nAnswer: 2641489\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*u = -2118 - 1182 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -220807814 less than -19?\nAnswer: 220807795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 32?  (a) -5  (b) 5  (c) -0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i + 2*i)*(-17*i - 11*i - 2 - 4*i**4 + 29*i).\nAnswer: -8*i**5 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 182864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204 divided by 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 362\/366345?\nAnswer: 362\/366345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -522*s - 189744 = -758*s. Calculate the remainder when s is divided by 245.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5528912 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 21*p**2 - 19*p - 60. Let h be i(22). Solve -h*f - 26 = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11763 - -123?\nAnswer: 11886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 756949389 to the nearest integer?\nAnswer: 27513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 3*r**2 - 2*r - 1. Let o be c(-2). Let v(g) = 7*g**2 + g. Let u be v(o). Suppose i = u*i - 2335. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3264*p - 36 = -3272*p - 108 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7 + (-16)\/(-24)*((-10 - -21) + (-65)\/10). Suppose -2*o + 40 = 3*o. Sort 3, o, w in decreasing order.\nAnswer: o, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-155709977)\/(-115) + 1\/5. Round i to the nearest ten thousand.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m + 5282*m**3 + 3*m - m - 5270*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*c + 45*c + 70*c + 2 + 56*c.\nAnswer: 317*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 18 = 2*o, 2*w + 18*o = 13*o - 3. Let y(b) = 2*b**3 - 11*b**2 - 5*b - 11. Give y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 11:32 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m**2 + 3*m. Let i(g) = 7*g + 2*g**2 - 7*g**2 - 4*g**2. Determine -6*i(z) + 14*p(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3\/4622 - 7305\/573128. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + (-2 - 0))\/((-13)\/26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23386*x**2 - 107*x**3 + 23386*x**2.\nAnswer: -107*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oqcnngofnnngconqongo. Give prob of picking 1 q, 1 g, and 1 n.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 0.3  (c) -5  (d) 16  (e) 6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 6*x + 9. Let o be k(3). Let i be (-3 - -4)*(o\/(-2))\/1. Let t = 8 - 7.8. Which is the biggest value?  (a) i  (b) t  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 14*x**2 + 3 - 12.\nAnswer: 14*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1868648 is divided by 81?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3435015 is divided by 1426?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*w - 10*w - w)*(1 - 7 + 4)*(-162 + 162 + w) - 10*w**2 - 7 + 7.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0023123775 rounded to six dps?\nAnswer: -0.002312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312\/11 + 6\/11*l**3 - 456\/11*l + 138\/11*l**2 = 0 for l.\nAnswer: -26, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 883*d + 3. Let l be b(-1). Round l to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**3 - 4*i**2 + 17*i + 24. Let z be t(-11). Let f = z - 779. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24\/5*b + 0 - 4\/5*b**2 = 0 for b.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*t + 3)*(-4 + 4 - t) - 2 + 2 + t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2097833, -2097827, -2097821, -2097815?\n\"Answer: 6*d - 2097839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 813 is divided by 60?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 260136897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 747, -303, 1\/5?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5262*u*z - 3534*z - 4 wrt u?\nAnswer: 5262*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 74841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvcuruuvvcvvuv. Give prob of sequence cr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -13. Put -0.5, 1\/13, k in descending order.\nAnswer: 1\/13, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0.2, -0.283, 1, 10\/59, -2\/5.\nAnswer: -2\/5, -0.283, 10\/59, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -10*l - 18. Let i(s) = -s - 1. Let b(w) = 12*i(w) - m(w). Let c = 11 + -7. What is b(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q. Let p(o) = -o + 3. Suppose 0 = 40*x - 11*x - 29. Give x*p(t) + 4*h(t).\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256*b + 10977 = 4577 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4276126.\nAnswer: 2, 211, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15107070 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4756 + 23.21507.\nAnswer: -4732.78493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 36490238447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4*f + 10944. Let s be 4261 + (0 + -1)*0. Let p = s + f. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20039769 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 2. Let m(z) = z**2 + z. Let y(n) = -i(n) - 5*m(n). Let k be (-1)\/1 - 1 - 2. Give y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 475073 - -0.0122433\nAnswer: 475073.0122433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -10322144404?\nAnswer: -10322144410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 4*p = 28. Let c(x) = -6*x - x + 1 - 7*x**2 + x - x**3 + x. Let i be c(p). What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 893 is divided by 306?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - d + 34 = 14, 0 = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1300735 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*h - 19, -4*p + 7 = -0*h + h. Let f(b) = -31 - 7 - b**p + 78 - 2*b**2 - 21 - 2*b. What is the remainder when f(0) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 1:50 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 310 + -206. Let c(u) = -5*u + 81. What is the remainder when z is divided by c(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 - 60288*j - 180828.\nAnswer: -4*(j + 3)*(j + 15069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z**5 - 81964*z**4 + 5000020*z**3 + 1255128*z**2 = 0.\nAnswer: -1\/4, 0, 62, 5061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -15*u**2 + 8*u - 1. Give x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 604, 604, 592, 562, 508?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -4913*w**4\/4 - w**3\/3 + 756*w**2 - 2*w + 6406. What is the second derivative of r(x) wrt x?\nAnswer: -29478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3049193*m**2*y**3 - 448500887*m**2 - m + 33*y**3 wrt y.\nAnswer: -9147579*m**2*y**2 + 99*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 352 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l**2 - 6*l**2 + 3*l**2 + 0*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l - 3. Let n = 8 - 6. Let c be k(n). Suppose -4*x - c = -35. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(21) + ((sqrt(189) - (sqrt(189) - (sqrt(189) + sqrt(189)*1)))\/sqrt(9) - sqrt(21) - sqrt(21)))\/(sqrt(28)\/sqrt(4)*1) + 5.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 3:13 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 10*v**2 - 10*v - 7. Let m be n(-9). Suppose 185 = -m*h + 217. Sort 5, 3, h in decreasing order.\nAnswer: h, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 2428335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10 + (-799)\/(-68))*48. Calculate the highest common divisor of 2912 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.26 + -2.24. Let o = a + 3.6. Sort o, -25\/8, -1 in decreasing order.\nAnswer: o, -1, -25\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1*s)\/(s**8*s))\/(s**(2\/17)*s**(-7\/3)\/s) assuming s is positive.\nAnswer: s**(-193\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(171) - -5*-2*sqrt(171))\/(-1*sqrt(9)*3).\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**2*n**3 - 22930*i**2*r**2 + 759*i*n**2*r**2 - n**3 - n**2*r**2 wrt i?\nAnswer: 2*n**3 - 45860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*r. Suppose 3*q = -r*q. Let f(d) = d**2 - d + 2. List the prime factors of f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 3*y = -5, o + 0*y + 5*y = 7*y - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000036316 to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-32526)\/156 + (-5)\/2. Let y(m) = -11*m**2 - 9*m + 2. Let x be y(4). Do t and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1775.86926 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 191898630*d**2 - d - 282228089.\nAnswer: 383797260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/2300 and 127\/5590.\nAnswer: 1285700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 * -13\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1265*a**2 + 59145*a - 14570.\nAnswer: 5*(a + 47)*(253*a - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**3\/15 - 8*d**2\/5 + 24*d\/5 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1265321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (24 - 23)*5\/17 - -13.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -94*k + 721941 + 641905. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2644173109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 3, 0.06 in decreasing order.\nAnswer: 3, 0.06, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 x when four letters picked without replacement from zzxooxwwoxxxxozzoo.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3200\/(-64) + (29 - 2) + -14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - (-45 - (-3 + -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152 minus 4101509?\nAnswer: -4101661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9c0ae (base 15) to base 2\nAnswer: 1111001001010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -6*a - 91. Let d be f(-22). Let c = 112 + -67. Let w = c - d. Solve -b - w = 2*r + 9, 5*r = 4*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 121.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3127367*b**3 - 3127357*b**3 + 6254725*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-40)\/1*(-13)\/52 + -5 + 0. Let n(r) = -47*r**3 - 5*r**2 - 5*r + 5. Let f(p) = -48*p**3 - 6*p**2 - 6*p + 6. Determine w*f(j) - 6*n(j).\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m - 36. Let l be y(0). Let n = l - -37. What is the lowest common multiple of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 + 4*h - 1. Let y be g(-4). Let u = y - -1. Suppose u*z - 24 = -b + 3*z, -3*b - 2*z = -105. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 67 = 2*l, 4*l - 51*i + 76 - 2 = -45*i for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1084757, -1084756, -1084755, -1084754, -1084753?\nAnswer: -1084752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 484 + -479. Suppose -4*z + 2*z = 5*y - 8941, y + s*z = 1802. List the prime factors of y.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 + 64 = -2*g + 9*g - 3*r + 67 + 50, -r = 2*g - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 83387 and 7.\nAnswer: 583709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -245194 divided by 5.\nAnswer: -245194\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l - 100 + 36 = 34 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 57\/2 of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -916 divided by -23882?\nAnswer: 458\/11941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 278 divide 216654562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1345 and 196639.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24.7 + 24.76. Which is the third smallest value?  (a) -0.3  (b) r  (c) -3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w + 3. Let v(i) = i**2 + 4*i - 40. Let z(c) = -4*p(c) + v(c). Let k be z(-7). Sort 3, 1, k, -5 in descending order.\nAnswer: 3, 1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -528844116 divided by -1\nAnswer: 528844116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*c + 885*c - 290*c - 289*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -156*x + 7. Let w(s) = -3*s - 37. Let k be w(-11). Is m(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 5*c**3\/3 - 19*c**2 + 173*c - 122. Is 4 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**4*y**3 - 3*l**4 + 24*l**3*y**3 + 11*l**2*y**3 - 4*l**2*y - y**3 wrt l?\nAnswer: -48*l*y**3 - 72*l + 144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 118, 81, 18, -71, -186, -327, -494?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 725, 4721, 15257, 35597, 69005, 118745, 188081, 280277?\nAnswer: 398597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 2:15 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -31 + 23*p - 3*p**2 + 78 - 7*p - 5*p + 4*p**2. What is the remainder when 37 is divided by g(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 17*r**2 - 274*r**2.\nAnswer: -257*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 1223*n - 55083. Calculate l(45).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 153 - 108. Suppose 3*i + 225 = 8*i. What is the greatest common factor of f and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.8, -57, 0.5, -0.033, -2, 4, 3?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18439380 and 28683480?\nAnswer: 258151320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 123787721 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 41*d**3 - 1. Suppose c = -2*c, 5*c = 2*x - 2. Let i be p(x). What is the remainder when 18 is divided by (2 - -1)*i\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*i - 4*y = 52*i + 1, 5*i - y - 43 = 0. Solve 0*p - 3*h = 4*p + 13, 3*p + 3*h = -i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19.8  (b) 6  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2493 - 14887. Let d = -6953 - i. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5403612, -10807232, -16210852, -21614472?\n\"Answer: -5403620*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 0 - (-1 + -1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-990)\/(-4))\/(-33))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -5*x + 4*x + 0*x - 8 + 4*x. Calculate the remainder when 38 is divided by u(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1212 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k**5\/3 + 416*k**4\/3 - 13168*k**3\/3 + 3308*k**2\/3 + 13154*k\/3 - 3724\/3 = 0. What is k?\nAnswer: -49, -1, 2\/7, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 2 - 11)*(-2*j**3 + j**3 - j**3).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -25. Suppose t = 5*b + 3. Suppose b*g = -0*g + 30. Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 24f25e9?\nAnswer: -24f25e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-4))\/(12\/(-5992)). Let q = -533 + t. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3169*q - 288 = -3187*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g + 57. What is l(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hukkukuuukhhhuhuu. Give prob of picking 2 u and 2 k.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7000 divided by 1400.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -32  (b) 4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 10*y - 24. Let z be 2*((-14)\/(-12) + 8\/24). Suppose 3*p = -0*p + 9, -5*h + 4*p + 43 = 0. Calculate the remainder when h is divided by v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r**5 - 432*r**4 - 1320*r**3 - 1328*r**2 - 444*r = 0 for r.\nAnswer: -1, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u - 3. Let l be c(3). Let o be l\/((-9)\/(-6) - 3). Let v(r) = -r - 7. Let m be v(-5). Are m and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**4 + 30*b**3 - 87*b**2 + 96*b - 36 = 0 for b.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.3, -21, -1\/20, -29, -173, -2\/9?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1223039 is divided by 331?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - (-4 + -77 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -3*l**4 + 84*l**3 - 720*l**2 + 1728*l = 0?\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -69\/5*n**5 + 7\/2*n**6 + 3*n**2 + 0*n - 13*n**3 - 3 + 81\/4*n**4. Determine c so that u(c) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 11. Which is the second biggest value?  (a) 0.1  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 143768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 10*m**2 + 11*m + 2. Let l be s(11). Suppose -5*u + 50 = -l*u - n, n = 5*u - 82. Suppose 3*k + 1 = u. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -44381\nAnswer: 44381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -44 + 8?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-6)\/9*1. Suppose 3*y + 15 = 0, -m*z + y = -4*y - 37. Factor -2 + 1 - 2*x**2 + z*x - 3.\nAnswer: -2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*r + 2. List the prime factors of 30\/(3 + (r - 2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)\/(sqrt(40)\/sqrt(4)) + (sqrt(17) + -2)*-3)*4 - (6*-3*sqrt(136))\/(sqrt(128)*2))**2.\nAnswer: -276*sqrt(17) + 18209\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 5808?\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 <= 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -504 divided by 168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - a**2 + 4*a - 1. Suppose 0 = -4*v - 5*x - 11, v + 3 = -3*x - 5. Let m(i) = -4*i + 1. Let q be m(v). What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*a**2 - 2*a**2 - 2*a**2)*(5*a - 2097 - 3584 - 18*a**2 - 3*a + 17*a**2) to t*a**3 + b + g*a + p*a**4 + v*a**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-2 + 0 + 6 + -9 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssvllyd. Give prob of picking 1 d and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 199 divide 389241893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 + 6. Let t = 76 + d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14410.414841687 - 0.322458313. Let i = -14410 - j. Let y = -0.0197 - i. What is y rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -21. Let a(s) = 0*s - s + 3 + 5*s - b*s. Let f(c) be the third derivative of 3*c**4\/8 - 7*c**3\/6 + 2*c**2 + 281. Give 5*a(d) + 2*f(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 1121*m**2 + 20*m + 98. What are the prime factors of g(-4)?\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*b + n = -108*b, -5*b = -7*n. Solve b = -9*j - 17 + 26 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*x + 8 - 21*x**4 + 17*x**4 + 2*x + 19*x**4 - x**5 wrt x?\nAnswer: -20*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -271 - -1356\/5. What is the nearest to -1 in 0.05, z, 4, 21?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -18, -31, -46, -63, -82?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1659290848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 301425?\nAnswer: -301431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4440577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1497 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -97 - -218. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -289, -590, -901, -1228, -1577?\n\"Answer: -a**3 + a**2 - 297*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -h**4\/6 - h**3\/6 - 3*h**2\/2 + 3*h. Let y(z) = 0*z - 2*z - 8 - 3*z**2 - 3*z**2. Let f(v) = -8*a(v) + 3*y(v). Factor f(d).\nAnswer: -2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*v + 400*v**3 - 77*v**3 - 11*v - 52*v - 29*v.\nAnswer: 323*v**3 - 142*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5206 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ksos when four letters picked without replacement from {o: 1, k: 5, s: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 k when four letters picked without replacement from {k: 2, g: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -124504 divided by -4\nAnswer: 31126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2282.99 + -2283. Let i = -32 + 32.4. Which is the closest to -0.4?  (a) h  (b) -1\/5  (c) i  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 7:03 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 3*a + 4*a + 2)*(2506 - 876 - 1137).\nAnswer: 1479*a + 986","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 - 394 = -5*w - m, w - 57 = -4*m. Suppose 5*r + k = w, 3*k + 72 = 5*r + k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -119 - -225\/2. Calculate the common denominator of g and -49\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 378 - 123. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2321 and 15104013?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.37 and -263827.\nAnswer: 97615.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of w*x**4 - w*x + 60*x**5 - 38 wrt x?\nAnswer: 12*w*x**2 + 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 - 0.062200655?\nAnswer: -0.102200655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**2 - 8 + 8 + (-2 + 0 + 4)*(g**2 + 0*g + 0*g) + 770 - 1540 + 770 - 1528*g**2.\nAnswer: -1524*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 180.3088 hours?\nAnswer: 649111680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*g**3 + 77*g**3 + 64*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*q - 3*q - 2*q**3 + 4*q**3 as p + m*q**2 + k*q**3 + t*q and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - g = 11, 0*q - 2*q - 3*g + 11 = 0. Solve -21 = -q*v + 3*l, 5*l = -2*v - 5 - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 28 - 32 = 0. Let r(a) = -a + 1. Let u(b) = -8*b**2 - 5*b - 2. Let q(t) = g*u(t) - 2*r(t). What is the second derivative of q(w) wrt w?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**2 + 886 - 8*m**2 - 323 - 228*m - 561.\nAnswer: -8*m**2 - 228*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121320220322 - 10?\nAnswer: -121320220332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 7 + (-6 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 13*y**2 - y + 13. Let i(c) = 7*c - 3*c**2 - 7*c - 3. Let q(v) = -v - 11. Let u be q(-9). Calculate u*r(k) - 9*i(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -b**4\/12 + 11*b**3\/6 + 55*b**2\/2 - 96*b. Determine y(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 + 1*(-3)\/3. Sort 1, n, -4, 28 in ascending order.\nAnswer: -4, 1, n, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(2*k - 2*k - 2*k)*(-3 - 4 + 6)*(7*k**4 - 3*k**4 + 6*k**4).\nAnswer: -40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-6) + 16\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*d - 18*d + 20*d)*(0*d**2 + 0*d**2 - d**2) + 3*d**3 - 3*d**2 + 5*d**2 - d**2.\nAnswer: -10*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 - -127. Suppose -s*k - 22 = -95*k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 9:08 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1184)\/(-28) + 6\/(-21) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 0.1, -15, -5, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -147, -304, -475, -666, -883, -1132, -1419, -1750?\nAnswer: -2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 20646*u - 623. Is k(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 1:01 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 times 0.04931?\nAnswer: -1.13413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, v: 1, d: 1, t: 1, n: 9, q: 2}. Give prob of picking 1 q, 1 v, and 1 d.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-3)*12\/14. Let c be -7 - (4 + 2)\/(-3). Are s and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) -2\/3  (c) -53\/4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 68 + 48 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.25 and -52.5.\nAnswer: 13.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-11 - 6\/(-1)) + 13. Let c(d) be the first derivative of -a*d + 1\/2*d**4 - 7*d**2 - 4\/3*d**3 - 21. Factor c(s).\nAnswer: 2*(s - 4)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (170\/38 + (34 - (-44 + 78)) - -4) + -9.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -875, -1565, -2247, -2921?\n\"Answer: 4*k**2 - 702*k - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 131509233 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23, -37, -51?\n\"Answer: -14*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 523*b**3 + 487*b**3 - 2007*b**3 + 502*b**3 + 496*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 8185, 16371, 24557?\n\"Answer: 8186*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x**2 + 4*x**3 - 6*x**2 + 5*x**2 + 92*x.\nAnswer: 4*x**3 - 10*x**2 + 92*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/4378 and 99\/488.\nAnswer: 1068232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 16*p**2 - p + 16. Let t be s(16). Let n(x) = -9*x + 2*x**2 - 8 - 9 - x**2 + 1. Let j be n(11). Solve 2*g - j = 0, 3*g = -b - t + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 2*x**2 - 2*x + 3. Let m be s(1). Suppose m = 19*y - 14*y. Is 14 a factor of (y - (-70)\/(-12)*2)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 6*z**2 + 3*z - 9. Let a(d) = 1284*d + 0*d**2 - 1285*d + 2*d**2 - 9. Let p be a(3). Give q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0*o**3 + 3*o**3 - 3)*(-1 - 2 + 1)*(7 - 1 - 5) to the form d*o**3 + f + h*o + m*o**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10 - 4 + 186)*(1 + 5 - 5)*(-4*a + 2*a - 2*a) to h + r*a and give r.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -12100*y + 8699870. Give d(719).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + 0*l + 0*l)*(-2 + 2 - 1)*(2*l - 2*l - 2*l) + (-2*l + 4*l + 0*l)*(4*l**2 + 20*l - 20*l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2681206 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6478 = -44*q - 7921 + 15631 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 28*i + 48 = 0. What is the nearest to 2 in -2, -3, i, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 5:19 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 - 20. Let x(y) = 16*y**2 + 16*y - 5*y**2 - 6 - y**o + 26. What is the tens digit of x(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - o - 8. Let n be x(4). Solve 2*w - 6 = n*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 1:22 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -57041 - -4?\nAnswer: -57037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0 + 10. Suppose 0 = -5*u + 4*q - 47, -2*u - 4*q + g*q - 20 = 0. Let a(j) = -j**2 - 14*j + 2. List the prime factors of a(u).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -1  (b) -1.2  (c) 4  (d) -1\/4  (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 - 22. Let f(x) = 11*x**2 + 15*x - 2. Calculate the remainder when l is divided by f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m. Let a(o) = 56*o - 32. Let p(w) = -11*w + 6. Let n(s) = 3*a(s) + 16*p(s). Determine j(n(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*n - 19 = 0, -35*i + 34*i + n + 5 = 0. Solve -4*k + 5 = -z, 3*k + 2*z = -i*z - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + 1.6. Let h = 4 - j. Let k = 0.2 - 0. Which is the second biggest value?  (a) k  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-5*sqrt(110)*-2)\/((1*(sqrt(80) - 2*sqrt(80)))\/sqrt(8)))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -69, -75, -81?\n\"Answer: -6*o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 9*l = -55. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 5 - (-770)\/(-250)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 16254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -8*y - 24. Let f be j(-3). Let h(i) = -i**3 - i**2 + i - 1. Determine h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-119)*(9\/126)\/((-109)\/5341)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.28 - 0.378.\nAnswer: -0.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {c: 6, a: 3, n: 2, d: 1, k: 1, q: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 11*b**3 - b**2 - 2*b + 2. Let v be 6*(-1)\/(-2) + -2. What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yayttyyttt. Give prob of sequence yty.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - -3.2364.\nAnswer: 12.2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + 10*p - 1. Let i(b) = b**2 - 9*b + 9. Let u be i(5). Let s be j(u). Is 1957\/5 - 4\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-5*(sqrt(7) + 0).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(468)*3 + sqrt(468)*3 + sqrt(468) + -5 - ((2 + sqrt(468))*-6 - (3 + sqrt(468)*2)))**2.\nAnswer: 2160*sqrt(13) + 105444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 21 = -7*k + 2*k, -2*c + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1\/2, 3\/2, 0, 1\/8 in ascending order.\nAnswer: 0, 1\/8, 1\/2, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 6*j**3 - 77*j**2 - 5 + j**3 + 308*j**2.\nAnswer: -5*j**3 + 231*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*m + 65*m + 68*m - 11*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**2\/5 - 546744*c\/5 - 546734 = 0. What is c?\nAnswer: -273367, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948578195?\nAnswer: 5, 463, 409753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*sqrt(68))\/(3*-2*sqrt(4) - sqrt(4)) + (sqrt(119) - 1*sqrt(119)*2)\/(sqrt(28)\/sqrt(4)*-1).\nAnswer: 13*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.173 or 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1198413 is divided by 47936.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p - 15 = 7*p. Suppose 3*q = i + q + 8, 2*i + 34 = -p*q. Let m = i - -14. What is the closest to -1 in m, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -204 + 427. Suppose -3*p = -245 - x. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36590151 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-949)\/146 - 3\/2. Let d be (-2 + 0)\/(u\/12) - 3. Let n be (-1 + 0)\/(1\/(-3)). Solve d = 3*o + n*y - 12, y + 0 = 4*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.5?  (a) 4337\/16  (b) 1\/3  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (266 - 56)\/(2\/((-8)\/(-6))). Let o = 42 + -22. What is the greatest common factor of h and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 + ((-86688)\/(-140))\/12?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362781103 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 544\/12*3 + 4. What is the highest common divisor of 56 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/6 and (2*9\/108)\/((-61)\/(-45)).\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 66*r**2 - 1047*r - 949. Determine z(37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 955488189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 128*u**4 + 0*u - u**2 + 1\/40*u**6 + 0*u**3 + 16\/5*u**5 + 16. Factor c(k).\nAnswer: 3*k*(k + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 19*d**2 + d - 2. What is the remainder when 84 is divided by o(19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19427, 19425, 19423, 19421, 19419?\nAnswer: 19417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.11615 and -3.\nAnswer: -0.34845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of 0 - 1\/2*g**3 + g**2 + g. Let r(b) = -8*b + 17. Let v(z) = 2*z - 4. Let x(y) = -6*r(y) - 26*v(y). Give -6*u(n) + 5*x(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 617 = -641. Suppose 4*p - 36 = p. Suppose -3*v = -6*v + p. Sort v, x, -4 in increasing order.\nAnswer: -4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -648, -952, -1256, -1560, -1864?\n\"Answer: -304*n - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35981*a**5 - 166*a**2 + 175*a - 1?\nAnswer: 2158860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0.15343, -0.39 in ascending order.\nAnswer: -6, -0.39, 0.15343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 477*q**5 + 32439*q**4 + 583098*q**3 + 1074054*q**2 + 526185*q + 3267 = 0 for q.\nAnswer: -33, -1, -1\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(72\/9))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.37 + -4.37. What is the nearest to w in 0.1, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.336, -0.04, -4, -0.1, 0.1, 5 in descending order.\nAnswer: 5, 0.336, 0.1, -0.04, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -269*f + 220*f + 147. Sort f, 1\/60, -6 in increasing order.\nAnswer: -6, 1\/60, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 11*m**2 - 17*m + 18. Give x(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/((-132)\/8))\/((-2060)\/(-110) - 18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4.11*-193903\nAnswer: 796941.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 4 = 54*s - 52*s, -r + 1 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 150920\/3 + -48815. Let x = a - 1515. What is the common denominator of x and 17\/122?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -434?  (a) 0  (b) 16\/43  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 62 + -38. Suppose -2*v + 0*w - 2*w = -h, 0 = 2*v - 3*w - 14. Let b(l) = 5*l - 23. What is the remainder when b(8) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p + 11. Let t(a) = a - 7. Let m(f) = -5*b(f) - 7*t(f). Let o = 58 + -63. Let h(d) = 2*d + 6 + 1 - 2. Determine o*m(v) - 6*h(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 520205 is divided by 541?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 8:50 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -88.809 + -0.191. Let k = 88.925 + x. What is k rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -41*l**3 + 9*l + 26. Is 14 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*t - 122 + 587 = 0, 4*t - 162 = -2*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 355 + -360. Let r = 5.09 - 5. Let w = 0.01 + r. Put 3\/7, u, w, -0.5 in decreasing order.\nAnswer: 3\/7, w, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.10656 - 0.04283. Round k to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(720)*-4)*3)**2.\nAnswer: 3456*sqrt(5) + 103824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 195 + 1016. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10056 - -27132. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -q**3\/7 + 24*q**2\/7 + 51*q\/7 + 5. Find k, given that l(k) = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -622 - -623. Solve b - 2 = -5*m - 9, -m = -b - h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + (239 - 2))*3\/(-6). Let z = p - -120. Suppose 3 + 5 = i. Solve z = m + c + 4, -3*m = 2*m - c + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2\/19 + 2710*n\/19 + 13500\/19 = 0.\nAnswer: -1350, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 5*l**2 + 7*l + 8. Let n be x(-6). Let q be 0\/(-1 - 2 - -2). Suppose q = -a - n, -2*a + 80 = 3*p + p. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*z - 36*z + 15428 = 117*z for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from vyvvvyvvvvvyvvvvj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -196 - -239. Let q(y) = -28 + r + 2*y - 27 - 5*y. Calculate q(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 7. Let p = -5 - -4. What is the common denominator of (2\/6)\/(p\/j) and -101\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 4:56 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29049476 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 241*a - 16*a + 585*a + 294*a to f*a + i and give f.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 90300 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112773043.\nAnswer: 179, 630017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 716, 747, 778?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -13 - ((-2937)\/42 + (-34)\/476). Calculate the highest common divisor of l and 1444.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w - 2. Let h(a) = 4*a**2 + 8*a - 1. Let y(u) = -u**2 - u + 1. Let q(o) = -h(o) - 3*y(o). Let n = -18 + 13. Let b be q(n). What is d(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-495)\/(-814) + (-2)\/4. Let q = 44 + -33. Suppose q = -3*j + 11. Are j and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 - 22. Suppose 81 + k = 4*j. Is (-4664)\/(-10) + 15\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(-1) - (1 + 1). Suppose 0 = -d*r - 0*r + 15, t - 5*r - 44 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a + 17844. Let w be z(0). Suppose n - w = -3397. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1058321.77 and -5105055.\nAnswer: -4046733.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(300) + -2 + 0 - sqrt(300)) + sqrt(300) - (2 + -2 + sqrt(300))) + 4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.569332136 rounded to five decimal places?\nAnswer: -0.56933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 8:29 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.043 + 0.807. Let r = d - 1.85. Which is the closest to r?  (a) 0.06  (b) -2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/45*35*6\/(-21)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -235 divided by 11.\nAnswer: -235\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 0)\/((-9)\/(-6)) - (-918)\/51?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i**2 - 8*i - 20. Suppose -83 = -3*g - 125. Let r be (-1)\/(-1) + -2 - g. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10001 (base 2) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 4*q - 24, 35 = 5*u + 5*q - 0*q. Let g be (-3)\/(-3 - 0) + 1\/(-1). Sort u, -3, g in ascending order.\nAnswer: -3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.64*4\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 949 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -224*z - 2010. Give b(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9430*t - 7113*t + 16542*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4295425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2620*j - 2626*j + 42 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -5*y**2. Determine x(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1734793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 4*r + 11, -3*y + 5*r - 6 = -41. Suppose -2*d - 2 = -4*o, -2*d + 13 = o + 5. Suppose -d = h - y. Which is the closest to h?  (a) -1  (b) 4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 56 = -s + 3*s, 0 = -5*s + 3*u + 140. Suppose 1435 = -23*w + s*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.109934 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**8\/(u**(-10)*u))**(-3\/2) assuming u is positive.\nAnswer: u**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7300*k**2*z + 11*k**2 + 29*k*z - 14*k + 2*z - 3 wrt k?\nAnswer: -14600*z + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*h + 41*h + 28. Let r = -0.2 - -0.1. Let a = -3 + 0. What is the closest to a in -3, r, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -i + 1, -8 = -2*l - 0*l. Let b = i - -6. Calculate the smallest common multiple of -2 + -4 + 4 + 7 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1604 divided by -4.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/2  (b) 2  (c) 5  (d) -10  (e) -0.1894  (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 257*h + 5. Let j(a) = -103*a - 2. Let i(u) = -5*j(u) - 2*s(u). Let r(p) = -3*p - 515. Calculate r(i(n)).\nAnswer: -3*n - 515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1099139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 62 = -5*m, -3*h + m = -2*h - 22. Let s = 36 - h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n - 2*u = 12*n + 5011, 0 = -4*u + 4. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -646*o**2 + 274*o**5 + 26142*o**3 + 787*o**5 - 313*o**2 - 26142*o**3 wrt o?\nAnswer: 63660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50832 and 110136?\nAnswer: 660816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 60*y + 422. Let c be u(-7). Let k(m) = m**3 - 6*m + 14. Calculate k(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*q + 122 = 0. Let h be (-46)\/207 + 29\/9. Suppose -h*i - 47 = -143. Calculate the remainder when q is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -5*j**3 - 2*j**2 + j - 2. Let l be f(2). Let i = -29 - l. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2796)\/(-1165) - 123\/45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23557 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6578 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111123122213 (base 4) to base 7.\nAnswer: -65514011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r - 2*r + 3*r)*(-r**2 + 4*r**2 - r**2) + 6 - 6 + 2*r**3 - 2*r**2 to the form y*r + k*r**2 + t*r**3 + a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18933 - 18545. Calculate the lowest common multiple of a and 26.\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 799.5?\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-1)*7)\/(5*(-4)\/60*6)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 243722120 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 207792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 4*w - 3. Suppose 4*f - f + 9 = 0. Let b be 1 - f - (26\/(-2) - -1). Solve 5*r = -w*i + 8, 0 = -0*r + 3*r - i - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 84803\/87300 + 6\/(-9). Let f = -2\/2425 - w. Find the common denominator of f and 11\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 236*y**2 - 1691*y - 2430. Let q be i(243). Determine h, given that 2\/7*h**5 - 8\/7*h**2 - 6\/7*h + q + 4\/7*h**3 + 8\/7*h**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r + 3*r - r)*(-4*r + 4*r - r**2) + 0*r**3 + 18*r**3 + 52*r**3 to c + a*r**3 + p*r + g*r**2 and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-48)\/(-56) + 0 + (-2774)\/(-14) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*l + 82 = -46. Let h be (-2)\/6 - 3\/(-9). Let b be (h - (-2)\/(-1)) + 7. Sort -5, b, l in increasing order.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**2 + 15*k - 66. Determine l(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (54\/(-105) - -1) + (-2)\/10. Let q = -0.28 - 0.19. Let t = q - -0.97. What is the closest to -0.1 in h, -7\/5, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = -4*i - 3*y, -i - 44*y + 112 = -40*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 5*a + 1078 - 1100, a + 7 = -3*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/(i\/(i**(17\/3)\/i)))\/i)\/(i\/i**(-2\/25)))\/((((i\/(i*i\/(i*i\/(i\/(i**(-23)\/i*i)))*i))\/i)\/i)\/((i\/(i**(2\/25)*i*i))\/i*i)))**(-41) assuming i is positive.\nAnswer: i**(-84583\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - 7) + (2 - (-15 + 6) - 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1987767 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 97?  (a) 3  (b) 10  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4854551*j + 14563660. What is n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**2\/(s\/(s\/(s\/(s\/s**5*s)))))**(-28))**(-32))**(-5) assuming s is positive.\nAnswer: s**8960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33 and 12837.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2209, 5, -47, -2\/31, -4 in decreasing order.\nAnswer: 2209, 5, -2\/31, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 5:58 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16 - -8*4\/24*(-81)\/(-18). Solve 4*k = -2*h + n, 4*k + h + 2*h = 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21096 - -40306. What are the prime factors of t?\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zhzzzvhhjmzj. What is prob of sequence zjvj?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 885710 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 429*p - 3420. Determine r(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v + 3 - 3 + (-v + 0 + 0)*(-3 + 1 + 0))*(-4 + 0 + 2).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1737 - 3479 + 1736 - 3*a.\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-5))\/(((-23)\/(-1))\/115*22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1*27\/6)\/(-3). Put d, -3, 1 in decreasing order.\nAnswer: 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**2*r**2 - 45843444*n**2*r + 29958835*r**2 + r wrt r.\nAnswer: 2*n**2 + 59917670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*u = 3. Let z(c) = -33*c**3 - c**2 + c + 1. Let o be z(u). Let w = o + -19. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -419 divided by 4\nAnswer: -419\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6529, 13019, 19509, 25999, 32489, 38979?\n\"Answer: 6490*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10164, 10190, 10216, 10242?\n\"Answer: 26*f + 10138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42769 less than or equal to 299378\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-122)\/658 - 234\/(-5499)) + 544\/(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54866, -109782, -164754, -219782, -274866?\nAnswer: -330006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 3*z**2 - 53*z - 1. Let f be b(9). Solve -5*n + 4*t = -f, 4*n = -3*t + 14 + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26785\/6 - -4483. Let i = 2379 - 16608\/7. Calculate the common denominator of x and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 621 divide 340241969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 12) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 204 and 9880485.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62678 is divided by 81?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*b**2 + 466 + 5880*b - 2*b**2 + 351 - 817.\nAnswer: -2*b*(b - 2940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67721 + -46262. List the prime factors of p.\nAnswer: 3, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l - 7. Let a(i) = 2*i - 3. Suppose -2*n + 3*o + 6 = 0, -4*n - 19 = 3*o + 5. Suppose -3*f = 2*f - 455. Let s = -84 + f. Determine n*k(h) + s*a(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*x - 103*x - 4 - 55*x - 30.\nAnswer: -8*x - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2705283 to the power of 1\/2, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 3*c + 1. Let j be m(3). Suppose 5*p = b - 6 - j, -2*p = -b - 2. Let f(q) = -10*q + 1. What are the prime factors of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7363 divided by 1.\nAnswer: 7363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 339693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 153 and 24.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 17549077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*u**2 + 1 - 32*u**2 + 57*u + 8*u**2 - 27*u**2.\nAnswer: -39*u**2 + 57*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/2)\/(7\/14) + 133. Let v = -124 + u. Calculate the remainder when 12 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/6 - (-34)\/6. Suppose 29 = r*k - 31. Let f be 3\/k + 7\/4. Solve 2 = -g + f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g + 27. What is t(-23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2\/7*f**2 - 2\/7 + 4\/7*f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -19 - (-1 - 4 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8615*w + 4257*w + 5514*w - 151436 for w.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11160 * 3.\nAnswer: -33480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 514029012 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*y**3 - 39*y**3 + 108*y**3 - 513*y + 1022*y - 512*y - 39*y**3.\nAnswer: -7*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26864435.\nAnswer: 5, 13, 413299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, k: 1, v: 1, e: 2, p: 2}. What is prob of sequence wp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6.46 * 4042\nAnswer: -26111.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5902697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 763040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4862445 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 19421298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 41550919 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 2 + (-16)\/6 - 400\/(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1655457 is divided by 190?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1271577 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from 7500.3.\nAnswer: 7503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 35*v - 47. Let o be d(3). What is the highest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-6*3\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5404 and 3626470.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 1, 3, 2, -5 in decreasing order.\nAnswer: 11, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -16, -34, -56, -76, -88, -86?\n\"Answer: w**3 - 8*w**2 - w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(2\/4) + 0. Let i = -51 - m. Let c = -32 - i. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**4 + 3*l**3 + 10*l**2 + 4*l. Let y(h) = 2*h**4 + 2*h**3 + 10*h**2 + 4*h. Let p(q) = 6*j(q) - 5*y(q). Suppose p(w) = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3311.6791 - 3312. What is o rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -11 - 15*y - 2 + 1. Let a be c(-4). Let l = 50 - a. Solve 4*u + 36 = -3*j - l*j, -4 = -u + 2*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - 5*q**2 + 7*q - 4. Let u be v(-6). Let k = -7 - u. Suppose -3*z + 86 = -3*p - 61, k*p - 15 = 0. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of 15\/8*u**4 + 0*u**3 + 13\/30*u**5 + 0 + 0*u - 8*u**2. What is the second derivative of k(c) wrt c?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 60134009.\nAnswer: -4\/60134009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6340 is divided by 6288.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -940*v = -1005*v + 195 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -0.08, -1, -1\/11, -14, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/(z*z*z*(z\/(z**38\/z*z))\/z*z*z))*z)\/(z*z**(-19)))**(-6) assuming z is positive.\nAnswer: z**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 6*k + 4. Let a be (2 + 0)\/((-1)\/3). Is 3 a factor of n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767471.\nAnswer: 767471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**3\/3 - 52*h**2\/3 - 4342*h\/3 - 11136 = 0. What is h?\nAnswer: -29, -9, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 233872 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.06925*1.7047\nAnswer: -0.118050475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 153032232 + -10?\nAnswer: 153032222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 10*p + 5. Let i be t(5). Suppose -n = -2*n + 5. What is the greatest common factor of n and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.13 + -0.562. Let a = -0.062 - -0.07. Let j = a - p. Are j and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0312768931 rounded to 4 dps?\nAnswer: 0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 - x**3 + x**3)*(12*x - 9*x + 11*x)*(-1 + 4 - 2).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (6 + -6 - 5) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 10 = -5*x, 0 = -5*s - 3*x - 5 - 1. Suppose -4*c + 57769 + 1383 = s. Let f = 266257\/18 - c. Find the common denominator of 29\/22 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v + 6. Let z(s) = 1. Let i(q) = 2*x(q) - 18*z(q). Let g be i(1). Which is the closest to -3\/5?  (a) 4  (b) g  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7493.3 - 7493. Which is the third biggest value?  (a) p  (b) 3  (c) -132\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z**2 - 65*z + 1204. Give w(-29).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*j - 16*j + 8*j)*(-1 - j**2 + 5*j**2 - j**2).\nAnswer: -102*j**3 + 34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 6. Let a(b) = 169*b - 19. What is a(x) + 3*t(x)?\nAnswer: 169*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-7 + -5 - 3 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 27*j**2 - 39*j - 161. Let u be r(-28). Solve 0 = 3*k + 150 - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2054.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 12*l - 4*l. Let p be 5 + ((-3)\/l - 6). Suppose 0 = -s - 3 + 1, p*a + 5*s = 144. Calculate the highest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*v**3 + 43 + 192*v**2 + 12*v**2 + 683 - 1221*v.\nAnswer: -3*(v - 11)**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/((-216)\/896) + 68\/(-153). Sort 4, y, 2, -4.\nAnswer: -4, 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 0.4, 10\/7, -85 in increasing order.\nAnswer: -85, -5, -4, 0.4, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99783.\nAnswer: 3, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: d71 (base 14) to base 6\nAnswer: 20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3583233700, -3583233701, -3583233702, -3583233703, -3583233704, -3583233705?\n\"Answer: -q - 3583233699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5452 is divided by 127?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 3*t - 2 = -13, 5*y - 8 = -2*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 2794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15031105302 + 3?\nAnswer: -15031105255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 11:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r**3 + 2*r**2 - 12. List the prime factors of n(4).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/69239366 and 89\/69239366.\nAnswer: 69239366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0118657733 rounded to 5 decimal places?\nAnswer: -0.01187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 4*r + 152, -236 = -5*j + 5*r - 3*r. What is the smallest common multiple of 3 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -25. Which is greater: -7\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 48707, 50 in decreasing order.\nAnswer: 48707, 50, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1*(-2)\/28)\/((-12393)\/374 + 33) and ((-2)\/432)\/((-24)\/416)?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 8:44 PM?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6715 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 21*c**2 + 20*c. Let p be i(-20). Put 5, 1, p in decreasing order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55*(234\/60 - (-2)\/4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*w**2 + 36*w**2 + 35*w**2 - 137*w**2 + 36*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 136 = f - 5*f, -3*x + 4*f = 174. Is x at least -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3706, 3, 152 in decreasing order.\nAnswer: 3706, 152, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 7) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2144763 divided by 1\nAnswer: 2144763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6014091971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 5\/2. Calculate the common denominator of 101\/10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3706 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 + 3*w**2 - 2*w - 4. Let i be b(-3). Let g be (1\/6 + (-7)\/6)*0. Let z be (9\/(-9))\/((-1 + g)\/3). Sort i, z, 5 in decreasing order.\nAnswer: 5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45506.22 millilitres to litres.\nAnswer: 45.50622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, m: 2, g: 4, z: 3, u: 1}. Give prob of picking 1 m, 1 z, and 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -17  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 + 23. Let z = 247.3536 - 320.342. Let l = z - d. Round l to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2375489*13\nAnswer: -30881357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104586 is divided by 769.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/5, -18690 in descending order.\nAnswer: 3, 1\/5, -18690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.4  (b) -3  (c) -34  (d) -30\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 6*u - 3. Let c be d(2). Calculate the greatest common divisor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -30804139 and -21.\nAnswer: -30804160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, -1082938, -3 in decreasing order.\nAnswer: 48, -3, -1082938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4704 and 69482?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 88392 and 0.426.\nAnswer: 37654.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -15*j - 15. Let h(l) = -7*l - 8. Let x(y) = 5*h(y) - 2*o(y). Differentiate x(c) with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 9:08 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 30*l**2 - 64*l - 68. Let v be i(-31). Calculate the highest common factor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, t: 2, n: 1, h: 1, z: 2}. Give prob of sequence ns.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4*p + 12 = 0, -729*g + 735*g = 5*p + 26. Which is the closest to 68?  (a) -4  (b) g  (c) 0.6  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.23, -2\/13, 4, 2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 482 divide 1272310336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.18 in -3, -5, 33419?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6321339669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -223*c**5 + 2*c**4 - 46*c + 6?\nAnswer: -4460*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -80*c + 18. What is the remainder when f(-3) is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5ba1 (base 12) to base 5.\nAnswer: -312340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-51)\/(-102))\/(15\/12))\/((-44)\/(-50))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -21. Let u be (x - 0)\/(1\/(-86)). Suppose -d = -u + 21. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (3 + 5 + -1*sqrt(13) - ((sqrt(13) - -1*(1 + sqrt(13))) + (sqrt(143)*-1)\/sqrt(11))))**2*-2.\nAnswer: -122 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b**(-3)\/b)\/b*b)**(-13\/2) assuming b is positive.\nAnswer: b**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -15. Suppose 4*u = n*u + 8. Suppose -4 = u*d - 3*p - p, 10 = 2*p. Let m(x) = -x**2 + 6*x - 4. Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 24468?\nAnswer: 48936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - 5*a**2 - 68*a**2)*(0*a + 3*a - a) + 13*a - 18*a**3 - 13*a.\nAnswer: -162*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16402 and 3058?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y - 5*x + 25, 10*y = 9*y + 2*x + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -c**2*h + 20*c**2 - c - 58243*h**2 + 857 wrt h?\nAnswer: -c**2 - 116486*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + r - 8, 4*r - 24 = -0*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13*o + 88 - 75*o - 47 wrt o?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1723*m - 2006 = 1605*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -322 + 365. Let n = -48 + v. Which is the second biggest value?  (a) n  (b) -0.2  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 2) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggttgtggatttttgtttt. What is prob of picking 2 t?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5.3272  (b) -1\/8  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 3:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 7*y**2 + 11*y - 8. Let o be (-50)\/(-30)*27\/15. Suppose -o*z - p = 6 + 3, -8 = 5*z + 4*p. Let v(q) = 2*q**2 + 4*q - 3. Determine z*u(g) + 11*v(g).\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2665172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 31289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/143 - -292\/429. Factor 0*q - 2\/3*q**4 + 0 + z*q**3 + 4\/3*q**2.\nAnswer: -2*q**2*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1076 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 10358 = f - 6584, l - 3 = 0. What are the prime factors of f?\nAnswer: 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3513026 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -8 in increasing order.\nAnswer: -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -413*m**6\/30 - 17*m**4\/12 + 13*m**2\/2 - 5*m - 6. What is the third derivative of s(v) wrt v?\nAnswer: -9912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3a682 - 53?\nAnswer: 3a62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + sqrt(63)*-6) - sqrt(63)*-1)**2*-3.\nAnswer: -9261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 157 = -71. Let p = q - -76. Solve -6*b - 12 - 18 = p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h. Suppose 5 + 2 = f. Let g(c) = 33 - 33 - f*c. Give w(g(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r + 1. Let j = 3 - 1. Let m(t) = 0 - 2*t - j*t + 6. Determine m(v) - 6*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1282 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 18*b**2 + b + 14. Let l be j(-6). Suppose l = -129*g + 133*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -10. Calculate the lowest common multiple of 1\/5 + (-117)\/(-15) and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4537\/4 + 1122. Let y = -1672989\/188504 - -2\/23563. Calculate the common denominator of y and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25148 divided by -1?\nAnswer: -25148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-85)\/(-175) - 4\/20. Let i = -3 - -1. Let k = 53 - 53.1. Which is the closest to k?  (a) 4  (b) h  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 - -2559.8627?\nAnswer: 2419.8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1816074 and 279396.\nAnswer: 3632148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.88204 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 342*c**2*r + 6*c**2*v**2 - 74*c**2*v - 835572*c*r*v**2 - 4*c*r*v - v wrt v?\nAnswer: 12*c**2 - 1671144*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 419086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*u + 404 = -19*u + 16*u - 276 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.5, 28.3 in decreasing order.\nAnswer: 28.3, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 0.1. Let l = -2.3 - -1.6. Let h = m - l. Put h, 3, -0.5 in ascending order.\nAnswer: -0.5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b + 0*b - b)*(0*b - 8*b - 4*b)*(1 + 3 - 1) in the form k*b**2 + i + n*b and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f**6 + 32*f**5 + 7*f**4 - 4234*f**2 wrt f.\nAnswer: -480*f**3 + 1920*f**2 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 818*t + m = 816*t + 3, -2*t = 5*m - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/28*8\/(4\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -376.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*c - 15052 = 2150*c - 302*c + 1720*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*z - 132*z - 2651 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 129 + -85. Suppose 6*g = 2*g + w. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -223 + 347. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -7*i + 11 + 8*i + 8*i + 7*i. What is the units digit of o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*j = -3. Let i be (-4)\/j - (-2)\/6. Let g(f) = -f**3 - 2*f**2 + 10*f + 10. Let p be g(-1). Are i and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 1:58 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 330\/14 - (-12)\/(-28)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 29. Suppose 3090 = k*o - 5*o. Determine i, given that 3090*i - 15*i**3 - o*i - 3*i**2 - 12*i**4 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hcggtxxgcgggzzgzg. Give prob of picking 1 g, 1 h, and 1 z.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 1:31 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/48*60\/(-45)*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 0.4, -2\/9, -0.033 in descending order.\nAnswer: 0.4, -0.033, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 10:33 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/6*(-1 - -1). Let a(p) be the second derivative of p**5\/60 + p**3\/6 - p**2 + 2*p. Let s(l) be the first derivative of a(l). Calculate s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 - -123. Let j(o) = 10*o**2 + 8*o + 6. Let m(f) = -19*f**2 - 15*f - 11. Let h(g) = -29*g - 1468. Let z be h(-51). Determine y*m(v) + z*j(v).\nAnswer: -4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11)\/((-44)\/(-8))*(8 + 2). Let p(l) = l**3 + 21*l**2 + 14*l + 26. What are the prime factors of p(o)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r**2 - 105*r - 31. Let t(i) = -i**2 + 21*i + 6. What is -2*l(j) - 11*t(j)?\nAnswer: j**2 - 21*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.703 rounded to 0 dps?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 176 + -167. Suppose p = 3*u, -6*u + 11 = 4*f - 5*u. Let m = -0.3 - 1.7. Is m not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 6:58 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -b + 20. Suppose -767 + 757 = -3*v + 5*t, -v = -5*t. Sort v, b, -3.\nAnswer: b, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 573232660 and 8905.\nAnswer: 8905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 50 = 4*h. What are the prime factors of (-2 + 1)*h\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g - 8*g + 106*g = -81. Which is the third biggest value?  (a) g  (b) 3  (c) -291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 + 7110*k - 4851828.\nAnswer: -2*(k - 2634)*(k - 921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82.17 + 1.17. Let b = -4.8513 - -85.8781. Let l = j + b. What is l rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8d95 (base 14) in base 12?\nAnswer: 12307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 3 + 0\/3. Let k be -3 + b - 2*-1. Let l(t) = t**3 - 7*t**2 - 7*t + 12. Let q be l(8). Solve -5*s + g + q = 0, k*g = 4 + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 13. Let l be (-85)\/68 + 58\/8. Let j(v) = 3*v + 12. Let q(a) = 6*a + 26. Let p(k) = l*q(k) - 13*j(k). Determine p(d(t)).\nAnswer: -3*t**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4561 divided by -122?\nAnswer: 4561\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1220264 is divided by 400.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3750424 to the power of 1\/2, to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -52, -35, -1, -4, 4, -128 in descending order.\nAnswer: 4, 1, -1, -4, -35, -52, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 + -227\/4. What is the nearest to 0 in o, -4, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -2. Let p = -16162 + 16158. Which is the closest to 1?  (a) p  (b) g  (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -15*o**2. Let i(z) = -659583*z**2. What is u(i(g))?\nAnswer: -6525746008335*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*((sqrt(13)*-1)**2 + 5) + 3.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*j - 41*j - 2*j as y + o*j and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/32*2)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 542657\/7 - 77394. Is 129 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 2:22 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2 + 47*t**3 - 6 - 45*t**3 - 8*t**5 + 2*t wrt t.\nAnswer: -160*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 5:15 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a - 3. Calculate r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 77*n - 35*n - 43*n + 1. Suppose -y = h + 4*h + 13, -4*y - h = -5. Calculate x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 18. Let d = b - -17. Let l(t) = 2*t**3 - 3*t**2 + 6. Let h(n) = 3*n**3 - 5*n**2 + 11. Give d*h(r) + 7*l(r).\nAnswer: 2*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2620827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 10*v**2. Let a(j) = 13*j - 2. Let u(x) = 288*x - 45. Let s(h) = 135*a(h) - 6*u(h). What is s(b(m))?\nAnswer: 270*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {t: 1, s: 1, f: 2, w: 1, l: 1, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/(9\/108*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -49 - (184 - 211).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 - b. Let p = -9 + 0. Let u = p + 7. Let m be d(u). Sort 2, m, 6.\nAnswer: m, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**5 + 382*s**4 - 8208*s**3 - 44200*s**2 - 20000*s = 0. Calculate s.\nAnswer: -4, -1\/2, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -15639*k**3 - k**2 - k - 2. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b - 2 + 4 + 0*b - 7. Let c be i(4). Suppose -c*t = -5*t - 88. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -22*l - 654. Calculate f(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/85, 0.7, -57, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3*2\/12)\/((-2)\/60). Suppose 5728 = r*t + 1333. Does 68 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 26\/3  (b) -1\/2  (c) -4  (d) 6  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.96 - 1. Which is the biggest value?  (a) n  (b) -0.5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 81235710 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2148, 2150, 2154, 2160, 2168, 2178, 2190?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - f**2. Let x(z) = 5*z**4 - 12*z**2 + 6*z**3 + 2*z**3 + 0*z**4 + 9*z**2 - 10*z. Let q(g) = -2*s(g) - x(g). Factor q(p).\nAnswer: -5*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 + 2*v - 4*v**2 - v**2 in the form i + t*v + s*v**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -7556 (base 11) to base 7\nAnswer: -41051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**4\/6 + 13*d**3\/6 + 87*d**2\/2 + 93*d. What is the tens digit of v(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -3*h + 15. Let n be t(5). Which is bigger: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18884 + 647. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -501, -584, -677, -786, -917, -1076, -1269?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**5\/5 + h**4\/6 + h**3\/3 - 3*h**2\/2 + 3*h + 14. Give s(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**8*z**(-6\/7)*z\/(z\/(z*z\/z**(1\/3)))*z**(1\/5) assuming z is positive.\nAnswer: z**(1051\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15*z**4 + 2*z**3 + 4*z**2 - 3403*z - 5652868 wrt z?\nAnswer: 60*z**3 + 6*z**2 + 8*z - 3403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/114 and 109\/66?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (5 - (0 - 2 - (41 + -51)) - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.61567274 to 2 dps.\nAnswer: -9.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -3*y + 69, 0 = -5*y + 72850*w - 72847*w + 99 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 69611 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-324)\/24*2*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84 rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(-15) + 1)*138\/(-161)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -14, -15, -18, -23, -30, -39, -50?\n\"Answer: -x**2 + 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/49 - ((-7035)\/147 - -19).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 4. Let u be z(6). Suppose -3*m + 54 + 42 = 0. Let i = m - 32. Sort i, -2, u.\nAnswer: -2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-216)\/(-270)*(-15)\/(-66) - (-2)\/110.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 0)*(2 - 0). Let j(u) = -u**3 - 34*u**2 - 1 - 36*u**2 + 71*u**2 - u. Let n(h) = h**3 - 2*h**2 + 2. What is y*j(m) - n(m)?\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 2:29 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by -245.\nAnswer: -11\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 9.565075 nanometers?\nAnswer: 0.000000000009565075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiikgiguuiu. Give prob of sequence uiki.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6 + ((-5)\/(-25)*-45 - (-56)\/6)*-201\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -227759?\nAnswer: 1\/227759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -14*m**3 - 4*m**2 - m + 38. Calculate k(3).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-808)\/(-13) + 10\/(-65). Let z = t - 44. What is the least common multiple of 20 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -6) + (-11 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4911e - -3?\nAnswer: 49121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1623)\/(-2164)*2\/(10\/45).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 1 = j, j + 3*a + 9 = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*(4 + sqrt(405)*5))**2*-5.\nAnswer: -7605750 - 270000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/69 + 136\/23 + -6. Factor 2\/3*s**3 + 2\/3*s + 4\/3*s**2 + u.\nAnswer: 2*s*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**2 - 1740*u - 151380 = 0. Calculate u.\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 135459723 to the nearest integer?\nAnswer: 11639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -2*o - 1. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2107 is divided by 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x - 8*x - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, i: 1, k: 1, a: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**4 - 4*j**4 - j**4)*(-39 - 38983*j - 43 - 26 - 43342*j + 108).\nAnswer: 164650*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 123 + 125. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36507188489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - h = 4*o - 28, -3*o = -4*h - 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 4, 1, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*2*sqrt(13)*-2.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of 11*d**7\/2 + d**3\/6 - 36*d**2 + 33*d. What is the second derivative of p(n) wrt n?\nAnswer: 4620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 0 + 0)*(2 - 2 - 2) + 1 + 0 + 0 + 3 - 2 - 2)*(0*p**3 + p**3 + p**3) as t*p**3 + h*p + k*p**2 + i and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 63768691 a multiple of 1611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, b: 2, o: 1}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*6\/4*12\/81*-9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 140331811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 7*i - i**2 - 3 - 8*i - 8*i. Let o(h) = -h - 12. Let d be o(-6). Is w(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/7  (b) 1\/5  (c) 0.148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 77*u - 231. What is the units digit of q(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 divided by -74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 43. Calculate the least common multiple of q and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (14 - ((-7 - -17) + (1 - 2)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4648755000 to the nearest 1000000.\nAnswer: 4649000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 246501597*y**3 - 23204604*y**2?\nAnswer: 1479009582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15692 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*g**2 - 4*g**3 - 38*g**2 + 10*g**2 + 10*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**4 + 20*y**3 + 148*y**2 + 480*y + 576 = 0. Calculate y.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 26 = -r + 2*r - 4*m, -16 = -8*m for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1039428658 + -4.9\nAnswer: -1039428662.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-9)\/j))**(-1\/19)\/((j\/(j*j*(j\/(j*j*(j\/(j*j\/(j\/(j*j**(23\/5)*j*j))))\/j*j*j))\/j*j*j))\/j**(-28)) assuming j is positive.\nAnswer: j**(-1993\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -27880530 rounded to the nearest 100000?\nAnswer: -27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148\/77 - 219\/154. Find c, given that -o*c**2 - 2 + 2*c = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**2 + 12 + 11*h**2 - 168*h - 4*h**2 + 2.\nAnswer: 3*h**2 - 168*h + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -20*v + 20. Suppose 48 = 3*d + 3*o, d + 5*o + 3 - 27 = 0. Let r = d - 13. Sort r, -3, 3, v in decreasing order.\nAnswer: v, 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 868*c**3 + 5*c**2 + 38*c?\nAnswer: 5208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t**3 + 1 + 9*t + 2*t**2 + 3*t**3 - 2 + t**3. Let d be r(6). Let v = -28 - d. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -h, -2*h + x - 5 = -20. Calculate the lowest common multiple of (10\/(-20))\/(2\/4)*-21 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 10f + 16d28?\nAnswer: 16e37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -66159*v + 330790. Give l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h - 52. Let f be g(-27). What is the greatest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -37, -26, -14, 13, 1, 0.4 in ascending order.\nAnswer: -37, -26, -14, -5, 0.4, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8701*i = -8737*i + 72 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 8*w**2 - 3*w - 19. Give q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3114 - 5?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1950.012?  (a) 0.5  (b) 1  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 48751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, p: 8}. What is prob of picking 1 x and 3 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, r: 2, q: 1, x: 2}. What is prob of sequence xtr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 989, 1962, 2935, 3908?\nAnswer: 4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -435 + 435. Let v(q) be the second derivative of 5*q - 1\/2*q**4 - 1\/15*q**6 - 4\/3*q**3 + h + 2\/5*q**5 + 4*q**2. What is g in v(g) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73083395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 PM and 6:18 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 241042 and 7?\nAnswer: 1687294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7*(-7)\/294*-125. Do -21 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.01 - 0.01. Let f = -6.22 + c. Let p = -2.38 + f. What is p rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*c = -30*c + 32. Let p be c\/3*12\/(-8). Suppose 7*m - p*m = 0. Solve -n + 5 = m, 2*f + n - 30 = -3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.9 + -15.899999356. What is h rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -106, -5, -3, -1, -4, -116 in descending order.\nAnswer: 2, -1, -3, -4, -5, -106, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 6. Let p(j) = 2*j**2 + 0*j**2 + j + 1 + j**3 + b*j**2. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 123 + -128. Suppose 0 = -4*c - 5*i - 8 - 9, 2*c = -5*i - 21. Let a(w) = -7 - 13*w + 8*w - w**c + 2. Calculate a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3759.\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26217\/5 - 5244. Which is the fourth smallest value?  (a) -17  (b) 0  (c) u  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -22*v**2 - 2*v + 1. Let n be c(1). Let u = n - -23. Solve u = 2*j - 1 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w**3 + 979 + 0*w**3 - 3558.\nAnswer: -2*w**3 - 2579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021363 to six dps.\nAnswer: 0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.31 - 55.71. Let r = 808 - 753. Let k = a + r. Round k to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 2 + (2 - (0 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -c - c**2 - 56*c**3 + 168*c**3 - 68*c**3 as j*c**3 + y + n*c**2 + d*c and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -0.043, 321, -0.3 in ascending order.\nAnswer: -2\/3, -0.3, -0.043, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -143\/27526  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 88162938 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.05422, -2\/11, 0.004?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*i + 111, -2*i - 197 = -4*h - 3*i. Suppose -5*q + 79 = l + 2*l, -q + h = 2*l. What is the remainder when 66 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + 0 + -1 - 2466\/(-137). Solve 5*f + i = 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4)*(-4698)\/405 - 7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p - 3. Let m(l) = -l - 3. Let b(v) = -k(v) + 9*m(v). Let s be b(-8). Solve -15*t + 11*t = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 8:01 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -5\/6*j**6 - 9 + 0*j - 2\/3*j**3 + 0*j**2 + 0*j**4 + 0*j**5. What is the third derivative of s(g) wrt g?\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3*d - 16. Let x be c(-6). Find the third derivative of 138*f**3 - 62*f**3 + 95*f**3 - 2*f**x - 12 wrt f.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(6\/11))**(-3\/4)\/(u*u**(-3))**(-4\/19))**(-31) assuming u is positive.\nAnswer: u**(10757\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-28*y**2 - 15 + 57*y**2 - 31*y**2)*(-3 + 3 - y) to the form z*y**3 + h + a*y + x*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -78c - c9a6?\nAnswer: -d132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19982, -39902, -59822, -79742, -99662, -119582?\nAnswer: -139502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*g = 803 + 429. Let i be (-11)\/(g\/(-20)) + -2. Factor -2\/9 - 1\/3*d**i + 1\/9*d**4 + 1\/9*d**2 + 1\/3*d.\nAnswer: (d - 2)*(d - 1)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -675106 divided by 2.\nAnswer: -337553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - -3 - (-18 - (-25 - 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 105933 = -o, -296*o + 298*o - 26471 = -a. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 0, 5, 0.3, -3, 207\/136?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15751.\nAnswer: 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -5*g**4\/12 + 3*g**2\/2 + 4*g. Let m(j) = 110*j**2 - 65. Let w(c) = 6*m(c) + 130*x(c). Let h(t) = -3*t. Give h(w(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**4\/7 + 179*j**3\/7 + 1125*j**2\/7 - 2783*j\/7 + 1480\/7 = 0. What is j?\nAnswer: -8, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 5*i**2 + 5*i + 3. Let h be d(-4). Let s(y) = -3*y + 2*y**2 + 5600001*y**3 + 6*y + 1 - y. Let q be s(h). Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22914, 90442, 202970, 360504, 563050, 810614, 1103202, 1440820?\nAnswer: 1823474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.059, -2\/101, 3, 0.5 in increasing order.\nAnswer: -2\/101, 0.059, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51\/26528 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168 - 4637*m + 168 - 1487*m.\nAnswer: -6124*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, f: 3, j: 2, x: 1, w: 2, s: 2}. Give prob of picking 2 w, 1 j, and 1 y.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134253\/53080 - 72\/1327. What is the common denominator of -71\/35 and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, h: 2, y: 6, m: 4, c: 2, f: 1}. Give prob of picking 2 n and 1 f.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w\/(w*w*w**(3\/14)\/w*w)*w*(w*w\/(w\/w**8))\/w*(((w*w**(-6)\/w*w)\/w)\/w)\/(w\/(w*w**2)) assuming w is positive.\nAnswer: w**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 9*h - 12. Suppose 0 = h*l + 2*f - 18 - 4, 3*l + f = 15. Suppose 3*t - 46 = -2*p, 0*p + 4*t = -3*p + 68. Solve -l*z + p = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z - 5*z + 5*z - z + 2*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 59 = -4. Let j = w + -15. What is the smallest value in 0, -0.4, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -235*f**4 - 168?\nAnswer: -940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22929710.\nAnswer: 2, 5, 701, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of 1\/120*y**6 + 1\/168*y**8 - 1\/12*y**3 + 12*y**2 - 1\/15*y**5 + 3\/140*y**7 - 1\/8*y**4 + 0 + 0*y. Factor f(t).\nAnswer: (t - 1)*(t + 1)**3*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6015 is divided by 490?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4511 (base 8) to base 2.\nAnswer: 100101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**3 + 44*d**2 - 2*d + 22. Suppose 7*q + 139 = -15. Let c be x(q). What is the highest common factor of c and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/243 and -77\/30.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3974594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 410961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 - (70 + -52) - 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28289?\nAnswer: 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w + 1206*w**2 - 3*w - 560*w**2 - 885*w**2 in the form p*w**2 + q*w + g and give p.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 9276734*p**2. Let i(o) = 3*o**2. Calculate i(c(h)).\nAnswer: 258173381120268*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**3 - 2 + 2 + 4*b**3 + 3*b**3 + 12*b**3 + (2 - 2 - b)*(-4*b**2 + b**2 + b**2) - b**3 + 0*b**3 + 3*b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1467, -2, 2 in decreasing order.\nAnswer: 1467, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-13)\/(-52))\/(3\/36). Suppose w*f = -4*k - 2768006, 5*f - 1882284 = 2*k - 498294. What is k rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35770040 (base 8) in base 9?\nAnswer: 15710217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuguuuguuuuuuuu. Give prob of sequence gug.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ksk when three letters picked without replacement from sssjkjskssksssskkk.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2607416 + 4.\nAnswer: 3.7392584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 19324 and 19324 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 2) + (36 - 124) + 74 + -76 + 0\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*r = 3*t + 3, -2*r + 10 = t. Let q = -9 - -11. Sort t, q, -0.3 in descending order.\nAnswer: t, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.1 - -316820643.4.\nAnswer: 316820655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -135, -154, -185, -228, -283, -350?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24393 - 11993. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of m**3 - 87*m**2 + 2154. What is s in v(s) = 0?\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-6))\/(1\/12). Suppose 4*j - t + 8 = b*t, -3*j = 5*t - 29. Suppose 0 = -4*q + j + 13. Solve 0 = -q*a - 12, -2*s - 23 + 6 = 5*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-4) - (-2823)\/6. Let u be ((-87)\/58 + (-2)\/24*38)*(-270)\/126. What is the highest common divisor of u and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1230*k + 1229*k - 2*n = 7, 4*n + 17 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101 + 1001111011000010011001?\nAnswer: 1001111011000010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2145 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -116\/36669 or 1?\nAnswer: -116\/36669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - 35\/(-28) - 2\/24. Which is the closest to -5\/3?  (a) 2\/5  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 852*g**2 + 27*g + 29. Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/10 and (-806)\/240 + (-28)\/(-70).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017592406 to six dps.\nAnswer: -0.001759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 478 + 434 - 912. Let j(q) = 88*q + 2. Determine j(k(b)).\nAnswer: 88*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91531.12 years to months.\nAnswer: 1098373.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 8*u**2 + 2*u - 13. Let t be l(8). Suppose -2 = -t*j + 2*b - 5, j = -4*b + 13. Do j and 9\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15255, 3, -5, 5.\nAnswer: -5, 3, 5, 15255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -3\/4, 2\/13 in descending order.\nAnswer: 17, 2\/13, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -7\/3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 776950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 g when three letters picked without replacement from {j: 3, n: 1, l: 8, e: 6, g: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 1 + 0)*(3*d - 4*d - 3*d) - 270 + 270 + 152*d)*(3*d - 2 + 2*d + 0*d).\nAnswer: 800*d**2 - 320*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 4. Suppose -5*f - a = -13. Solve 5*n - f = -i - 15, n - 10 = 4*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by (-9)\/(189\/6) + 116\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 10932 = t - 4*t, -2*t - 6 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 3. Let d be (-16)\/(2\/(-2))*r. Let c = -90 + d. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/68 and -3\/1756.\nAnswer: 29852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-197*r + 197*r - 9*r**2)*(-14*r + 336 + 5*r - 345).\nAnswer: 81*r**3 + 81*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107503 is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 246\/(-205)*(-30)\/54?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -h**4\/2 - 5*h**3 + 12*h**2 = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(-2*l - l + l) + 3 + l + 0*l - 2.\nAnswer: 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64 + 109. Suppose 10 = 4*n + n. Suppose n*k - 3 = 5. Solve -k*g + 5*b = g + x, 2*b - 22 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 5:36 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -36, 6, 74, 174, 312, 494, 726?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(((k\/((k*k**(-4\/3))\/k))\/k)\/k)))\/(k*k\/k**19*k))\/((k\/(k*k**(1\/30)))\/k**(-17)) assuming k is positive.\nAnswer: k**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*m - 2*m + 2 = 0, -4 = -4*m. Suppose 3*d = -o*d + 940. Suppose -4*b = -2*b - d. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of q*r*y**5 + 10*q*r*y + 2*q*y**2 + 2*r*y**2 + 179*y**5 + 1 wrt y?\nAnswer: 60*q*r*y**2 + 10740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5380 + -21445\/4. Calculate the common denominator of -29\/449 and a.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 11*s**2 - 13*s - 9. Let v be g(-12). Solve -v*p + p = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 93 - -115. Suppose -5*t - k = -738. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 a when four letters picked without replacement from gjgjjgjjajajjjga.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.498 + 1.502. Let x be 0*(1 - (3 - 1)). Suppose -15 - 5 = 5*o. Put x, k, o in decreasing order.\nAnswer: k, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - x + 1. What is the remainder when -20 + 60 + 1*(-9)\/3 is divided by t(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -229*p**3 + 5*p + 8. Suppose -2*v = v - 12, 0 = -4*h + v - 16. Let a be f(h). Let y = a + -146. What is y rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6958 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 5*k**2 + 30*k + 106. Let j = 690 - 694. Let i be r(j). Solve 0 = i*m - 2 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 + 4*m - 1. Suppose 0 = -4*k - 14 - 18. Let z(w) = w**2 + 6*w - 2. What is the remainder when z(k) is divided by s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.1471898 hours to weeks.\nAnswer: 0.096114225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -13, 4, 41, 104?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 933925 * 0.3\nAnswer: 280177.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*i - 4. Let q(f) = 5*f**3 - 4*f**2 + f + 7. Let g(y) = 9*y**3 - 7*y**2 + 2*y + 13. Let v(z) = -4*g(z) + 7*q(z). Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 7:56 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*h + 2 + 2065*h**4 - 4178*h**4 + 2114*h**4 + 2*h**2 + 10*h**3 in the form o + c*h + g*h**4 + a*h**3 + s*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4864 or -9729\/2?\nAnswer: -4864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100111100010 + 10?\nAnswer: 1100111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1685, 28, 2 in descending order.\nAnswer: 1685, 28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4775.2 + 4395. Let i = -379 - q. Is i greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000125272 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -1, -50, 0 in descending order.\nAnswer: 2, 0, -1, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44100933*l*s**2 - 3*l*s - 4*l + 419067 wrt s?\nAnswer: 88201866*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 89 - 3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57148397807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o - 7. Let h(k) = 2*k - 6. Let y(b) = 6*d(b) - 7*h(b). Let m(r) be the second derivative of -103*r - 79*r + 249*r + 4*r**3. What is m(y(n))?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + 10*z**2 - 4*z - 10. Let n be t(-10). Suppose 12 = 3*v - n. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 156.6 and 328?\nAnswer: 51364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/((-18 + -10)\/(-4)). Factor -8\/7 + 2*x - 2\/7*x**3 - z*x**2.\nAnswer: -2*(x - 1)**2*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of 0*c**3 + 0 + 44*c + 0*c**2 + 3\/4*c**4. Let b(h) = h**2. Give b(y(n)).\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = r + 3*r - 205, -2*d + 54 = -4*r. Let p be 1 + (-417)\/(-12) + 1. Let k = d - p. Is -2\/159 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 4*p**2 + 12*p + 21. Is 30 a factor of m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 4. Let v(y) = y**3 - 4*y + 3. Suppose 6 = 4*m - 2*m. Let n(q) = q - 1. Let w(s) = k*v(s) + m*n(s). Find the second derivative of w(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p**5 - 450459*p**4 + 7*p**2 - 48*p - 28?\nAnswer: 120*p**2 - 10811016*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 13322132 (base 4) to base 3\nAnswer: 1122110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2028*a - 30531. Give t(-15).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 56*n + 108. Calculate the remainder when f(-55) is divided by 14*(-2 - 0 - -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 10*c**2 - 12*c. Suppose -2*z - 7 = 17. Let r(f) = -f - 6 + 0*f**2 + 6 + f**2. Let g(i) = z*r(i) + m(i). Let w(l) = -l**2. What is w(g(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1339516 divided by -2\nAnswer: 669758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 2. Suppose -1 = 3*d - r - 7, 2*d = -2*r - 4. Let s be 3 + -4 + 0 + d. Solve -4*w = b - 0 - v, s = -2*w - b + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1442448 and 307930.\nAnswer: 598615920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2  (b) 1  (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from zjpop?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -5\/2*g**2 + 0*g - 3. Let a(i) = i - 1. Let y(k) = 6*k - 5. Let q(o) = -5*a(o) + y(o). What is q(l(r))?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 128191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2)*o*o**2*o)\/(o\/o**(2\/7)*o)**(-42))**38 assuming o is positive.\nAnswer: o**2812","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.37?  (a) -20\/117  (b) 9  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w + x + 4 = 4*w, 3*w + 5*x - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2.4  (b) 262  (c) 0.3  (d) -0.4  (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 3*b - 3*m = 0, -b + 5*m = 0. Suppose b = 3*o - c - 7, 5*c - c = -3*o + 32. Is 4 a factor of (-52)\/(-14) - o\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 1. Let t(l) = l - 21. Let r(b) = 18*c(b) + 2*t(b). Let f be r(13). Suppose f*u = u + 4. Solve -2*j = -5*j - u*p + 14, 5 = 5*j + 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001110 + -10?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1092 and 19508034?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((-6)\/(-5) - 1). Suppose 31 = 2*l - u*z, -l + 2*z + 28 = -3*z. Solve 4*s + l*h + 11 + 0 = 0, -h + 7 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d**2 + 8*d + 5*d**2 + 0*d + d to l*d + y*d**2 + x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 194025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 6 - 2)*(-765*l - 74889 + 74889)*(-3*l**3 + 2 - 2).\nAnswer: 11475*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21322.\nAnswer: 2, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**2 - 5*b**2 - 2*b**2 + 32*b.\nAnswer: -2*b**2 + 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - -3 - (2 - (-2)\/(-2)). Suppose 7*b - 120 = s*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/4125 and -32\/375?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/4 - 12463*k**3 + 154501633*k**2 + 20557369536*k + 680189469696.\nAnswer: (k - 24992)**2*(k + 66)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - 16b?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**4 + 71*v**3 - 9692*v**2 - 145140*v - 421200 = 0 for v.\nAnswer: -135, -10, -4, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/8  (b) 1\/5  (c) 7  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*b + 38 + 6 = 0, 52 = 2*v + 2*b. Let p = v - 3. What is the lowest common multiple of p and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + ((10 - -1) + -19 + 12 - 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 10*v**2 + 8*v + 3. Let z be r(-9). Suppose -7 = u - z. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -3*v - 3. Which is smaller: v or 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124 = 5*u - 36*u. Let z be -14 + (0 - -2) + 0. Let t be (-789)\/z + (-1)\/u. Calculate the highest common factor of 165 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -117 + 183. Suppose j - 3*j = -5*t + g, -2*j + 18 = t. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**2 - 146*i + 151. Let d be g(-74). Let s(t) = t + 12. Give s(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 15*a - 20*a - 1668, -7*y + 3*a = -5780. Calculate the highest common divisor of y and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1057*y - 1105*y + 576 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 111110?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (341 - 339)\/(32\/(-1)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -134 + 144. Let z(c) = -c**3 + 11*c**2 - 12*c + 19. Determine z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 + 5*l + 1369. Let f(a) = 2*a. Give f(y(z)).\nAnswer: 4*z**2 + 10*z + 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 7. Let o = 7 + z. Let x = o + -6. Which is the nearest to -0.1?  (a) -1  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 21*i + 146. Calculate the remainder when 178 is divided by j(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 14*s**2 - 7*s - 3.\nAnswer: -14*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d + 1 = 0. Suppose 15 = -m + d. Let l be (12\/21)\/((-20)\/m). Is l at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163233089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.5  (b) 164  (c) 4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(3\/2)*c*c)\/c*c\/c**7*c*(c*(c*c**9)\/c)\/(c\/(c**(-5\/2)*c)))**(22\/9))**(29\/5) assuming c is positive.\nAnswer: c**(1276\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 6:55 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 11038*o + 2991298. Determine g(-271).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*1*sqrt(170)*1)\/(1*sqrt(810) - sqrt(490)*-2).\nAnswer: 5*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of -u**5\/60 + 3*u**4\/8 - 7*u**3\/6 - 81*u**2 - 10*u. What is c(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 88147.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -10*v**5 - 3725*v**4 - 12960*v**3 - 16630*v**2 - 9230*v - 1845 = 0.\nAnswer: -369, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64148158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 453287 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(-1188)\/(-270) + 33.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 3*o**2 - 4*o - 3. Suppose -3*b = -0*b - 9. Let h(j) = -j**3 - 2*j**2 + 3*j + 2. Give b*h(g) + 2*w(g).\nAnswer: -g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/10 and -35\/2182?\nAnswer: 10910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 7, n: 2, d: 4, e: 2, c: 3}. What is prob of sequence wed?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79489081 is divided by 1486?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14060\/90 + 0 + (-4)\/18. Suppose 4*l - g = -3*v + 1577, -l - 2336 = -4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/4 + 3\/(-84)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-15)\/50*60\/(-36). Solve 3*d + t*d = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**3*j)**(-1\/5)\/(j*(j\/((j**(-1\/12)\/j)\/j))\/j*j**(-4)))**12 assuming j is positive.\nAnswer: j**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3*i + 1916 = 0, 4*z + 3*i = 3039 + 4580. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b3 (base 12) to base 5\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 22. Let o be 1 + (-42)\/(6\/2). Let y = q + o. Solve -y*h + 3*p = 20, -4*p + 7 = -h - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 1, -16, -15, 10, 65, 156, 289?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 593.7052 decades?\nAnswer: 5.937052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78 divided by 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, n: 1, y: 1, e: 2, p: 1, k: 1}. What is prob of sequence eezn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5824 and 68796?\nAnswer: 1100736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 8) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -103, 0, -3 in decreasing order.\nAnswer: 0, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15.30263 + 16.1354. What is r rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = z - 10. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 7515*r - 59928.\nAnswer: -3*(r - 2497)*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -8*q**3 - 13*q**2 + 13*q + 9. Let m(l) = 3*l**2 + 3 + 0*l**2 + 10651*l + l**3 - 5 + l**3 - 10654*l. Calculate 26*m(t) + 6*o(t).\nAnswer: 4*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2358 + 2334. Let n = 27.53 - 0.53. Let p = n + d. Which is the nearest to 0.1?  (a) 1\/3  (b) p  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2052140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 7:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 - 4 + 5)*(0 - 2*p + 0)*((-13 - 1 + 0)*(0 + 4 - 3) + 5 + 3 - 4) as q*p + k and give q.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -3*o**2 - 61. Let q(w) = -5*w**2 - 120. Give -11*d(r) + 6*q(r).\nAnswer: 3*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s - 1. Suppose d + v = -4, 0 - 7 = -5*d + 4*v. What is j(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10514750 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35513 + 37675 = 46*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -157052203 + 5?\nAnswer: -157052187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1743 is divided by 938.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 2:30 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.18*-215.5\nAnswer: 38.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -5*p + 3. Let h(z) = z - 1. Let d be (1\/(-3))\/((-11)\/99). Give d*h(s) + l(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/7 + 57*w**4\/7 - 433*w**3\/7 + 951*w**2\/7 - 576*w\/7 = 0. What is w?\nAnswer: -64, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**3 + 1389*d**2 + 153*d - 16448574.\nAnswer: -3*d**2 + 2778*d + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20022547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 + -0.25. Let q be (-2)\/(2 + 0\/2). What is the nearest to 0 in q, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1955 - 1405*o + 980 + 975 + 1397*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 19. Give l(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 163*i - 4*u, -2*u + 40 + 40 = -5*i + 90 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**2 + w - 1. Suppose -5*z + 4*o = -133, -z = 2*o - 6 - 15. Let k = 24 - z. Let s be g(k). Put s, 5, -1 in decreasing order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/172979 and -65\/12657.\nAnswer: 518937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -11, -397, -15, 46, 1 in descending order.\nAnswer: 46, 1, -2, -11, -15, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - 11 - (-3 - -1)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-1 + (14 - 10)) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -8*l**3 + 34*l**2 - 3*l - 9. Let y be m(4). Let i(f) = f**3 - 11*f**2 + 4*f - 51. Calculate i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233754 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -23*p**6\/30 - 7*p**2\/2 + 14*p. What is the first derivative of w(g) wrt g?\nAnswer: -92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3*v - 208 = -0*i, -2*i + 4*v + 236 = 0. Let t = i - 65. Let l = 111 - t. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 25*f**2 - 7*f + 49. Let n = -8 + -18. Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 150, 314, 478, 642, 806, 970?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + v - 4. Let b be p(3). Let s(j) = -j**3 + 0*j**3 - b*j**2 - 3 - 9*j + 0. List the prime factors of s(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**5*n**(1\/2)\/n)**(-4\/5)\/(n**(-1)\/(n\/(n*n\/n**(-4)))*(n\/n**0)**(-34)) assuming n is positive.\nAnswer: n**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -336.9677 + 337. Let d = m + -0.03. Round d to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1513766 divided by 6?\nAnswer: -756883\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 11:49 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 + 2)*(-3*b**3 - b**4 + 3*b**3)*(3*b - 3 + 3).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 102390 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38514051?\nAnswer: 3, 433, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - 5*k**2 + 5*k**2)*(-2*k - 2*k + 5*k) - 3*k**3 + 5*k**2 - 5*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q + 1. Suppose -3*c + 281 = 4*m, -93*m = -3*c - 98*m + 289. What is the remainder when c is divided by k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*g**5 + 140*g.\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.049053ml to litres.\nAnswer: 0.000049053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -5*f + 8288, 0 = -5*f + 2*x + 11463 - 3184. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, d: 1, j: 11}. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -528, -1501, -3108, -5349, -8224, -11733?\nAnswer: -15876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 84 divided by -1\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 - 28*x - 33 - 12.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 21 = p. Let z = -21 + p. Solve 8 = -4*y - 2*o, z = 2*y - 2*o - 0*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.009000156 - -0.009. What is b rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.22343 and -1.\nAnswer: 0.22343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 426 divided by 71\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.191096057 rounded to five dps?\nAnswer: 0.1911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*d + 8313 = 10880 + 7883 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -2*j + 2. Let a be 2\/6*(j + 17). Solve -a*h - 3 - 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/x**(-1\/3)*x)**40*(x\/(x*x**0))**16)**(-31) assuming x is positive.\nAnswer: x**(-16120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Express -9*d + 5*d**2 + 86*d**3 - 39*d**3 - 45*d**3 + 2 as a*d**3 + g*d + r*d**2 + n and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -1, 2, 390 in descending order.\nAnswer: 390, 12, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - -12. Let w(l) = l**2 + 1 - 2 + 0 - 2*l. List the prime factors of w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -214 (base 11) in base 6?\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -3*a**2 + 7*a + 8. Let o be h(7). Let v be (-64)\/o - 3\/5. Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 819183224 and 1168?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 - 2 + 2 + 2*m**3 - m**5 - 2*m**3 + (-2*m**3 + 0*m + 0*m)*(0*m + m**2 + 0*m) + 129*m**5 - 97*m**5 + 134*m**5 + m**2 - m**2 + 2*m**5.\nAnswer: 163*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3289, -6606, -9929, -13258, -16593, -19934?\n\"Answer: -3*g**2 - 3308*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*t + 20*t + 2549 = 8565 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (9 - 43)) + -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (116\/1653*19)\/(9\/108)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*l*q**4 - 2*l*q**3 + 3*l*q**2 + 743*l*q + 3*l - 6*q**4 + 2*q**3 wrt q?\nAnswer: -600*l*q - 12*l - 144*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -3, 0.03.\nAnswer: -3, 0.03, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 274*m - 18*m**4 - 7*m**4 - 587 + 587 wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -701 + 726. Suppose -22*f = -j*f + 297. What is the remainder when 202 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/((-1504)\/(-94)))\/(1\/46*10\/(-5))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (174\/24 - 8)*2\/3. Which is the closest to 0?  (a) j  (b) 1\/6  (c) -1  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 118 = -3*y, 36*l = 6*y + 38*l - 57 + 106 + 151 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15000*r**3 - 160837*r + 160837*r.\nAnswer: -15000*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38388 (base 11) to base 14.\nAnswer: -160aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6508225 to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23733096 + 23733169.0000992. Let v = -73 + l. Round v to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z = -5*v - 33, 2238*z - 2243*z = -3*v - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*((x*x\/(x\/(x*x\/x**5*x)))\/x)\/x*x)\/x)\/x)\/(x*x**15*x))**(-42) assuming x is positive.\nAnswer: x**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31*v**3 + 6 - 14 - 27*v**3 - 59 with respect to v.\nAnswer: -174*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 125, 232, 323, 392, 433, 440?\n\"Answer: -k**3 - 2*k**2 + 120*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, u: 2, t: 8, r: 1}. Give prob of picking 1 y and 2 t.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/22 + (-6)\/(-9)*(-696)\/(-11). Solve -m = -4150*r + 4143*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -141 divided by -170488?\nAnswer: 141\/170488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.9 + -1.3. Let w = 2.4 + f. Let o = -3 - w. Which is the third biggest value?  (a) 2  (b) -0.07  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cckciccbickk. Give prob of sequence bic.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven fifths of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -110571.3339 to the nearest integer.\nAnswer: -110571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100793?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 590, 5212, 17886, 42638, 83494, 144480, 229622?\nAnswer: 342946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1284 - -6478\/5. Find the common denominator of 28\/151 and g.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Let m = -89 + 93. What is the first derivative of 6 - d**h - 3*d**2 - d**2 + m*d**2 wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -8 + 12\/3 - -4. Solve 3*f + 5*v = -15, -2*f - 3*f + 5*v + 15 = b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 3)*(-14*c + 10*c - 27*c + (3 - c - 3)*(-6 + 3 + 2) + 2 + 2*c - 2) + (0 + 2 - 3 + (3 - 5 + 1)*(5 - 3 + 0) - 1 - 1 + 3)*(81*c - 178*c + 156*c).\nAnswer: -174*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 197 in descending order.\nAnswer: 197, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0*q. Suppose -3*a - 2*a + 25 = q, -365 = -5*h + 4*a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 2161, -698 in decreasing order.\nAnswer: 2161, 5, -1, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011 (base 2) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 10:02 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16382, -15843, -15306, -14771?\nAnswer: -14238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2828+0.137\nAnswer: -2827.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - 3*b. Let d(s) = -2*s**2 - 2*s. Let p(c) = -c + 7. Let a be p(8). Let j be ((-2)\/a)\/(7\/(-14)). What is j*d(x) + 3*o(x)?\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 10:21 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.3, 1, -40\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -65990*h + 30. Let b be y(-3). What is b rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -217734*m - 1035931 wrt m?\nAnswer: -217734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 3*g + 2. Let f be s(4). Suppose f = 2*j + 46. Let a be 80*(35\/j + 1). Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kymfk. What is prob of picking 1 f and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -8*w - 70. Calculate v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 100\/35*13027\/1619070\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -9)*(-60)\/(-9). Suppose 120 - 3 = 3*t. Suppose -2*s = -3*j + t, 5*j = -0*j - 5*s + 90. Calculate the highest common divisor of j and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**2 + 1392*w - 162*w - 318*w in the form g + o*w + z*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**5\/120 + 13*a**4\/12 + a**3\/3 - a. Let o(y) be the second derivative of j(y). Is o(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4. Calculate the lowest common multiple of w and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 8:14 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*j = -307, 3*j = 3*l - 33 - 282. What are the prime factors of l?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2770633\/8919930 - 4\/46947. What is the common denominator of 41\/1000 and v?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36800 = 21*p + 3767. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + 1 - -1) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9180 and 12665?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -101011010100001111101 (base 2) in base 5?\nAnswer: -330410024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -4*j, 2*t - 6*t - 2*j = -12. Let s be 5 + t\/2 + -2. Solve 2*i = s*w + 14, 2*w + 8 = i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + v**2 - v + 18. Let z be h(0). Let q = z - 15. Suppose -7 - q = -2*a. Which is smaller: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1249.846 - -1251. Let y = u - 1.28. Let z = -3.874 + y. Put 0.3, z, -5 in descending order.\nAnswer: 0.3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104*(-4)\/32 - 34\/(34\/(-61))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -224\/7859 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (53*m - 1173 + 1173)*(2*m**2 + 1169*m**3 + 1129*m**3 - 2330*m**3) as o*m**2 + b + f*m + j*m**3 + s*m**4 and give s.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 7 = 5*r, -4*z = 2*r - 7 + 5. What is the tens digit of -89*r*((-20)\/12 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*6\/3 + -2. Is (-3 - s)\/(1\/23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (40\/6)\/10 + 12787\/57. What is the highest common divisor of 3975 and f?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9578 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 140.549?\nAnswer: 135.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -r - 2, -2*w + 0 = -3*r - 8. Let g be 2\/((2 + r)\/(-44)). What is the third derivative of -44*o + 5*o**4 + g*o - 4*o**2 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:41 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -8. Suppose -5*f + f = -3*c + 27, -4*c = t*f - 11. Let s = 4 + -4.5. What is the biggest value in 0.1, s, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2120 + 0?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5.88333 months?\nAnswer: 0.4902775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 7*w**2. Let i(z) be the first derivative of -z**3 - 21. What is q(i(x))?\nAnswer: 63*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15161633951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26605076 (base 8) to base 9.\nAnswer: -12203321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 9540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31475*a**3*d**5 - 1422*a**3*d + 14117*a**2*d**2 - 5*a**2 - 213*a*d - 27 wrt d.\nAnswer: -629500*a**3*d**3 + 28234*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 856, 1643, 2430, 3217?\nAnswer: 4004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 5*r + 70 = 0, -66 + 24 = 2*g + 5*r. Let o = -14 - g. Let w be 6\/4*(-2 + 0). Which is the nearest to 0.1?  (a) o  (b) w  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of f**6\/3 - 131*f**3\/3 + 379*f**2\/2 + 812. What is the second derivative of q(w) wrt w?\nAnswer: 40*w**3 - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2\/23 + 57368*p + 11875338\/23 = 0. Calculate p.\nAnswer: -9, 659741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 84166567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/5))**2*j**(2\/7)*j*j\/j**0)**(-34) assuming j is positive.\nAnswer: j**(-3672\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3961636 and -0.3?\nAnswer: 3961636.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.4, -2777, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 61\/4, -2, 5, 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.02 >= 2\/1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58140660.\nAnswer: 2, 3, 5, 969011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + 40. Suppose 3*v = k + 4. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -25*s + 223. Let z be u(-2). What is the highest common divisor of z and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8022 is divided by 148.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + sqrt(171))**2 + -3.\nAnswer: -175 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6573.\nAnswer: 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 482 and 7?\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3698069 and 3.\nAnswer: 3698072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 4\/3  (b) -1161  (c) -5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 8*c**2 - 12*c - 33. Let p be k(-7). Solve 0 = p*g, 4*g = -3*i - 0 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 10*p**2 - p + 2. Let m be g(3). Let v = m - 44. Suppose 0 = 3*n - v - 63. Solve 0 = 4*l + 5*j + n, -2*j - 3*j - 12 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 48*i**2 - 639*i - 232. What is u(-19)?\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 119 + (-15 - -1 - (13 + -41 + (10 - -4))).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*w + 608 + 697 = 0, 0 = v - 2*w - 444. Calculate the remainder when v is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 4*z = 0. Suppose z = -s + 3*s - 6. What is the lowest common multiple of 3 - (-42 - -3)\/s and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -222011*k - 5. Give t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5 + 811*y**2 + y - 5*y - 808*y**2 + y**3. Let m = -14 - -10. Give i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 1:13 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5548 and 876.\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -11*k**4\/4 - 37*k**3\/2 - 27*k**2. Differentiate b(f) with respect to f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) -2\/565  (c) -0.03  (d) 0.2  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1820 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 2\/123323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 156007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2431 (base 5) to base 10.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(240)*2 + sqrt(240)) + sqrt(240) + (sqrt(240) + -1*sqrt(240) + sqrt(240))*2)\/((sqrt(36)\/sqrt(4)*-3 - sqrt(9))\/(sqrt(297)\/sqrt(11))))**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 18*h**2 + 71*h - 763. Calculate a(10).\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -36042592 divided by 621424\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 6 + 131*m - 5 - 45*m - 48*m - 36*m. Let j(r) = -2*r - 1. Suppose 4*l = 5*l. Suppose l*t - 3*k = -3*t + 6, -4 = -4*k. Give t*p(y) + 2*j(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1861.01977 - -1861. What is l rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, j: 1, t: 1, q: 2, b: 1}. What is prob of sequence jq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**3 - 1285*r**2 + 66627*r - 188343 = 0.\nAnswer: 3, 51, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49175519881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-10))\/(((-1)\/(-6))\/(30\/(-9)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16.08 + -1.68. Let p = u - 15. Let d = p + 1.1. Which is the nearest to 0?  (a) d  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of t**5\/20 - t**4\/6 - t**3\/3 - t**2 + 4*t. Suppose -5*r + 18 = 2*i, 4*i + 0*r - 22 = -3*r. Is u(i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 14 + 0 = 0. Let x(l) = -3*l + 37. Let a(q) = q - 18. Let d(u) = -5*a(u) - 2*x(u). List the prime factors of d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 658 - 658 - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 418*b**4 - 132632*b**3 + 548862*b**2 + 681912*b = 0.\nAnswer: -1, 0, 99\/19, 3444\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-3*5\/390*-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 21*z**2 - 15*z**2 - 8*z**2. Suppose 2*r + 1 = 13. Let p(u) = -r*u**2 + 2*u**2 - u**2. Give c(p(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 699312.1 tonnes in grams?\nAnswer: 699312100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 7*d**2 + 9*d + 3. Let h be j(5). Let l(s) = -3 - 5*s + 0*s + 2*s. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282640*q**3 + 141365*q**3 + 141263*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**2 - 3*a**2 + 2*a**2 + (-2 + 2*a + 2)*(1 - a - 1) - a**2 - 2*a**2 + 2*a**2 - 424 - 27 + a**2 - 67.\nAnswer: -a**2 - 518","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3968 - 3964. Which is the nearest to 7?  (a) 2\/9  (b) 0.3  (c) o  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172342 is divided by 57402?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uxmsuxsmuuumm. Give prob of picking 1 s, 1 m, 1 u, and 1 x.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.077 + -0.277. What is the nearest to -0.3 in 2, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327543649 is divided by 175.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-5)\/l**(-9))\/((l*l\/((l*l\/(l*l**(-2\/3)))\/l*l*l))\/(l*l\/(l*l**(-13)*l*l))) assuming l is positive.\nAnswer: l**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrrrrqrrrrrrrr. Give prob of sequence qrrr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3556.1 times -3132\nAnswer: -11137705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -12002?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 1 + 1)*(5 - 1 - 3) - 3*y**2 - 3*y**2 + 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1345\/2, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 368*z - 367*z + 16. Let y(g) = -10*g. Let t(r) = 56*r. Let w(c) = z*y(c) - 3*t(c). Let m(k) = -k + 4. Let o be m(3). What is w(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 9:09 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107890261843110 + 107890261843110 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 118.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = 2*w + 109. What is the second derivative of w*h + 16 + h + 60*h**2 - 10*h wrt h?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/4, 0.4, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 8. Solve -i + 1 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -250431 + -3?\nAnswer: -250434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(54)\/sqrt(3) - (5 + sqrt(54)\/sqrt(3)))*-4*5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4955.801 - 4958. Round k to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5284.016 milligrams to nanograms.\nAnswer: 5284016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 14 + 1\/3*d - 1\/3*d**2 = 0?\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-470)*(-188)\/((-137052)\/(-1215)).\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12011330 (base 4) to base 5\nAnswer: 1244311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 395582447 to the power of 1\/2, to the nearest integer?\nAnswer: 19889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 20*s**2 + 20*s + 4. Calculate t(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 - -48. Suppose -72 + 827 = 5*x. Suppose -v + 5*n = -m*v + 248, -3*v + 5*n + x = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + 26. Let v(c) = 11 - 8 - 13 - q*c. What are the prime factors of v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) -1  (b) 43448  (c) -7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/11)*r*r**1\/r*(r*(r*r**0)\/r*r*r*r)**(-3\/5) assuming r is positive.\nAnswer: r**(-82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*n - 7*q + 8528, 2*n + 3*q - 5685 = 0. What are the prime factors of n?\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 158 and 765431.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.400982m?\nAnswer: 0.000400982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -i**5\/20 - 5*i**4\/12 + 2*i**3\/3 - 9*i**2\/2 - 7*i. Let c be z(-6). Solve c*r = 8 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-735))\/(6870\/8015).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 119282631 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -161*m**2 - 22 - 895*m**2 - 343*m**2 - 231*m - 589*m**2 + 30 wrt m?\nAnswer: -3976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllwwwwwlwlwww. Give prob of picking 2 l and 2 w.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 5*l + 22, 2*l + 601*q - 581*q = -48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/((-1)\/219). Suppose b + b = 5*r + a, b = -r + 19. Solve n + 0*n + 10 = -3*i, 2*i + 5*n = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7140 and 161256?\nAnswer: 95947320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 44\/154 + 1838\/(-14). Let n = -75 - f. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 - -2 - 1\/4*-13. What is the nearest to 0.2 in k, 0, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -bcd (base 14) to base 13\nAnswer: -10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 30*g**2 - 31*g - 14. Let u be j(-29). What is the remainder when 63 is divided by u\/8*(-2 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrbxlxvgxbrbr. What is prob of sequence lr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-148)\/3)\/(70\/(-21))*1400\/280.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 6*n. Let o(d) = -3*d. Let t(q) = 6*q. Let x(l) = -9*o(l) - 4*t(l). What is x(m(w))?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 4:27 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 3\/7, 5, -4, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60 and 247768?\nAnswer: 3716520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - ((-4 - (-36 + 26)) + -7 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -22. What is the closest to k in -5, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - 0. Let g = b - -35. Let k = g + -7. What is the greatest common factor of 45 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88575 - 60640. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*q + 31*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -148, -1\/5, 0.3, 3\/4, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 193, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 3\/449728900?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 4 = -4*s, 5*o + 3*s = -25. Which is the second smallest value?  (a) o  (b) 0.5  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 5*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27899394 greater than 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 15, -1818, 59, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*(5 + (1 + sqrt(208) + -1 - (-4 + (1*sqrt(208) + sqrt(208))**2) - (2*sqrt(208) + sqrt(208) + -2 - sqrt(208))**2*4)).\nAnswer: -37503 + 1188*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 19*i - 46. Let c be z(21). Let o(g) = -11*g - 34. Is 3 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53855108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*-3 - -2 - -54?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 408848, 817346, 1225844, 1634342, 2042840, 2451338?\nAnswer: 2859836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -7*t**2 + 3404*t + 24062. Give s(-7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -140, -142, -144, -146, -148, -150?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 7. Suppose -2*f = -j*f - 8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 26. Give g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 35 - -1b?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1550214 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -i - 11. Let q = 72 - 15. Calculate the remainder when q is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k**2 + 16*k - 44. Let z be t(5). Let j be (3\/((-30)\/4))\/(z\/195). Let p = -4 + 7. Solve 0 = p*o - j - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.062, 0.02, 0 in increasing order.\nAnswer: -0.062, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + h - 65 = 0, -740*o + 739*o - 7 = h. Put -3, 7, o, 2 in decreasing order.\nAnswer: 7, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216 and 185301.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 44*b + 228. Determine y(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 84 - -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*f**3 - 25*f**2 - 10*f + 120 = 0. What is f?\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b. Suppose -3*g = -1 - 2. Let t(j) = -j + 7 + g - 8. Calculate w(t(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 - 2466*f + 579740.\nAnswer: -2*(f - 202)*(f + 1435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 94457234 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**2 - 25*a - 26 = 0?\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -7. Solve 5*i - 2*u - 9 = -d*u, -u + 8 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(5\/3))\/j**(-3\/4) assuming j is positive.\nAnswer: j**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 74035*b. Let q(u) = -1043*u**2. Calculate q(v(p)).\nAnswer: -5716872017675*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j + 6. Let z(b) = -b + 1. Determine -t(y) - 3*z(y).\nAnswer: 10*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 12*k + 12. Let z be s(12). What is the common denominator of (z\/33)\/((-4)\/(-10)) and 59\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 3*x = 7, 3*p - x - 34 = -17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -355*f + 768 = -259*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qzj when three letters picked without replacement from {v: 1, q: 12, j: 2, z: 1, r: 3}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20286 and 6066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1509*j**2*q**2 - 3160*j**2 + 2*j*q**3 + j*q wrt q?\nAnswer: -3018*j**2*q + 6*j*q**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 440953 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1329096?\nAnswer: 2, 3, 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.15271nm?\nAnswer: 0.00000000515271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -0.1  (c) -489  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58 + 83. Let h = m + -30. Which is the nearest to 3?  (a) 0.2  (b) h  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 48773 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -530048 divided by -4.\nAnswer: 132512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c*c\/(c*c**5)))\/(c\/(c*c\/((c*c*c**(-1\/3)\/c)\/c)*c*c*c)) assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 15, 38, 71, 114, 167?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rdrwrordo. Give prob of picking 2 o and 2 d.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of -d**5\/60 - d**4\/12 + 3*d**3\/2 - d**2. Let c = 134 + -138. Let x be g(c). Calculate the highest common factor of 5 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.6  (b) 8558  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**2 + 107*r - 304. Determine a(47).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/27*(-54)\/60?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(48\/9)*(4 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*w - 363 = 504 - 237 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 199 - 104. Suppose -4*k + 341 = -l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1338 divide 136249028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*a**2 - 5235 - a - 5247 + 10466 as o*a**2 + x*a + w and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, k: 2, q: 3, s: 5}. Give prob of sequence qs.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -17*w + 24. Is 23 a factor of (-10*45\/(-18))\/(w\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.781 - -2.454.\nAnswer: 6.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c - 11. Let x be p(-9). Let v be -5*(3 - 5)\/x. List the prime factors of (50\/(-5))\/v + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 81 = b. Suppose 0*w - b = -2*w. Suppose -4*g = -t - 2*g + 17, -5*t = g - w. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31544, -31537, -31524, -31499, -31456, -31389?\nAnswer: -31292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 5*l. Let t be 2 + -3*(-8)\/(-6). Let n(i) = 5*i**2 + 2*i. Let a(p) = 26*p**2 + 11*p. Let g(z) = t*a(z) + 11*n(z). What is g(j(c))?\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -92937 + 9369. Let a = -48567 - p. Let o be a + 2\/(-2 + 0). What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**4 + 24*h**3 - 12*h**2 - 96*h.\nAnswer: 3*h*(h - 2)*(h + 2)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + (47 - 58) - 1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5 = 3*p. Suppose 0 = -4*l + 2*q + 2, -p*q + 9 + 4 = -4*l. Which is bigger: l or 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21012121232 (base 4) to base 5.\nAnswer: 1102314033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 509930399.7 - -26.\nAnswer: 509930425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-88)\/(-60)*(-60)\/(-594)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10042.6227 to 0 dps.\nAnswer: 10043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (11\/((-55)\/15))\/(114\/152)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -9*r - 178. Let a be k(-20). Suppose 12*q + a = -34. Put -6, 12, q in descending order.\nAnswer: 12, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4034074?\nAnswer: 2, 11, 29, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 3, 3\/2, -5, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - -5)*11\/(-2). Let k be (1 + (-12)\/9)*(t + -4). What are the prime factors of (-2 - -2)\/k - (-55)\/1?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*o**4 + 39*o**3 + 125*o**2 - 1.\nAnswer: 120*o + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*g**5 - 276*g**4 + 6444*g**3 - 59724*g**2 + 233280*g - 314928 = 0. What is g?\nAnswer: 3, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3879 (base 10) in base 12?\nAnswer: 22b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 317940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 14*l**2 + 32*l + 4. Calculate the remainder when t(16) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20450)\/(-1227))\/((-15)\/(-27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20)\/(-16) - 2\/8. Let n be -1*(5 - 5) - (-1 - b). What is the third derivative of 15*w**2 + 6*w**2 - n*w**2 + 8*w**3 + 11*w**3 wrt w?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1121745715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 1284*y + 26. Let n(u) = -148*u - 3. Let a(g) = -26*n(g) - 3*o(g). Let w(b) = 917*b. Give a(w(x)).\nAnswer: -3668*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 446 or 439?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 28139 - -8?\nAnswer: 28145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 3654 = -113*g. What is the biggest value in g, -0.2, -0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-8)\/6)\/(-2))\/(7\/42). Suppose -64 = -f*l + 4*o, 4 = -l + 5*o + 24. Let d(s) = -10*s + 4. Calculate the remainder when d(-4) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 73639*p. Let b(c) = -1380*c + 1. Give b(a(o)).\nAnswer: -101621820*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 567604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9\/26, -5, 0.4, 0.2?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 32 = -f + 17, -5*f - 4*h + 21 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 47*i**2 - i - 100. Let r(b) = 48*b**2 - b - 100. Suppose -20 = 2*s - 14. Let m(t) = s*d(t) + 2*r(t). Differentiate m(u) with respect to u.\nAnswer: -90*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5445*g**3 - 18992094*g**2 + 1151039*g\/5 - 3488\/5 = 0. Calculate g.\nAnswer: -3488, 1\/165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*v**2 + 8*v**2 + 34*v**2 - 9*v**2 to i + p*v**2 + l*v and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 30. What is the common denominator of (45\/v)\/(22\/4) and -99\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 2\/11  (b) 0  (c) -8.35  (d) 15\/118  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4 + 11 = 0. Let o(g) = -97*g + 0*g**2 + g**2 + l + 94*g. Suppose 0 = z - 4. What is o(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592229 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7420b3c + 1?\nAnswer: -7420b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 1\/6, -3, 1, -9, -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*o - 14 = 25*o. Suppose 4*f - 8 = -0*f. What is the third derivative of z**2 - z**4 - 5*z**2 + z**o + f*z**4 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43194449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -8*m - 0. Which is the second smallest value?  (a) -1\/9  (b) 5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177206?\nAnswer: 2, 251, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 2016.\nAnswer: -1\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148 = -2*x - 140. Suppose -5*k + 3*w = -172, 5*w - 2*w + 76 = 2*k. What is the greatest common factor of k and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 - -32. Solve -14 = -2*n - 2*j + 4, -n = 2*j - b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 690 + -677. Let u(a) be the third derivative of a**4\/24 + a**3 + 2*a**2. Let q be u(7). Calculate the greatest common divisor of o and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/27 + 56\/(-4) + (-13536)\/(-972).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 25. Calculate the remainder when 1268\/28 - 4\/g is divided by -2 + (-28)\/(-1) + (1 - 3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 2 - 2)*(5 - 5 - 5) + (-1 + 1 - 2)*(4*p + 9*p - 17*p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 78890302.3 rounded to the nearest ten thousand?\nAnswer: 78890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.996944 rounded to 1 dp?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 263572 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 0, 48, 2 in increasing order.\nAnswer: -2, 0, 2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38)\/209*(-11)\/22?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -119 divided by -4\nAnswer: 119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-135)\/(4\/(16\/(-4))). Suppose -5*l + h = -213, -3*l + x = h + 2*h. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -1878*n - 1872*n + 3753*n. Let u(v) = -55*v**2. What is u(b(h))?\nAnswer: -495*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1482)\/(-2717) + 1530\/462. Solve 0*x - 18*x**3 - 75\/7*x**4 - o*x**2 + 0 - 12\/7*x**5 = 0 for x.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxy when three letters picked without replacement from kxuyuxukxk.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**5 - 3*r**5 + 0*r**5)*(-15 + 16 + 9).\nAnswer: -50*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -964169297*k - 1020698492 wrt k.\nAnswer: -964169297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/1720 and 59\/6450.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*u - 3 + 3)*(-6 + 1 - 5).\nAnswer: 20*u + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 - 31*r**2 - 202*r + 12. Is 17 a factor of k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 73476.48 years?\nAnswer: 73.47648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t + 22*t - 25 = 0. Let z = t + -24. Let y(k) = 4*k**3 + 0*k - 1 - 3*k**3 + k. Let f(c) = -2*c**3 + c**2 - 3*c + 4. Give z*f(u) + 3*y(u).\nAnswer: u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -9, -15823, 3, 14.\nAnswer: -15823, -9, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + y = -3*y. Let j(k) be the second derivative of -4\/15*k**6 + y*k**2 + 0*k**3 - 1\/7*k**7 + 0*k**4 + 0 - 3*k - 1\/10*k**5. What is z in j(z) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 + 81. Suppose 15*t - z + 7 = 0. Solve 2*f = 2*a - 3*a - t, 0 = a - 2*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s**2 + 274*s + 2023. What is w(-7)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24.2 + -24. Let v be (6\/12)\/(2 - 3). Sort v, -0.2, 5, m in increasing order.\nAnswer: v, -0.2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in -1, -4, -0.19, 81, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*m**3 + 34*m**3 - 211*m**3 + 261*m**3 - 537*m**3.\nAnswer: -564*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10287403, 10287409, 10287415, 10287421?\nAnswer: 10287427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 2*q - 22 = -5*a, -2*a + 3*q = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181 = 3*h - 5*x + 124, -x - 317 = 3*h. Is 5034*(6 + h\/18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -115 - d**2 + 53 + 61. Let g(a) = 3*a**3 + 22*a**2 - 24*a + 1. Let u(y) = g(y) + z(y). Let u(j) = 0. What is j?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-6)*b)**38 assuming b is positive.\nAnswer: b**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 31 = -5*x, -4*x + 4*y + 1223 = 1227 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5370)\/(-2864)*(2\/3)\/((-4)\/2)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -36698270 less than -36698270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2697297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gee when three letters picked without replacement from ggjjeeqeeeeeeqeq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3619991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 bigger than 901\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+-427\nAnswer: -427.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4*-2*(5*(sqrt(300) - (3 + 2*sqrt(300)) - sqrt(300)) + (2*sqrt(300) + -5 + -1)**2).\nAnswer: -9772 + 2720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 68141 - 3?\nAnswer: 6813c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 6 = -f - 25, 0 = -4*f + 20. Let y = 12 - p. Sort -2, y, 2 in descending order.\nAnswer: 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -14331, 2, -15 in descending order.\nAnswer: 5, 4, 2, -15, -14331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 3*c - 57 = 0, -j + 6393 = -c + 6406 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 3\/5, 0, -3\/8, 0.18, 135, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2))\/q**(2\/5))\/((q\/q**0)\/q*q)**(1\/14) assuming q is positive.\nAnswer: q**(-103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -16*p**2 + 2*p - 9. Let k(b) = -b**2 + b - 2. Let z(g) = -d(g) + 2*k(g). Let f(y) = 2*y. Determine z(f(a)).\nAnswer: 56*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 4*c = 586. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 11*m**7\/140 - 29*m**4\/8 - 7*m**3 - 2*m**2 + 2. Let j(g) be the first derivative of v(g). Differentiate j(s) wrt s.\nAnswer: 198*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18649 - -18645. Let b = -1.8 + 2. What is the closest to b in 0.4, -15, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1094, -5482, -9844, -14168, -18442, -22654, -26792?\n\"Answer: 2*a**3 + a**2 - 4405*a + 3308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -896 + 898. Suppose -5*c + 3*c = -8. Suppose 6*a - 4*j = a + 299, c*j = q*a - 110. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from nnymmssmsnnmnsmnnmmn.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1171817268?\nAnswer: 2, 3, 29, 3367291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 4, -491, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 12, v: 1, y: 3}. Give prob of sequence tyv.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 57348944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/7408454 and -53\/28132?\nAnswer: 192619804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3437129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37899539, 75799078, 113698617, 151598156, 189497695?\nAnswer: 227397234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0*(-3)\/(-2*3). Suppose -2*s + 4100 = -n*s. Round s to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 72*i - 778. Determine f(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.2 >= -138.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1173744 and 8.\nAnswer: 1173744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pvpyooyooyv. What is prob of picking 1 o, 1 v, and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + -54 + (-14 - -41)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 10:58 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 0. Let z = 7 + -4. Let y = z + s. Is 3\/2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 4*y**2 - 2*y - 1. Let v be a(-1). Solve v*p + 2 = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1c + -620?\nAnswer: -63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 744214.37 to the nearest one thousand.\nAnswer: 744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 + 10. Let j = g + -26. Which is the nearest to -0.1?  (a) j  (b) -1\/7  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 286550609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5a86 + -10?\nAnswer: -5a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4 - 276*g**3 - 7788*g**2 - 69696*g.\nAnswer: -3*g*(g + 22)**2*(g + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.30401 rounded to 3 decimal places?\nAnswer: 3.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 450 - 641. Is (-12)\/24 - i\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -2. Let t(c) = -g*c + 0*c**2 - c + 2*c**2 - 3*c**2 - 4. Let n(o) = -4*o + 3. Let r be n(2). Determine t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -0*t - 28. Suppose -o + 16 = 5*a, -2*a - o + t = -0. Solve 0 = -q + a*g + 8, -2*g + 3*g + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 413.353 and 11.44.\nAnswer: 4728.75832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -105, 1\/5, 7 in decreasing order.\nAnswer: 7, 1\/5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1022 - 3130300?\nAnswer: -3123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.03  (b) -0.2  (c) -1\/7  (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 + 87*f - 760.\nAnswer: (f - 8)*(f + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 - 24?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of ((-2432)\/(-114))\/(4\/6) + -2 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 + -11. Suppose -5 = -2*r - 2*d + 3*d, r + 2*d - l = 0. Solve -r*b - 14 - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**5\/15 + 748*l**4\/15 - 86698*l**3\/15 + 2931848*l**2\/15 - 948632*l\/5 = 0 for l.\nAnswer: 0, 1, 57, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - 4*t + 124, 4*w = 18*t + 3264 - 3360 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*p - 5*p + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00695175 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*p**3 + 30 + 8 - 38.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5086\/14 + 4\/(-14). Suppose 127*r = 142*r + 120. Calculate the remainder when x\/21 - r\/(-28) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87 + 5*w**5 + 19*w**2 - 2*w**5 - 69 + w + 15*w**2 wrt w.\nAnswer: 60*w**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/36*-3 - (-2)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 517*d**5 + 889*d**5 - 21*d**2 + 21*d**2 - 399*d**5 - 2*d**5 + 3*d**5 - 2*d**5 + (3*d**4 + 2*d**5 - 3*d**4)*(-5 - 2 + 3).\nAnswer: 998*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 3. Let g be i*(-1 + -2*1). Let f(p) be the third derivative of -p**5\/60 + p**4\/12 + p**3\/3 - 6*p**2. What is f(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/48 and -37\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 371822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 4*i = q - 38, -3*q + 114 = -3*i. Suppose q = 2*t - 12. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3135, 3797, 4459, 5121?\nAnswer: 5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of -5*x**4\/12 + 3*x + 213. Let a(d) be the third derivative of -d**5\/15 + d**2. Give a(s(g)).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1382 - 1376 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(3)*2 + sqrt(243)*-2 + -5)**2.\nAnswer: 160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -5060.64 to the nearest ten.\nAnswer: -5060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35617381 to the nearest integer?\nAnswer: 5968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 92323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 101*o**3 - 2325*o**2 - 144*o + 4374. Determine t(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5214 - -5214.5. Sort 7\/2, 68, -2, c in increasing order.\nAnswer: -2, c, 7\/2, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25.2 - 23.2. Which is the nearest to g?  (a) -1\/3  (b) 5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-17)\/(85\/15))\/((-6)\/38))\/(4\/(-4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -114520, -229041, -343562, -458083, -572604, -687125?\nAnswer: -801646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2 - 2)*(-3*v - 3*v + 5*v) - v**2 - v**2 + 4*v**2 + (-2*v + 3*v - 2*v)*(4*v + v - v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-30 + (-12159)\/(-378))*(6 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5*m + 29 = 0, 2*j - 15 = -3*m + 16. Suppose -5*k = -8 - j, 19 = 4*f - k. Suppose -f = -2*g, -2*g - 15 = -3*p - 4*g. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 5*l - 44, 2*f + 3*l = 6*l + 81. Suppose -32*c - 28 = -f*c. Solve -5*g + c = -9*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -0*m + 3*m + 6, -m - 3*v + 18 = 0. Let t be ((-4)\/m)\/(8\/(-12)). Suppose 0 = -o - t*c + 2, c - 2 = -5*o + 8. Solve -o*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -1, -2\/9, 4\/41, -0.028, 8 in descending order.\nAnswer: 8, 1\/2, 4\/41, -0.028, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 261 = 4*h + 5*f, 348 = -4*h - 3*f. Let s = h + 82. Let z(p) = -p**2 - 5*p - 7. Let q(r) = r**2 + 3*r + 4. What is s*q(g) - 3*z(g)?\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(800) + -3*(sqrt(24)\/sqrt(3) - sqrt(8)) + -5 + (sqrt(72) - (1 + sqrt(72))) + 3)**2.\nAnswer: 360*sqrt(2) + 7209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 75\/11 + (-6)\/(-33). Let p = -4 + k. Solve -5*g + 8 = 3*w, w - 2 = -p*w + 2*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -35, -5 in descending order.\nAnswer: -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14254022, 14254010, 14253988, 14253950, 14253890, 14253802?\nAnswer: 14253680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - 0. Is -1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 23, 133, 299, 515, 775, 1073?\n\"Answer: -d**3 + 34*d**2 + 15*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 39*i**2 - 28084*i + 2880.\nAnswer: (i - 720)*(39*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*n + 28. Let k be (-8)\/n - (-54)\/(-7). Let m be k*(-1)\/8*10. What is the highest common factor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25.59 - 0.59. Let h = 25.2 - x. What is the second smallest value in h, 0.5, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/42 and 101\/64216704.\nAnswer: 449516928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 12:15 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 3*u**3 - u**2 - 4*u - 1. Let z be f(-2). Let k = 21 + z. Solve w + w - 10 = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = f - m, 3*f + 1 - 13 = -2*m. Determine b, given that 0 + 0*b**4 + 0*b**f + 0*b - 2\/7*b**5 + 2\/7*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 77 - 101. What is the third biggest value in -0.1, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 7. Suppose -k*c - 4 = z, c + 1 = -3*z - 11. Suppose c = 2*x - 92 - 8. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3241 + -3236. Let p(o) = -7*o**3 - 4*o**2 - 5*o + 6. Let l(a) = -6*a**3 - 3*a**2 - 4*a + 5. Calculate t*p(n) - 6*l(n).\nAnswer: n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 10*z**3 - 2*z**2 + z. What is the remainder when 25 is divided by x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*c**3\/6 - 986*c**2\/3 + 7432*c\/3 - 14560\/3 = 0. What is c?\nAnswer: 4, 1820\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 53948 divided by -26974\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 11*g + 3. Give f(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -645539.889999965 + 645553.89. Let o = i + -14. What is o rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-5 - 2)) + -660 + 671\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*q + 89*q = -362570. List the prime factors of q.\nAnswer: 2, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + -339 + 15\/3. Let w = -10 + 14. Calculate the remainder when 141\/13 - (5 + v\/65) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2908 - -0.1092. Put l, -2, 0.1, -0.004 in descending order.\nAnswer: l, 0.1, -0.004, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*q - 197 = -12*q + 797 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2*37\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2792301 - 2.697564.\nAnswer: -2792303.697564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/70)\/(12\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q = 4*w - 25, -4*q + 25 = -3*w. Let p be (-3 + -6)*(q\/(-3) - -2). Solve p*l = -5 - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -2.1. Suppose -2*g + 3 = -2*p - 3, 12 = -3*g - 4*p. Suppose g = -5*q + 4*q. Which is the third biggest value?  (a) h  (b) q  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3380705 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, r: 4, e: 5, b: 2}. Give prob of sequence ee.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minus 408.81?\nAnswer: -291.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = -2*g, 0 = 3*u - g - 13 - 3. Let f(r) = r - 5. Let t be f(u). Is (-11 + 0)*(-2)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 - ((-4)\/2)\/1 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 643*q + 1364 - 1437 - 991 wrt q.\nAnswer: 643","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3704849 or 3704851?\nAnswer: 3704851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*2\/(-1))\/((-42)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35137, -35122, -35091, -35038, -34957?\nAnswer: -34842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 228  (b) 0.5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**5\/3 - 136*y**4\/3 - 1528*y**3\/3 - 892*y**2 + 4530*y + 11700 = 0. What is y?\nAnswer: -5, -3, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 7:33 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72 is divided by 65?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x + 73*x + 24*x + 5.\nAnswer: 88*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5*a = 25, -2*a - 2*a + 46 = 2*k. Let z = 9 - 7. Suppose -z*r - r = -495. Calculate the highest common divisor of k and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 117.\nAnswer: -7\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.65 - -0.15. What is the third biggest value in 3\/4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/11))**1*(u**(-17))**(-1\/58) assuming u is positive.\nAnswer: u**(71\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r**2 + 3*r - 3. Suppose -2*f - 2 = -3*f. Let a(g) = -13*g**2 - 10*g + 9. Suppose -4*n + 23 + 5 = 0. Calculate f*a(t) + n*h(t).\nAnswer: 2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-6)*6\/4. Let t be ((-13)\/(-4) + w)*4. Suppose t*n - 14 = 2*b, 0 = 4*b + 4*n + 2 - 30. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -35*x + x - 15*x + 18*x - x + 16*x + (x + 0*x - 3*x)*(2 + 1 - 2) - x + 4 - 4 + (-2 + 5 - 4)*(5 - 2*x - 5).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 82 by -226.\nAnswer: -41\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w. Let h = 7 - 7. Let d(n) = 2*n - 4*n + h*n - 2*n. Calculate d(s(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*n + 1750 = 430. Calculate the highest common divisor of n and 880.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 7 - 1. Suppose -92 = -6*l - m. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.92, -3, -5, -4.1, 27 in descending order.\nAnswer: 27, 3, 0.92, -3, -4.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59*f**5 - 55*f**5 - 159753*f**3 + 156*f + 159753*f**3 wrt f?\nAnswer: -2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 5*h + 5*k - 170 = 0, 3*h + k - 154 = 0. Let i be h\/45 - 2\/3. Let t = -15 - -11. Which is the third smallest value?  (a) -0.2  (b) t  (c) i  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v + 1. Let u be c(2). Is (1 - u)*23\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*l**3 - 33*l**3 - 35*l**3 + (11*l - 4*l**2 - 11*l)*(0*l + 4*l - 2*l) - l**3 - 1 + 1 - 3 as a*l**2 + n*l**3 + s + c*l and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 350 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 691248063?\nAnswer: 3, 11, 19, 397, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*r - 8. Let q be r\/(-22) + (-108)\/(-132). Let l(s) = -s**3 + s**2. Let g be l(q). Solve 8*n - 3*n + 15 = g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-4)*(-16)\/(-3). Let d = -94 + 158. Calculate the highest common divisor of d and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 345*z**2 - 175*z + 165*z**3 + 249*z**3 - 733*z**3 - 5*z**4 + 154*z**3.\nAnswer: -5*z*(z - 1)**2*(z + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**2 - 50*y - 63. Is 13 a factor of c(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108057417 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 6*s - 8. Let f be d(-8). Suppose z + 5*p = 18, 5 = -4*z - 3*p - f. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 PM and 5:20 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 1 - 4. Let j = -8 - p. Let s = 16 - 17. Let x(o) = o**3 + 5*o**2 + 5. Let h(n) = -n**2 - 1. Calculate j*h(d) + s*x(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -6*d**2 + 5*d + 1. Let j(n) = -5*n**2 + 4*n + 1. Let i be (-14)\/(-49) + 19\/7. Let a(w) = i*o(w) - 4*j(w). Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30?  (a) 5  (b) 2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 1 - (17 + -16) - (16 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -216*u + 214*u + 556. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 9) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-29488)\/(-342) - 3\/(54\/4). Let n = k + -84. Suppose 5*q - 200 = n*i + 10, -210 = -5*q + i. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 + 11*j**2 - 27 + 8.\nAnswer: 13*j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 61129669 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-662 - -635) + 65 + 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -680640 - 5?\nAnswer: -680645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -5*w - 36, 15 = -a + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -234.46 and 5866412116.\nAnswer: 5866411881.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4339022 to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 47 = -88. Suppose -9 = 3*r, -17 = -5*d + 5*r + 73. Suppose i + d = 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 467 = 133. Solve 0*g = -15*g + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 24215819 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 - 1)*((-c + c + 2*c)*(-4 - 1 + 7) + 316 + 24*c - 316 - 12*c - c - 144 + 143) to the form z + w*c and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 753.703 micrograms?\nAnswer: 753703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 7)*11\/77. Sort 2, -1, -2, h in increasing order.\nAnswer: -2, -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 347*n - 7. Let y be a(-7). List the prime factors of y\/(-35) + -3*2\/(-15).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 1 + 0)*(-n + n + n) - 389*n + 263*n - 429*n)*(0*n**2 - 5*n**3 + 0*n**2 + (-3*n**2 - n**2 + 3*n**2)*(0*n - 2*n + 3*n)).\nAnswer: 3324*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*m - 28*m + 2*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 136*x**5 + 6496*x**4 - 3876*x - 6499*x**4 - 492*x**5 - 81*x**5 wrt x?\nAnswer: -8740*x**3 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 2 = -4*h - 8, 5 = g - 5*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v**2 - 66*v + 448. Let z be s(6). Solve 4*g - z = -232 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*4*(5 + -3*1*sqrt(847)*-3) + -1)**2*4.\nAnswer: 53856*sqrt(7) + 4392004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2207 plus -0.3897?\nAnswer: 2206.6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y - 2. Let m(v) = v - 19. What is -4*m(p) - 3*q(p)?\nAnswer: -p + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -95003549899.696093 - -95003138968.9. Let f = x + 410931. Let s = -0.204 + f. What is s rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 2 = -3*n + 2*m, 0 = -5*n - 2*m + 14. Suppose 0 = 4*a - 0*a + 20, -3*c = n*a + 7. Solve -c = -4*u - 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-11 - -3) + -12 + -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {w: 2, b: 2, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 16 - 11 = 0. What is the units digit of (-380)\/(-12) - 3\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -1\/7, 2263 in ascending order.\nAnswer: -0.2, -1\/7, 2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 25*o**2 + 53*o - 6. Calculate the smallest common multiple of 18 and z(-27).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229104 - 25*j + 230589 - 459693.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -211*h - 916. Let t be c(-9). What is the greatest common divisor of 4 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 3*m - 15. Suppose 0 = 3*b + 5*g - 20, -m*b + 0 + 14 = -g. Let h(z) = -z + 5. Let f be h(b). Put f, 2, 3 in increasing order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -197 + 201. What is the least common multiple of 180 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 111.7 - 110.7. What is the closest to -1 in 3, r, 0.219?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 45\/49?\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1295)\/(-111) - (9 - -1). Sort -0.2, f, -3, -1136 in increasing order.\nAnswer: -1136, -3, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1872 and 5976?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8\/(120\/63) + -4)\/1. Let w = -1 + 0.8. Put -6, n, w in increasing order.\nAnswer: -6, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-5)*(113 + 2). Let d = 64 + y. What is the least common multiple of 20 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 192174 and 96087.\nAnswer: 192174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -192.03 - -191. Let g = n + 1. Let t = -0.01 + g. Which is the smallest value?  (a) 0.5  (b) -5\/3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 670704889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20))**2*-4*-4 - ((5 + sqrt(80))*5)**2.\nAnswer: -2305 - 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1.1. What is the second smallest value in -1, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 3\/2*k**3 + 1\/120*k**6 + 2*k**2 - 1\/4*k**4 + 0 + 1\/10*k**5 + 0*k. Let y be c(-7). Solve -2*z - y*z = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c**3 + 5*c**2 - 4*c. Let n(v) = -v**3 + v**2 - v. Let z(x) = 5*x + 59. Let u be z(-11). Give u*n(i) - m(i).\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138 + 47*j + 211*j - 326*j + 67*j - 138.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v + q + 10, -4*v + 221 = -q + 203 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 4 - 1)*(-3*d + 2*d**3 + 3*d) - 2 + 3*d**3 - 4*d**3 + 0*d**3 as n + i*d**3 + o*d + g*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -11*b - 5*v, -145*v + 9 = -5*b - 148*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -2*f. Suppose 15 = h - f. Suppose -3 + h = j. Calculate the remainder when 35 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*j**5 + 151*j**4 - 2*j**3 - 48*j**2 + 2131 wrt j.\nAnswer: 480*j**2 + 3624*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21780186 to the power of 1\/2, to the nearest integer?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*v**3 - 6*v**3 + 2*v**2 - 5 + 3*v**3 in the form a*v**3 + h*v**2 + o*v + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i - 97. Calculate d(-16).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*c**3 + 1733*c**2 - 4467*c.\nAnswer: 24*c + 3466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5438 in 923, 3\/7, 4, 0?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15226 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v - 5*h = -20*v + 1096, -1619 = -3*v - 5*h. Put -5, -3, v in decreasing order.\nAnswer: v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9455638093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001424331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, a: 1, b: 3}. Give prob of picking 1 a and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -r**5\/30 - r**4\/12 - r**2 + 1. Let v(u) be the second derivative of m(u). What is the second derivative of v(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 104 by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-261)\/45)\/(8\/(-10))*1028\/(-257).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 178\/15 - 614\/45. Is -3 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 11 = -23. Let h be (-1)\/3 + (y - (-78)\/18). Factor 3\/2*o**2 + 0 + 3*o**3 + h*o + 3\/2*o**4.\nAnswer: 3*o**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1655 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173.736*0.5.\nAnswer: 86.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 525 - -95. What is the greatest common divisor of 40 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*p**3 - 41*p**3 + 14*p**3 + (0*p + 2*p - 3*p)*(-4*p**2 + 2*p**2 + 3*p**2).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - x. What is m(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 601, 0 in descending order.\nAnswer: 601, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -66. Suppose -p = -r - 14. Find the first derivative of -r + 5 - 7 - 9*u**3 wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 4\/7  (b) 3\/5  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43697 = -1033*o + 16217 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4788254 divided by 1?\nAnswer: -4788254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246 = 3*x - 2*u + 216, u = 4*x - 45. Solve l - 2*r - 10 + 3 = 0, -4*r = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -6*v - 12. Let s be d(-6). Let a = s - 20. Suppose 0 = -4*t + 3*y + 22 + 5, -t - 3*y = -3. Calculate the smallest common multiple of t and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 13*y**2 + 12*y + 1. Let a be d(12). Let m be (5 - a)\/(7\/140). What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 180\/(-315) + 3*4\/21. Solve 4*p + 17 = -3*h - 0*h, -3*h + 5*p + 1 = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4873, -10131, -15389, -20647, -25905?\n\"Answer: -5258*s + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122123 - -9854184.7.\nAnswer: 9732061.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 16ba8b6?\nAnswer: -16ba8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 4*o**2 - 3*o - 10. Let j be p(7). Calculate the common denominator of -101\/10 and 6\/(-36)*(j - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from {a: 7, o: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 6339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4)**(-3\/11) assuming f is positive.\nAnswer: f**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 70522140\/31 > 2274907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - p - 28 = -4*u, -2*u = -2*p + 58. Let s = 227 + -227. Suppose s*t - 4*t + p = 0. Calculate the highest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 2\/9, -0.5, -81?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + 2 - 2)*(-2*s + 5*s - s)*(-6 - 196*s**3 - 2 + 139*s**3).\nAnswer: -456*s**5 - 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 5*l - 13, 2*l + 18 = j - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + p - 60655 = 0, 3*y + 10*p = 14*p + 91010. What is y rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59 + -58. Put f, -5, -1, -4 in descending order.\nAnswer: f, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 2 - 2*d**2 - d**3 + 0 + (-d - d + d)*(2*d**2 + 2*d**2 - 3*d**2).\nAnswer: -2*d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*l**2*q*z**2 - 106*l**2 - 11*q*z**2 - 8*q*z + q wrt z.\nAnswer: 60*l**2*q - 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f - 10. Let t(h) = 3. Let j(n) = 5. Let w(x) = -5*j(x) + 8*t(x). Let g(b) = l(b) - 12*w(b). Differentiate g(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 0*g - 2*d + 16, 0 = 2*g + d + 10. Let l(f) = 23*f**2 + f. Let z be l(1). Let c be (-5)\/(-4) + g\/z. Solve v = -2 - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (4 + 6 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 - 51.4. Let s = 8 + b. Let u = 62\/9 - 56\/9. Sort -5, u, s in ascending order.\nAnswer: -5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6.529153mm?\nAnswer: 0.6529153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -109*s + 17. What is the remainder when 1883 is divided by i(-1)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.24585 to 1 dp.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**4 + 72*x**3 - 132*x**2 + 64*x = 0 for x.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 485.0842 - 485. What is w rounded to 3 decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*r - 20, 2*r - 212*q + 10 = -208*q. Let k(l) = -11*l**2 - 2*l - 6. Let v(p) = 10*p**2 + 2*p + 5. Calculate r*k(y) + 6*v(y).\nAnswer: 5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/26 and -5964.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from {h: 2, g: 6, n: 1, x: 4}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = 5*o - 140. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 11, 7, 5 in descending order.\nAnswer: 11, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 13, -28, 1\/5, 1\/2.\nAnswer: -28, 1\/5, 2\/9, 1\/2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5416359*q**4 - 107093.\nAnswer: -21665436*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -49*d - 50*d + 9 - d**2 + 149*d - 53*d. Let m(k) = -2*k**2 - 4*k + 11. Let x(n) = -5*m(n) + 6*u(n). Give x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 0*m**2 - 1\/6*m**4 + 0 + 0*m**3 - 18*m. Let p(g) = 15*g**2. Determine d(p(c)).\nAnswer: -450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*t - 20 = i, t + 1 = -i. Let l = 0.25 - 0.02. Let r = l + -0.36. What is the second biggest value in r, i, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**14)\/((h\/(h**(-22)\/h))\/h*h) assuming h is positive.\nAnswer: h**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21084 or -21086?\nAnswer: -21084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 1)\/(1 - 0). Sort c, -3\/5, -0.3 in ascending order.\nAnswer: -3\/5, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(45\/12 - 3). Let h be u\/(1\/1 - 3). Suppose h*j - 24 - 52 = 0. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(5\/((-5)\/(-3)))*(-216)\/(-16).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -195*z + 11694. Calculate m(60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -16.1 * -25010\nAnswer: 402661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/5)\/u)**(-6\/19)\/(u**2*u**(3\/7))*(u**7\/u*u**(-2\/5))\/(((u*(((u*u*u*u*u**(1\/10)\/u*u*u)\/u)\/u)\/u)\/u)\/(u**2*u*u)) assuming u is positive.\nAnswer: u**(6997\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -23.7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-168)\/(-4)*((108\/20)\/(-9))\/(10\/(-25))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5041*z**2 - 124108*z - 763876 = 0.\nAnswer: -874\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8.577 - 0.023. Let p = b + 8.55. Sort 4, -1, 0, p in increasing order.\nAnswer: -1, p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1389424 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5 = 17. Let z(u) = -u**2 + 11. Let x be z(0). Suppose -7 = -5*j - i + d, -3*j + 5*i = x. Calculate the highest common factor of j and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 24052 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -82 - x**2 + 80 + 2*x**2 - 2*x - 7*x in the form i*x**2 + a + d*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*m + m - 5*m)*(4*m + 3*m - 5*m) + (1 - 1 - 3*m)*(-84*m - 36*m + 42*m)*(2 + 4 - 4) + 3*m**2 - m**2 - 3*m**2 as l*m**2 + h + g*m and give l.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-12)*(-90)\/40*3\/(-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) - sqrt(21)\/sqrt(252) - (-3 + sqrt(147)*2*4))**2.\nAnswer: -289*sqrt(3) + 83629\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156935.\nAnswer: 5, 31387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*u - 30*u + 68*u + 32.\nAnswer: 2*u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r + 90. Determine i(27).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**7\/35 - z**3 + 7*z**2. Differentiate o(g) with respect to g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 44 + -2 + 0 + 7. Solve -2*z = -59 + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2)\/f)\/f**(-2\/13))**(8\/15)\/((f*f**(1\/2)\/f)**26)**5 assuming f is positive.\nAnswer: f**(-12971\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 - -16. Let b = d - -9. Suppose 3*q - 129 - 261 = b. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 48*l - 76. Let u be a(53). Let d = 128 + -121. Calculate the greatest common factor of d and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1291133537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 663*m = 620*m - 344 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3516, -1, 8, -1\/4, -31?\nAnswer: 3516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 3*f + 0*f)*(6*f - 6*f + 3*f**2)*(31*f - 121 + 121).\nAnswer: -93*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9595 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 82*m + 330. Let w be h(-4). Calculate the common denominator of -87\/262 and w*(266\/40 + (5 - 6)).\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 2*f - 2*f)*(-2 + 6 - 10).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 13 = -4*s, -g - 4*g - 4 = -3*s. Let a(q) be the first derivative of -q + 3\/2*q**2 - 1. What is a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/30 and -143\/53940.\nAnswer: 53940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 8*u**2 - 2*u - 5. Suppose -8*x + 4*x + 52 = -5*i, x - i = 12. Calculate r(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 2232.54s?\nAnswer: 2232540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -c77631 (base 14) in base 5?\nAnswer: -3211240402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1101100011100010110111 (base 2) to base 16\nAnswer: -3638b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 111000?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112*s**2 + 223*s**2 - 94*s**2)*(s - 1 + 1) + (4 - 4 - s)*(-39 - 6*s**2 + 39).\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from uncnnpddeded.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + d - 2*d = 10, -221*f = -212*f + d + 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 193\/(-4439)*3\/2*(-2)\/(-6).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + 11 + 9 - 1595467*x.\nAnswer: -1595467*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*c + 0*c + 0*c)*(0 - 7 + 3) + 2 - 6*c + 1 + 5*c)*(-5*c**2 - c**2 + 4*c**2).\nAnswer: -14*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 306078 and 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**4 - 215*h**3 + 485*h**2 + 1595*h + 900.\nAnswer: -5*(h - 4)*(h + 1)**2*(h + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -17, -25, -35, -47?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-21)\/14*(0 + 2\/(-1)). Solve 5*g + 27 = -v*j + 2*j, -2*j + 5*g + 21 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 7*b + 35 = 0. Let j = b - -2. Put j, 2, -1 in descending order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and -3264699.\nAnswer: -3264699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 16\/7, 113, 0.084, 4?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 60829.\nAnswer: 1\/60829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -1\/7, 0.2, 68, 3, 5 in descending order.\nAnswer: 68, 5, 3, 0.2, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + 0 + 21\/7. Find the second derivative of -54*g**y + 15*g - 2*g + 71*g**5 wrt g.\nAnswer: 340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*q + 19*q + 2*g + 57270, -q = 2*g - 19082. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i = 9*i + 8. Solve 0 = 3*z + i*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -4*u - 3*z + 112, 3*u = 5*z + 47. Suppose 3*w - 17 = u. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -15*y - 680. What is w(-60)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 46 - 34. Suppose -3*r - v*r = -36. Suppose 2*g - 3*x - 4 = -4*x, 0 = r*g + 4*x - 8. Solve -c + g*c = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 2*p + b - 82, -2*b = 2*p - 68. What is the units digit of 3\/(-1*(-2)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 - -47. Suppose q*b + 1 = k, 3*k - 3 = -8*b + 4*b. Suppose b = 4*j - 1004 + 92. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9181 is divided by 191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**2 - 20*k - 17. Let v be r(-9). Let x(l) = 1. Let h(t) = t - 11. Calculate v*h(g) + 3*x(g).\nAnswer: g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 12:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 0.5  (c) -0.12  (d) 3  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0+-270932587\nAnswer: -270932587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -368368 = -82*y - 6*y - 0*y. Calculate the highest common factor of 230 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36748676?\nAnswer: 2, 157, 163, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 910 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: Let y = -7165 - -7166. Which is smaller: y or -3\/2033?\nAnswer: -3\/2033","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-124)\/(-2))\/(1 - -1). Let k = a - 13. Let q be k\/(-81) + (-58)\/(-18). What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -8, -79, -2, 2, 0.\nAnswer: -79, -8, -6, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 339 - 339.19. Let o = -0.01 + s. Which is the second smallest value?  (a) -3\/4  (b) o  (c) 1\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 1119 - 1305 = -5*v, 5*v - c = 2412. Let j be (-4 + v)\/1 - 1. Let k = j + 79. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 20 = 3*y, 2*z + 5*y - 24 = -0*z. Solve 2*o - 4 = z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 379968, 1 in increasing order.\nAnswer: -1, 0, 1, 379968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/6, 2, 106\/13 in descending order.\nAnswer: 106\/13, 5, 2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 658418364 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -m + 3, 3*v - v = -4. Let h = -1.994 + 1.694. Which is the third smallest value?  (a) h  (b) -5\/4  (c) m  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4063861 - 93495675\/23. Let a = -1168 - y. Is 1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -53*q + 330. Determine b(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*g = -216*g + 12320. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 32*n**3 + 396*n**2 - 260*n = 0.\nAnswer: -13, 0, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 a factor of 10826700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express i - 23*i + 7*i - 4*i in the form h + b*i and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-30))\/(2\/(-6)*285\/(-76)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/(((-1353)\/66748)\/((-36)\/6)).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 6) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 229 divided by -256\nAnswer: -229\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37\/116 - -2\/29. Which is the closest to -1?  (a) 3\/7  (b) 0  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rtooorhotyohhbo. What is prob of sequence to?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 334, 328, 318, 304?\n\"Answer: -2*y**2 + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11 + 2)*2 + 3. What are the prime factors of (d\/(-25))\/((-1)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1770 = 7*r - r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 - 20*u**2 + u + 26. Let a(p) = -p**3 + 10*p**2 - 13. Let v(q) = 11*a(q) + 6*x(q). Determine v(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uqoohugohqquhm. Give prob of picking 1 q and 1 h.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7312090*u + 19446742 wrt u.\nAnswer: 7312090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/((-1)\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 13*n**2 - 3*n - 105. Let p be w(12). Solve -10 = -2*y, p*y = z - 4*z + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**4 - c**2 + c. Let m(n) = -5*n**2 - 12*n. Let a(i) = m(i) - 5*u(i). What is the second derivative of a(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 667 - 662. Suppose 2*j + 3*n + n - 16 = 0, -5*n + 5 = j. Solve j*m - 25 = h*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19818 + 19754. Sort q, 0.2, -13 in ascending order.\nAnswer: q, -13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1072 is divided by 357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 62*r + 2165. Let i be q(-35). Let c(b) = -b**3 - 4*b**2 + 10*b + 21. Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*j = 143 + 62 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -88.952 - 0.048. Let t = c + 91. Sort 1\/2, t, -2, -1 in decreasing order.\nAnswer: t, 1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147 and 165010?\nAnswer: 24256470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*(380\/12)\/(-1). Let f be (2\/2)\/(g\/(-19)). Which is the nearest to -2?  (a) -3  (b) f  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 434*t - 4932 = 23*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z + 2*z. Let g be (-6 + 4 - 2) + z. Is g less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/12)\/((-3)\/42) + -4. Let g(c) = 3*c**2 + 4*c - 12. Calculate the remainder when g(d) is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38842, 38853, 38876, 38917, 38982, 39077, 39208?\nAnswer: 39381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 8*g - 1197. Let h(s) = 11*s - 1802. Calculate -5*h(i) + 7*u(i).\nAnswer: i + 631","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vfvvqvjvuvvvvququz. Give prob of picking 1 z, 1 f, and 1 q.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4621 (base 7) to base 14.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -3*t - 2*s + s, -5*t - 70 = 5*s. Let y = t - -18. What is the smallest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*d = 14, 5*q - 2*d = d + 36. Let s = q + -7. Let n be 14\/18 + 1\/(-1). What is the second smallest value in s, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166*h - 3960 = 122*h. Calculate the lowest common multiple of 9 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -25*u + 11. Suppose 15*p + 30 = -210. Let r be w(p). Let t = 617 - r. What are the prime factors of t?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -21.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = w - 189. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 + 2*g - 4*g**3 - 46*g**4 + 45*g**4 + 5*g**3 in the form c*g + b*g**2 + n + z*g**3 + q*g**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/3  (b) -0.12  (c) 5  (d) -3  (e) -0.4  (f) 219527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 104 - 37. Let m = 62 - l. Which is the closest to 0.8?  (a) -4  (b) m  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47491 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -0.2. Let s = t + -0.3. Let a = 11.8 + -14.8. Put a, s, 0 in ascending order.\nAnswer: a, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -102, -231, -412, -645?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3048202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y + 12 = 4*y + d, 5*d = 3*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k - 2. Let p be t(5). Suppose 3*g = -0*g + p. What is the tens digit of (g\/(-2))\/((-6)\/300)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -363*u - 361*u - 293*u**3 - 443*u**3 + 724*u - 297*u**3.\nAnswer: -1033*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 136, 275, 414, 553, 692?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -178*r - 150 wrt r.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) - 1*sqrt(320)) + 1 - -4*sqrt(320)*-2)**2 + (3 + sqrt(320)*3)**2 + (sqrt(320) + (sqrt(320) - (2 + sqrt(320))))*4.\nAnswer: 48*sqrt(5) + 23362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 6*k**4\/7 - 15592*k**3\/7 - 335450*k**2\/7 + 235756*k\/7 + 115280\/7 = 0.\nAnswer: -22, -1\/3, 1, 2620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50\/13 - 148\/13*j - 6\/13*j**2.\nAnswer: -2*(j + 25)*(3*j - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*o - 6. Let y(i) = i**2 + 8*i - 8. Let h be (-4 - -5)\/(2\/(-18)). What is the lowest common multiple of o and y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83900 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 5*l = 5. Solve -l = 2*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 3*c = -14, -2*g + 473*c = 477*c + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-99)\/(-24))*5\/((-80)\/(-88)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/((-448)\/4))\/(-1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2266 + 2263. Put -16, r, 4\/7, -0.03 in increasing order.\nAnswer: -16, r, -0.03, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/23)*g**(-5)*(g**(-4))**(-28\/9))**(-40) assuming g is positive.\nAnswer: g**(-62360\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 377025550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a + 581 + 562 + a**2 - 1139. Give n(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (31\/248)\/(1\/(-2)). Suppose 0 = -5*v - 3 - 12. Let t = -5 - -1. What is the nearest to u in v, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -6*g**2. Let p(y) = -7*y**2 - y. What is l(p(i))?\nAnswer: -294*i**4 - 84*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-24 - (11 - (15 + -4)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 121303923.\nAnswer: -121303925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9760 and 514535.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -455 + 527. Let l be (-30)\/(-4)*o\/108. Solve -2*h + h - l = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1488 by 4.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*a**3 + 566*a**2 - 465564*a?\nAnswer: 378*a + 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-5 - (-3 - 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/17758063 and -23\/16385.\nAnswer: 88790315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5536 and 7612?\nAnswer: 60896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 0, 68 in descending order.\nAnswer: 68, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7262 + 7266. Solve -3*p = -5*o + 3 - 23, 4*o = -u*p - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003569159336 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -2791\nAnswer: -7\/2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 3*l = 6*o - 14, -39*l - 16 = -35*l for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-24) - 3\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 497 divide 268222948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 24020  (b) 0  (c) -3  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 15. Let c = -28 + 108. Suppose -w + 8 = -c. What is the highest common divisor of t and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19528d (base 15) to base 10.\nAnswer: -1232458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3023*n**4 + 2939 wrt n.\nAnswer: -12092*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2321 (base 4) to base 10\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 480, 476, 470, 462, 452, 440?\n\"Answer: -p**2 - p + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -3. Suppose -4*y - 27 = -3*a, 5*y - 4*a - a = -40. Let b = 6 + y. Solve -b = -l + d*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2763 + -2759. Solve 0 = -3*q + 4*k - 15, 0 = 6*q - 7*q + k - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52 + (-7956)\/72 + 58)*-4*(-1)\/(-173)?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-581)\/(-166)*(-1)\/2*-4. List the prime factors of 6589\/n - (-14)\/(-49).\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1506*l + 37417 = 111211 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -71*w - 355. Let o be z(-5). Solve -4*n + 3 - 11 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30897878*v**2 + v + 237599757 wrt v?\nAnswer: 61795756*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5010106142 to the power of 1\/3, to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2190 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-7))\/((f*f*f**10*f*f)\/f))\/(f*f**(2\/3))**(-1\/3) assuming f is positive.\nAnswer: f**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 7:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-2))\/(2\/(-12)). Let m(j) = j**3 + 3*j**2 - 5*j - 1. Let y be m(-4). Suppose -y*o = -14 - 4. Solve f*w - o*w = 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 35, 95, 2\/5, 1\/116 in descending order.\nAnswer: 95, 35, 2, 2\/5, 1\/116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14.225 - 14. Let b = x + 103.775. Let c = b - 103.999898. Round c to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**3 + 4*j**2 - 12*j = 0. Calculate j.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 77.37 - 70.37. Let r = 13 + -23\/2. What is the third biggest value in k, r, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.044+13190\nAnswer: 13189.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 5:58 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -368086 - -368248.083. Let y = s - 162. Round y to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 795 - 791. Suppose k - 1159 = o*t, t + 293 = -2*k - k. What is t rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 13*t**3 + 16*t**2 + 31*t - 17. Determine q(6).\nAnswer: 3553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1*94*((-1695)\/(-30) - -28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-336)\/(-2240))\/((-3)\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 227, 0, -2, -3, -0.1, 9, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + (1*sqrt(117) + sqrt(117))*-2 + sqrt(117)*1*1)\/(sqrt(54)\/(1*sqrt(600) + sqrt(600))).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.09 - -0.21. Sort -2\/11, -1\/2, j in descending order.\nAnswer: j, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26535 and 3660.\nAnswer: 106140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g + 4 = 29*g. Let q(y) = y - 1. Let o(p) = -15*p + 4. Give g*o(v) - 4*q(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1900\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 12:56 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + 3 - (-4)\/2. Suppose -3*u - c = 2*f + f, 0 = 2*f - 2*u - 4. Suppose -h - 5 = -2, 4*r - 4*h - 128 = f. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51 + -3 + 3)\/((-68)\/(408\/(-126))).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -3 - 4 - (9 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.043 + 1.04300547. Round g to seven decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 6:36 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 80 and 0.5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/sqrt(252) + sqrt(147) + (sqrt(147) + 1)**2.\nAnswer: 127*sqrt(3)\/6 + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46 - 55. What is the hundreds digit of 135 + -1 - (-9)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(68)\/sqrt(4)*2 + -4*(sqrt(17) - (sqrt(153))**2).\nAnswer: -2*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-144)*6)\/(((-2)\/(-32))\/((-231)\/42)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.05  (b) -0.2  (c) 5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11917690, -23835380, -35753072, -47670766, -59588462?\nAnswer: -71506160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -32*y**2 - 479*y - 1790. Determine d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/2 - 435*y**3 - 188353*y**2\/2 + 189660*y - 95048.\nAnswer: -(y - 1)**2*(y + 436)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - (24 + -62 + 5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -611, -4875, -16445, -38975, -76119, -131531, -208865?\n\"Answer: -609*k**3 + k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 125517\/16 - 7848. Find the common denominator of c and (1215\/400 - 3)*(-332)\/(-12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 1:17 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + p - 1. Let d be q(-4). Suppose 2*j + 2 = -y, 5*y = -j - d + 1. Solve j = -3*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 0 - (-4)\/(-10). Let z = 0 + -4. What is the second biggest value in i, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33*y*z**6 + 179401*y*z**5 - 909*y*z**2 + y*z + 78*y wrt z.\nAnswer: 3960*y*z**3 + 10764060*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11710627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 15. Suppose 12*b = 906 + 270. Let f be (b\/(-21) + 2)\/(4\/(-6)). Solve 0 = f*m - l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 7 = -31. Let l be 30\/12*j\/(-5). Which is the third smallest value?  (a) 2  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12956*z**3 - 4801*z**3 - 57778*z**3 - 35851*z**3.\nAnswer: -85474*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 + 105*n - 214.\nAnswer: (n - 2)*(n + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/3219909 and 10\/2067.\nAnswer: 41858817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9042 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4 + 2*sqrt(3))**2 + 3 + (sqrt(6)\/sqrt(2)*-1)**2 + sqrt(3).\nAnswer: -15*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -15*f**2\/2 - 2*f + 3. Let b be z(-4). Let c = -22 + b. Solve -r + 6*p + 24 = p, 5*r - 4*p = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2*v = 10, -s = -2*v - 7 - 3. What is the second smallest value in s, -0.3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 1:04 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -6*t**3\/7 + 570*t**2 - 117924*t\/7 = 0.\nAnswer: 0, 31, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a + 6*c = 35, 42*a - 77*a + 2 = -38*a + 3*c - 13 - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4735993.\nAnswer: 4735993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 78156295 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3923\/115 - -780\/23. Which is the fourth biggest value?  (a) q  (b) 1\/2  (c) 3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1364 - -1367. Let s(h) = h - 7. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5520 = 4*v + 5460. Solve -y = -5*x + 18, 3*y - 3*x = y - v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/9*t**2 + 0*t + 0 + 2\/9*t**3.\nAnswer: 2*t**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-121)\/5 - ((-4)\/20 - 0). Let l = -23 - z. Suppose 23 + l = 4*h. Solve -5*f + 2*f - h = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = b - 2, -349*b = -341*b - 4*t + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3c82 + 993?\nAnswer: -32ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + -2)\/2 + 3. Let y(a) = -14*a. Let d(i) = -2*i + 1. Let z be d(1). Let s be y(z). Calculate the highest common divisor of h and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18265 and 122744453.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.76 - -0.16. Let i = 25.2 + -26.2. Put d, i, 0 in increasing order.\nAnswer: d, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**2 + 1396*h + 1578*h - 4376*h + 1402*h + 9.\nAnswer: 3*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 43. Suppose 39*x = 25*x + 2002. What is the greatest common divisor of b and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 11*x - 4*x**2 - 3*x - 2*x - 5*x. Let a(l) = 3*l**2. Let o(m) = 5*a(m) + 3*c(m). Factor o(u).\nAnswer: 3*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**(-19)*w*w*w)\/w**(1\/6)*(w*w**(-3\/4))\/w*w**(1\/11))**50 assuming w is positive.\nAnswer: w**(-48925\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 252*z. Let r(h) = -10*h + 15. Determine d(r(c)).\nAnswer: -2520*c + 3780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15315.594 and 0.8.\nAnswer: 12252.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2430)\/(-24) - ((-60)\/16)\/5. Solve g*y = 91*y - 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 102227000 to the nearest one million.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -c**5\/60 - 43*c**4\/3 - 3679*c**3\/6 + 5*c**2 - 110. What is the derivative of h(t) wrt t?\nAnswer: -2*t - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -150855, -150446, -150037, -149628, -149219?\n\"Answer: 409*n - 151264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*x**2 - 1 - 95*x**2 + 1 - 76*x**2.\nAnswer: -234*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 24825888 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/1)\/(-3) - 2. Let l be (-208)\/d + 16\/24. Suppose 50 + 64 = 5*c + 4*x, 2*x = -3*c + l. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1730, -301, 5 in decreasing order.\nAnswer: 1730, 5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u**3 - 8*u**2 + 6*u - 3. Let x(t) = t**3 + t - 1. Let h(f) = v(f) + 5*x(f). What are the prime factors of h(9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/9, 5, -2\/13, 11, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2256\/(-5920) - (-1644)\/5480?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5480068130 rounded to the nearest one hundred thousand?\nAnswer: 5480100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -195*x**4 - 47.\nAnswer: -780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jfqejjfjjjejji. What is prob of sequence fqqi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*y**3 - 25*y**3 + 39*y**3 - 13*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s + 28. Let z(d) = 520*d - 1. Determine z(w(j)).\nAnswer: -520*j + 14559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/16*(-21)\/(-49).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*k + 14*k - 52428 - 151464. What are the prime factors of k?\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/(-10))\/(8\/(-20)). Let v be ((-996)\/q)\/(6 - 7). What is the units digit of v\/(-4)*(-12)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -s**5 + 6*s - 4. Find the first derivative of f(d) wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (10 + -10 - 18 - -16) + (12 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 162 - -197. Let m = -2879\/8 + h. Find the common denominator of m and 29\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1016 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4.37  (b) 4  (c) -0.4  (d) 1  (e) 5  (f) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*z - 15 = -250*z + c, -5*c + 13 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/11 - -38\/33. Find s, given that 2\/3*s**2 - j + 2\/3*s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.23, 0.06, 3\/7 in descending order.\nAnswer: 3\/7, 0.06, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 9*c + 17. Let f(s) = 21*s + 1288. Let q be f(-61). Give h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 21*t**2 - 10*t + 5. Let l(p) be the first derivative of -4*p**3\/3 + p**2 - p - 10. What is -11*l(z) - 2*r(z)?\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 6*b. Let q(f) = 3*f**2 + 13*f - 13*f + f**2. What is q(u(w))?\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-129 - (-4)\/4)\/(-1). What is the greatest common divisor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1092041466 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 g when three letters picked without replacement from {k: 1, l: 2, i: 5, s: 6, h: 1, g: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = s - 4*n - 13, 5*s = -3*n + 41. Let o(g) = g**2 + 12*g - 23. Let f be o(s). Let a = f + -100. What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-58)\/(-4)*6\/3. Suppose 39 = 4*n - i. Suppose -2*v - n = 4*k + 3*v, 21 = 3*k - 3*v. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/6*27104\/(-14520)*(-144)\/21.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -v**7\/280 - v**6\/720 + 5*v**4\/6 + 35*v**2. Let t(w) be the second derivative of f(w). What is t(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + b - 4*b = -1207, 3*v - 733 = -4*b. What is v rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*y - 80 = -54*y. Let l = 46 - y. Let i(q) = -q**2 - q + 1. Let p(o) = -4*o**2 - 6*o + 6. Determine l*i(k) - p(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 91*n - 1179. Give w(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32202, -38174, -48130, -62070, -79994?\nAnswer: -101902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 + -69. Let j be (0 - 1)\/(n\/2). Let f be (72\/(-54))\/(j\/30). Solve -4*l + 0 - f = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -585820 divided by 4\nAnswer: -146455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 6*s**2. Let d(f) = -452*f + 190. Let a(l) = 451*l - 285. Let o(m) = 2*a(m) + 3*d(m). What is o(n(z))?\nAnswer: -2724*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 8*j - 3*j - 2793, 5*q + 4*j - 7025 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 9*l - 7. Let z(s) = -s**2 - 10*s + 8. Let f = 21 + -14. Let u(b) = f*j(b) + 6*z(b). What is u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 4*x - 20. Let o(w) = 7*w + w**3 + 9 - 4*w + x*w + 8*w**2. Suppose -559*y = -525*y + 238. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109442 is divided by 54711?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1579.41 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 386496*o - 1159485. What is x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101.6 - 102. Let v = 7 - 6.5. What is the closest to v in -1\/3, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -12*u**2 + 21*u. Let j(p) = -3*p**2 + 5*p. Let k(b) = 21*j(b) - 5*t(b). Let y(i) be the first derivative of 2*i**3\/3 - 6. What is y(k(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-1)\/5)\/(1\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -34 + -35303?\nAnswer: -35337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 357*b - 365*b + 128. Calculate the remainder when 255 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6770, 6758, 6752, 6752, 6758, 6770, 6788?\nAnswer: 6812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214 = 15*v - 17*v + 109*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47bb93 (base 12) to base 14.\nAnswer: 223259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1266, 2446, 3510, 4428, 5170, 5706?\nAnswer: 6006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 3. Let l(i) = 4*i**2 - 13. Let a(g) = -6*l(g) - 26*z(g). Let d(r) be the second derivative of 4*r**3\/3 + 4*r**2 - 196*r. What is a(d(y))?\nAnswer: 128*y**2 + 256*y + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 600.87 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 11*k**3\/6 + 151*k**2\/2 + k + 111. Determine d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31194 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 7. Suppose 6*m - m - 35 = 2*k, -x*k = 25. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2561 - -2573. Solve h*t - 402 = -55*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108273866 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -i - 5, 121*i + b - 5 = 124*i. Is i greater than or equal to -130\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7852052?\nAnswer: 2, 13, 31, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, m: 2, z: 4, e: 3, i: 1, s: 4}. Give prob of sequence edi.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1*(101 + (-7505)\/76)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -5*w - 9, -3*h = -2*w - 4*h - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-18)*(-306)\/(-85)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -99 - -135. Let m = y - 35.999874. Round m to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from jppspsbppjpppppp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2236*j**2. Let i(b) = -1107*b**2 + 0*b + 1106*b**2 + 0*b. Give i(s(r)).\nAnswer: -4999696*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*l + 1038, 13*l - 6 = 10*l. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 23. What is the third derivative of -35 - 10*i**n - 6*i**5 + 19 + 16 wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -5*s**8\/336 - s**7\/14 - s**6\/8 - s**5\/12 - 121*s**2. Find l such that o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61440 and 18960?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16.1 + 20.1. What is the third smallest value in 2\/11, k, 2\/3, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f - 7. What is the remainder when 43 is divided by b(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -100833.34441 from -0.2.\nAnswer: 100833.14441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1881 by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 13. Let q = a - 5. Let c = -4.9999924 + q. What is c rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**10*a**(2\/33)*a)\/((a**(1\/3)\/a)\/a)**(-2\/53))**(-4\/13) assuming a is positive.\nAnswer: a**(-76940\/22737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -3\/1334192?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2. Let q(p) = 1 - 27 + 10*p + 30. Calculate q(x(k)).\nAnswer: -10*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 + -5.1. Let j be 2\/(-6) - (-5)\/(-21). Let z(l) = l**2 + 5*l - 5. Let s be z(-6). What is the closest to s in -1\/10, y, j?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/20 - ((-140)\/(-16) - (-588)\/(-112)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.0414 - 0.1?\nAnswer: -3.1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence grc when three letters picked without replacement from {h: 5, c: 1, r: 5, p: 4, g: 4}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44860084 to the nearest integer?\nAnswer: 6698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -1, 5, -0.01, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26.8 - 31. Which is the biggest value?  (a) -0.3  (b) -2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from {z: 3, m: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from ssmssssmsss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0*b*b*b*b*b*b**0)\/(b**4*b*b**2*b))\/(b\/(b**3\/b)*b*b*b\/(b\/(b\/(b\/(b\/(b*b*b\/b**5)))))*(b*b\/(b**(1\/4)*b))\/(b\/(b\/b**(-2\/17)))) assuming b is positive.\nAnswer: b**(-535\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - b + 10. Let v(i) = 381*i**2 - 5*i + 49. Determine 5*f(a) - v(a).\nAnswer: -376*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1112, 8818, 29734, 70466, 137620, 237802?\n\"Answer: 1101*l**3 - l**2 + 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 1.34  (c) -540  (d) -0.7  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v + 9 = -51 - 12. What is the closest to -0.1 in -0.4, -0.75, v, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18994.5 rounded to the nearest one hundred?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13\/52 + 23\/4. Let t = -84\/167 - -1\/334. Suppose 4*s + 1 = 9. Which is the nearest to h?  (a) -2\/9  (b) t  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and 290350.\nAnswer: 6387700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6574*-0.3807.\nAnswer: 2502.7218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5170381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -32, -142, -254, -368, -484?\n\"Answer: -x**2 - 107*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 623.9728nm in meters?\nAnswer: 0.0000006239728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 644984  (b) 2  (c) 0  (d) 1  (e) 3  (f) -0.2  (g) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 7215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 0.22  (b) -21  (c) -1  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2133 a factor of 1137970431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 146 + -3. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6786 - -6786.3. Which is the nearest to -1\/2?  (a) 21  (b) 3  (c) z  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 94 - 34 = 0. Suppose i = -h + 7, 0*i + i = 5*h - y. Solve 0 = -3*t + r + 3*r - h, 5 = -5*t + 5*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k**2 - 35*k - 26. Calculate the remainder when 334 is divided by d(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80)\/480*2\/6?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 42021*h + 462231. Give q(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9 - 0) + (-3232 - -264). Round t to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 11:46 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23, -14, 3, 28, 61, 102, 151?\n\"Answer: 4*s**2 - 3*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4432 (base 8) to base 12.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -64 and 2680.\nAnswer: -171520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 142102020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 95002068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -2*j + 3, -21*j + 8*j - 3*t - 26 = 10*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**3 + 290*z**2 + 32*z + 1498. What are the prime factors of l(-143)?\nAnswer: 2, 39359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - (12 - -7)) + (-2 - -8) - 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(4\/17)\/t**34)\/(t**(-5)\/t**22) assuming t is positive.\nAnswer: t**(-115\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -17*i**3 - 5*i**2 + 5. Let m(z) = -78*z**2 - 103*z**3 + 33*z**3 + 34*z**3 + 136 - 58*z**2 - 423*z**3. Calculate 136*k(o) - 5*m(o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -288 in -0.4, -111, 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.75, 4, -36042\/149 in increasing order.\nAnswer: -36042\/149, 0.75, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/1470 and 5\/3234.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0*b + 3. Suppose 5*u - 110 = 25. What is the remainder when u is divided by b - 1 - (-20 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -107.286132 - -107.3. Round t to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3\/3 + 24349*a**2\/3 - 77965*a\/3 + 4873.\nAnswer: (a - 3)*(a + 4873)*(5*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 1252*s - 1252*s + 42*s**2 - 4*s**2. Let x(z) = -z + 1. Let c(r) = -4*r + 5. Let t(p) = 3*c(p) - 15*x(p). Calculate t(i(f)).\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4703731 times 11\nAnswer: -51741041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/24*-3058*1*12. Suppose -10*y + s = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -32. Suppose -3*b - t = -b - 4*k, 24 = -2*b + 2*k. Let d be (0 - 6)\/(12\/b). Solve -h = -3*w - 7, -2 = 2*h + d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -139392624 divided by 22732?\nAnswer: -6132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (4 + -3)\/(-1)*-26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87828?\nAnswer: 2, 3, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 + 2224\/(-64))\/(2\/8). Are d and -455\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 4*p - 4*p + 0*p**2 - p**2 - p - 1. Let x be 1*(2 + 1\/(-1)). Let c(r) = 2*r**2 + 5*r + 5. Let a(d) = x*c(d) + 5*y(d). Let t(h) = 2*h. What is t(a(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u\/u**(-22)*u)**(-29) assuming u is positive.\nAnswer: u**(-754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6831120 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 7 = 2*o - 23, -2*o = 4*k - 12. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44\/53 - 757\/848. What is the second smallest value in -3, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 10:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1325 is divided by 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -9\/2573882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1391 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: Sort 2, -1, -2, -26, 0 in ascending order.\nAnswer: -26, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 10*q - 37. Let k be g(13). Find the third derivative of 3*b - 13*b**3 + 3*b**k - 2*b - 1681*b**4 - 3*b + 1680*b**4 wrt b.\nAnswer: -24*b - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 11*x**2 - 8. Let s(y) = 4*y**2 - 3. Let q(z) = -3*d(z) + 8*s(z). Let p(m) = m + 26. Determine q(p(n)).\nAnswer: -n**2 - 52*n - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128464?\nAnswer: 2, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/12 of a minute in milliseconds?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -685 + 229 + 225 - 3682*y + 231 + 1804*y + 1875*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, 8, -122947 in descending order.\nAnswer: 39, 8, -122947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p - 33 = 0, 4*p + 2 = 23986*c - 23987*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000559 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-12))\/w**(-9\/7)*(w**(12\/13))**(-1\/30))**(-1\/14) assuming w is positive.\nAnswer: w**(2217\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 207 - 208. Suppose 2*j = -7 + 21. Which is the closest to 1?  (a) 1  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) -5  (b) 0.2  (c) 1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*h + 18 = -87*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 925.7991um?\nAnswer: 0.9257991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -25*u + 9. Let l be r(1). Let y be -2 - ((-3 - (-12)\/l) + 2). Let t = -2 + 2. What is the nearest to 2 in t, y, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5559.4 and 0.4.\nAnswer: 2223.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 15, 169, 419, 759, 1183?\n\"Answer: -n**3 + 54*n**2 - n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, -0.06, 4, -2\/7, -10, -14\/97?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of -u**6\/120 - u**5\/10 + u**4\/3 - u**3\/3 - u**2. Let z be ((-70)\/25)\/(584\/1460). Give g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 611*l - 15*l**3 - 611*l.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 13 = 2*t, -7*j - 2*t + 25 = -2*j. Solve j + 9 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2898 divided by 3.\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000388702 to five dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1904 and 1008?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 80748 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**20*t\/(t\/(t\/((t*t\/t**7)\/t)))*t*t*t**19*t*t**7 assuming t is positive.\nAnswer: t**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 3*p - 6*p + 2*w, 4*p - 16 = -4*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 - 374 = -5*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 834019, 3336052, 7506107, 13344184, 20850283, 30024404, 40866547?\n\"Answer: 834011*u**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*k - 36 = -2*k, 33 = 3*y + k. Solve -4*i + 0 - y = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -7. Let d be 1\/2 - (-30)\/p. Let l = -0.3 - -1.3. Sort d, -2, l in ascending order.\nAnswer: -2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 565, 580, 595, 610, 625?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 3. Suppose -s*c + 6*c - 120 = 0. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g - g + 4*g - 4*g - 5*g + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2716 - 21829\/8. What is the common denominator of 151\/42 and v?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -4*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -5*c - 5*g, 10 = 2*c - 5*g - 2. Suppose -4*o - 3*h = -c, -2*h - 2 = -o + 2. Solve 17 = 5*q - 2*v, 0*q - 4*q + o = -4*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41723 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 7585*c + 0 + 1695*c - 1.\nAnswer: -5890*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*q*w**6 - 7729*q + 772*w**6 + 2*w**2 wrt w?\nAnswer: 1080*q*w**3 + 92640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 735686333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*w - 117, -2*w + 7*w - 4*l = -120. Let m be 16*2\/w*(-5)\/(-2). Is m less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {d: 1, h: 5, s: 4, n: 8}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 2 + (-24)\/9 - (-128)\/3.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.232 smaller than -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 12:59 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -9*v**3 - 5*v**2 + 3. Let x(i) = 3*i + 2. Let b be x(-3). Let l be ((-5)\/(-4))\/((-2)\/8). Let z(q) = 13*q**3 + 7*q**2 - 4. What is b*p(d) + l*z(d)?\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.633 - 0.209. Round g to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.698308642 - 315.\nAnswer: -306.301691358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -12233412.19 rounded to the nearest one hundred thousand?\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 90617*g*m**3 - 2*g*m + 75*m**3 - 93*m**2 + 3*m - 13037 wrt m.\nAnswer: 543702*g + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1653853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -1) + (-223 - -213).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 31, 1085 in ascending order.\nAnswer: -7, 31, 1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 264\/((-1)\/(-6)*(-9)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m. Let g(s) be the second derivative of -7*s**4\/12 - 11*s**2\/2 + 24*s. Calculate l(g(z)).\nAnswer: 14*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2090 is divided by 512?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1114 and 478279747.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 194  (b) -1.28  (c) 5  (d) 4  (e) -3  (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171 - 3*m**3 - 171.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000180024 rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 197.8 - -55.2. Let f = -165 + c. Let t = -83 + f. Sort t, -3, 1\/7 in descending order.\nAnswer: t, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 6*i - 4*q + 89, 3*i - 51 = -3*q. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 273811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/18 and 119\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 266 + -133. Suppose 3*g + 41*g + 2745 = 105*g. What is the remainder when q is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 41 = 4*t + 3*s, 0 = t - s - 3. Which is the third biggest value?  (a) -0.2  (b) 6  (c) t  (d) 0.3  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6995?\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 348002*n**2 - 174013*n**2 - 174009*n**2 - 89*n + 2 to z*n**2 + d + p*n and give p.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 26*z**2 + 109*z + 18. Let s be q(10). Let j = s - -497. Which is the nearest to -3\/7?  (a) j  (b) -3  (c) 4\/3  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 + 0. Let r be 6\/(-4)*x\/6. Let j be 20 + (-3 - -2 - -1). Solve -4*a - j = 4*g, -r = -3*a - 2*g - 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 585*x - 134*x - 132*x - 131*x - 132*x - 54*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5636321 and 878.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + (4*(1 + (sqrt(33)\/sqrt(3))**2) + -5)*-1).\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a**2 + 3*a - 2. Let w = 16 + 0. What is the least common multiple of c(2) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 171 = -11*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-34)*(112\/(-21))\/(-4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 3196.03 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-82)\/(9\/((-54)\/40)) and 25\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = a - 1. Suppose 18 = c + 3*t + 1, a*c = t + 101. What is the least common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014 times 24314?\nAnswer: -340.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o = -5*y - 17 - 53 - 146, -160 = -4*o + 3*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -11427441?\nAnswer: 11427441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 396 and 6600.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 619 is divided by 136.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1276\/(-1232) + (-2)\/(-7)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)\/sqrt(5))\/sqrt(7) + sqrt(5) - (sqrt(20) + sqrt(40)\/sqrt(2))**2.\nAnswer: -80 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9, -3\/4, 3\/2, -938?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1764138 to the nearest ten thousand.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 328967*g + 569. Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 47 = 1070. Suppose 4*a - a + 100 = -v, 5*a = v + 76. Let i = w + v. Solve 0 = -i*y - 0*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - n + n)*(-10*n + 7*n + 12*n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 1. Let v(k) be the first derivative of 7*k**3\/3 + k**2\/2 - 3*k + 15. Determine 6*t(l) + v(l).\nAnswer: l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 1)*((3 + 0 - 5)*(177*c - 109*c + 249*c) - 3 + 3 + c + (-1 + 2 - 3)*(2*c + 2*c - 6*c) + c - c + c).\nAnswer: -1256*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 1 = -4. What is the remainder when 10 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 17897.826.\nAnswer: 17893.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 980 = 4*h. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1035, -1081, -1149, -1233, -1327, -1425?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 621004 is divided by 1656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-5 + 12) - (-2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 96, 92, 86, 78, 68, 56, 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447504?\nAnswer: 2, 3, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 19\/(-7) - (-6)\/(-21). Let z(s) = s**2. What is the units digit of z(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from lvvvvvvlvvllljlvvv.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1343 and 6785584?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -5*h - 211. Calculate o(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -40*n + 695 + 858 - 1113 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 4:35 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 720 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 5*y + 2 + 12, 0 = -3*x - 12. Let f = -4 - y. Solve -5*u = -2*s - 12, -2*s + f*u + 12 = 3*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -8365*a**3 + 8*a**2 + 24. Let p(o) = -2789*o**3 + 3*o**2 + 9. Give -3*h(i) + 8*p(i).\nAnswer: 2783*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4496*-0.0226.\nAnswer: -101.6096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zfxxyxxysfsxz. What is prob of picking 1 x and 1 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -4*k - 12, 5 = -3*c - 2*k + 7. Suppose -5*z + 1538 = -c*p, 5*z + 2*p - 1539 = 17. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, h: 2, b: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*n + 12 = -168*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-24)\/(-9))\/((-5)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y - 33. Let n be r(6). Let p(x) = -x**3 + 4*x**2 - 6*x + 7. Give p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 3, -303, 2, -1 in ascending order.\nAnswer: -303, -1, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 344\/(-32) - 1026\/456.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64058413 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**3*w**2 + 752*c**3*w + 375*w**2 + 2*w with respect to c.\nAnswer: 3*c**2*w**2 + 2256*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5399, -0.2, -9.8 in decreasing order.\nAnswer: -0.2, -9.8, -5399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -82128?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 1. Let i(o) = -o - 6. Let p(z) = -3*i(z) - 15*s(z). Give p(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 137532 and 1570?\nAnswer: 687660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -r**3 - 3374*r**2 + 3375*r = 0.\nAnswer: -3375, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4993718?\nAnswer: 2, 41, 60899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2168 divided by 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 9, 22, 73, 180, 361?\n\"Answer: 3*t**3 + t**2 - 11*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48368716 is divided by 2845218?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -5*m**2 + 0*m**3 - 10606*m + 10606*m + 0*m**3 + m**3 - 4. Let a(p) = -4*p**3 - p**2 - 2*p - 1. Let o be a(-1). Determine y(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let p(x) = -17*x**3 + 11*x**2 + 4*x + 11. Let u(t) = 2*t**3 - t**2 - t - 1. Give -2*p(w) - 22*u(w).\nAnswer: -10*w**3 + 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3081314\/23 or 133971?\nAnswer: 3081314\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from bgdg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 726122 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1854113554.\nAnswer: 2, 283, 3275819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -35*i**2 + 3*i**2 - 42*i**2 + i**2 + 4*i - 4*i + (0*i + 0*i - 2*i)*(1 - 1 - i) + 11 - 11 - 15*i**2.\nAnswer: -86*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -m**5\/20 + 7*m**4\/12 - 2*m**3\/3 - m**2 - 2*m + 1854. Give y(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s + 1. Let c = 3 + -2. Let k be (-12)\/22*(-1298)\/354. Let r(o) = 6 + k - 2 - c. What is 4*h(g) - r(g)?\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 332011213 (base 4) to base 9.\nAnswer: 426757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6510.2 rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36772 or 36779?\nAnswer: 36772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 0) + -21 + 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**5\/4 - 237*o**4\/2 - 1791*o**3\/2 + 4779*o**2 + 31995*o\/4 - 66825\/2 = 0.\nAnswer: -10, -3, 3, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -782 - -777. What is the second smallest value in g, 3\/2, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {u: 5, b: 2, f: 2, k: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t + y + 2*y + 3, t = -2*y - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymfs when four letters picked without replacement from {s: 1, y: 5, m: 9, f: 1}.\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -23*p. Let z(x) be the third derivative of -19*x**5\/10 + 157*x**2. Give f(z(n)).\nAnswer: 2622*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s + 48. Let b be p(16). Solve -l - m + 3 = 0, b = -3*l + m - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*m = 1084 + 1983, 2*n + 3077 = m. Let i = 3025\/2 + n. What is the common denominator of 107\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 1:18 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-1 - (-18 + 11 - (0 + -1)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 2*f**2 - f + 14. Calculate the smallest common multiple of s(3) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 144.7 + -145. Let w be 2*(0 + 1\/(-3)). Suppose 4*b - 9 = -1. What is the third smallest value in b, w, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12983\/28 + -4 + (-1134)\/(-441). Factor b - 43\/2*m + 1\/4*m**2.\nAnswer: (m - 43)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4732*g**3 + 12559*g wrt g?\nAnswer: -28392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -a + 1592, 9*a = 12*h - 13*h + 468. What is the greatest common factor of 242 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v**2 + 3*v**2 + 2*v**2 - 3*v - 7*v**2 + 0*v**2 in the form u*v**2 + q + w*v and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o + 22. Let w(q) = -1. Let y(c) = p(c) - 6*w(c). Let d(v) = -14. Let z(a) = -7*d(a) - 3*y(a). What is the derivative of z(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0848785 micrograms in tonnes?\nAnswer: 0.0000000000000848785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 1546*s + 4759. Calculate the remainder when 772 is divided by t(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rarc when four letters picked without replacement from kanbcrr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-140))\/((-6)\/(-65))*(4266\/(-81) + 46)?\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**5 - 54*s**4 - 119*s**3 + 396*s**2 - 224*s = 0.\nAnswer: -4, 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-243)\/66 + 20\/(-40)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 344*j**3 - 5*j**2 - 2*j - 3. Let u be k(-4). Let d = 4595 - u. Let c = -49686 + d. What is c rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 533*o - 538*o = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 515885887*a**5 + 17250278*a**2 - 13*a wrt a.\nAnswer: 30953153220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 38 + 470. Let t be ((-8)\/(-6))\/(5\/(-585)*-3). Suppose 4 = j - 2*f, 2*f + t - 12 = 4*j. What is the greatest common divisor of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*i*y**4 + 1496781*i*y**3 - 78983*i*y**2 - 9*i wrt y?\nAnswer: 168*i*y + 8980686*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2010 + 2002. What is the second smallest value in j, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 2*d + 5. Let f be h(0). Suppose f*y - 151 = 99. Let w = y - 12. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 13212467?\nAnswer: 13212472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 361, 364, 369, 376, 385, 396?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 14 + -5 + (12 - 3) + -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 76, -448, -1544, -3194, -5380, -8084, -11288, -14974?\n\"Answer: 3*k**3 - 304*k**2 + 367*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 23*i**3 - 12*i**4 - 2*i**3 - 13*i**3 + 8*i**2 + 4*i**5 - 12*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13965 or 13966?\nAnswer: 13966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 15*c + 9 = 0. Suppose -3*n = c*n - 18. Find the first derivative of -8*f**4 + n*f**3 + 6 - 7*f**4 - 3*f**3 wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*k**2 + 9*k + 57*k**2 - 10*k**3 - 8*k**3.\nAnswer: -18*k**3 - 18*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 = d - 2, -4*g - 2*d - 16 = 0. Let u = g - -6. 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 the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ny when two letters picked without replacement from zyn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, n: 1, o: 4}. Give prob of sequence onpp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 294853387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 867*s - 9558 = 101*s + 2698 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-9*((-332)\/84 - -4)) - 2?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -77*j**2. Let c(y) = -y. Determine o(c(a)).\nAnswer: -77*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16797, -0.5, -38\/5?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (20\/8 - 2)*9. Let z = -0.2445 + -0.0555. What is the nearest to 0.1 in 2, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*a + 25*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26003.36372 rounded to the nearest integer?\nAnswer: 26003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**3 - 2*v**2 + 5*v. Let m(i) = -3*i + 2. Let k(p) = 7*m(p) + 3*q(p). Differentiate k(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 1\/15*o**6 + 0*o**2 - 4\/15*o**3 + 0*o - 5 - 1\/10*o**4 + 4\/25*o**5. Suppose p(s) = 0. Calculate s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 + 2*o**2 - 3*o**2 + 3*o**3 + (2*o - 3*o + 4*o)*(7*o**2 + o**2 + 2*o**2).\nAnswer: 31*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(2\/14))\/((120\/10)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-15)\/10*(-4)\/33. Which is the second smallest value?  (a) -0.4  (b) 5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-24)\/(-3) + -10)*(-1 - 0). Let o(a) = -a**l + 2*a**2 + 87*a + 1 - 45*a - 41*a. Let r(f) = 3*f**2 + 5*f + 6. Determine 5*o(s) - r(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 97*h - 10. Let l(g) = 2*g**2. Give k(l(b)).\nAnswer: -4*b**4 - 194*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39\/4 + 25\/12. Let m = 7 + v. Let b = -11.3 - -11. Put b, m, 4 in increasing order.\nAnswer: m, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10564, -10569, -10574, -10579, -10584?\n\"Answer: -5*h - 10559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199102 is divided by 4057?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9296810 is divided by 58105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1 + sqrt(252)*2 - (-1 + sqrt(252))*-6 - (-2*sqrt(112)*6 + -2))*-5)**2.\nAnswer: -18240*sqrt(7) + 1613161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 242 and 1056.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -17222  (b) 6\/19  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5054 - 18794 = -10*z. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 4) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 2*q**3 - 5*q**2 + q - 3. Let p be v(-15). Let z be p\/10 + 0 + 8\/20. What is z rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, x: 9, s: 6, c: 2}. What is prob of picking 1 c, 2 x, and 1 h?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -63 - 203?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, -2\/37, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 109480 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -109*p + 9. Let n(v) = 300*v - 25. Let d(x) = -11*i(x) - 4*n(x). Let g(a) = 6*a - 6. Give 5*d(c) + g(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g**2 + 971*g + 2315. Determine j(141).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*d = 83*d + 24 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -158, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 342632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10\/9?  (a) 4  (b) -0.4  (c) -5.7  (d) -259\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -266 + 266 - 10*v**3 + v**2 wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75519.\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 15*m + 7. Let t(x) = 7*x + 3. Calculate 2*s(q) - 5*t(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31018, -31013, -31010, -31009, -31010?\n\"Answer: -s**2 + 8*s - 31025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**16)**26 assuming n is positive.\nAnswer: n**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 986833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 33 - 0. Put r, -6, 4, -3 in decreasing order.\nAnswer: 4, -3, -6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 58\/(-4) - (-3)\/(-6). Let z = v + 21. Calculate the remainder when 62\/z + 18\/27 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + ((-28)\/8)\/(11\/(-22)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1719780 and 26910.\nAnswer: 1542642660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228*b - 227*b = 16331. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let u = 0.389 - 0.456. Let t = u - -0.367. What is the smallest value in q, 4\/5, 1, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 + 0*i**2 - 2*i**2)*(-i**2 + 4*i - i**2 - 3*i).\nAnswer: -2*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2.3+161722.14\nAnswer: 161724.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 15*g**2 + 3*g - 19. Determine u(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18094 + 18094. Let w(z) be the third derivative of -13\/12*z**4 + 0 + z**3 + 2*z**2 + v*z. Find the first derivative of w(h) wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*j**3 + 36*j**2 - 18*j**2 - 1 - 16*j**2 in the form t + g*j**2 + y*j**3 + s*j and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10229 in 3, -24, -10\/3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-392)*6\/(9*12)*7.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 4:42 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2. Let z(k) = -k. Let l(q) = 4*q. Let n(d) = l(d) + 3*z(d). What is r(n(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 + 14*x + 18. Suppose 3*v + 11 = -16. Let c be s(v). Suppose -b - 11 = -c. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/((k*(k*k**14)\/k)\/k)*k*k*k**(-2\/17))**(-3\/7))**(-23) assuming k is positive.\nAnswer: k**(-11868\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i**2. Let m(p) = -16569*p**2 + 38613*p**2 - 15020*p**2. What is m(f(w))?\nAnswer: 112384*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of w**5\/20 + w**4\/24 - w**3\/3 - 1. Let l(s) be the third derivative of k(s). What is the derivative of l(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 6 + -5 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (14484 + 7153 + 29598 + 25768 - 11493 - 4612)*(4*f - 4*f - 2*f) as z + p*f and give p.\nAnswer: -121796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0847 + -0.6153. What is the closest to -1\/2 in x, 12\/59, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 9) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 4*z - 3*v, -5*z = 2*v + v - 16. Let a be 1\/(3*z\/60). Solve 8*u = a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence geee when four letters picked without replacement from {e: 6, g: 4, l: 4}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 12:18 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*r)*(1 + 3 - 6)*((0 + 0 + 1)*(0*r + r - 2*r) + 0*r + r - 3*r + 6*r + 11*r - 19*r + 6).\nAnswer: -30*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 5*u = -2*r - 2730, -1086 = -2*r - u. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163094?\nAnswer: 2, 81547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (((-1677)\/(-6))\/13)\/(1624\/(-464))\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15799 and 88023.\nAnswer: 616161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34530*v - 69*v**3 + 34530*v)*(2*v + v - 4*v).\nAnswer: 69*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -6*a**2 + 2*a - 3. Let d(b) = -13*b**2 + 5*b - 7. Let x(f) = -4*d(f) + 9*v(f). Let m be x(1). Is 1145 + (-6)\/m*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/5)\/c*c*c**(-3\/7)*(c**1)**(-47))**(-2\/15) assuming c is positive.\nAnswer: c**(3292\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**3\/3 + 37*x**2\/3 + 112*x + 300 = 0.\nAnswer: -25, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 5*l = -18. What is the third derivative of 4*g - 17*g**l + 12*g**2 + 7*g**6 - 4*g wrt g?\nAnswer: -1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*k + 26*k + 14 + 31 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63465 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 133037541 to the power of 1\/2, to the nearest integer?\nAnswer: 11534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 4*w**2 - 6*w + 7. Let r be f(5). What are the prime factors of (r - (-6)\/(-4))*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 479 = -5*u. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 5*t**2 - 6*t - 10. What are the prime factors of s(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 737 - 160. Let t = 577 - p. Which is greater: -3\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 6*h**2 + 6*h. Let z be n(5). Suppose 0 = -z*j + 2*j. Let s(m) = 2*m - 8. Let l be s(4). Is l < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.7521272m?\nAnswer: 752127.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(72)\/sqrt(6) + (sqrt(3) - sqrt(12)\/sqrt(4))**2*2.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -12905*f**2. Let r(a) = -1039*a. Calculate r(w(y)).\nAnswer: 13408295*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2178 - 2174. Let m(p) be the second derivative of 0 + 7\/12*p**4 + 13\/6*p**3 + 0*p**2 + t*p. Find the second derivative of m(s) wrt s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -52 - -50. Which is the fourth biggest value?  (a) 4  (b) 0  (c) 0.4  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (7 - 6838\/325)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11076883, -22153764, -33230645, -44307526, -55384407, -66461288?\n\"Answer: -11076881*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) 20  (c) 9  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 14*v**4\/3 - v**3\/2 + 3*v**2\/2 - 18*v. Suppose 0 = -3*n - b - 15, -4*n - 4 = 2*b - 6*b. Is y(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(18) + -1*sqrt(18) - sqrt(18)).\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 125.56 + -127.56. Which is the nearest to 4?  (a) v  (b) 3\/4  (c) 0.7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4*j + 11. What is k(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 11, d: 4, m: 1, y: 1, k: 1}. What is prob of picking 1 y, 1 k, and 2 h?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*m - 59 - 127. Solve -m = 113*l - 111*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-64)\/(-24))\/((-2)\/3). Let q(b) = -2*b + 14. Let t be q(8). Sort z, 2, t, 13 in ascending order.\nAnswer: z, t, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*c = 2, -5*c + 5 = s - 3*c. Solve 0 = -b + 5, -b = s*a - 0*b + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5946.03 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2732.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 2*s - 22. List the prime factors of d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 11 - 7 + 63*b - 108*b + 4 - 1.\nAnswer: -45*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 3*y = 159, -o + 2*y + 3*y = -45. Suppose 5*j + 0*j - o = 0. Calculate the common denominator of -113\/18 and ((-34)\/32)\/(j\/(-40)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/11  (b) 8  (c) -20.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 13) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26532\/(-36)*(1 + -2).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*p + 2 = 0. Let d be 6\/(-1 + (p - -1)). Factor 4*s**3 + 4*s**4 + 2*s**5 - 2*s**d - 2*s**3 - 4*s**2 - 2*s.\nAnswer: 2*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-385 - 81 - 47)*(-5*s - 24*s - 14*s).\nAnswer: 22059*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37806619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 2965 - 5 = 0. Is b a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v. Let c(o) be the first derivative of -77*o**2\/2 - 17*o + 57. Let y(d) = 13*d + 3. Let s(z) = 6*c(z) + 34*y(z). What is s(k(u))?\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 268 = 8*q + 4*n, 3*q - 402 = 4*n. Suppose -q = -2*w + 4*i, -31 + 21 = -5*i. Sort -5, w, -2, 1.\nAnswer: -5, -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 11*b**2 - 9*b - 9. Let n be w(-1). Let g(p) = 8*p + n*p - 27*p + 4*p. Let j(c) = -13*c**2 + 2*c. Calculate g(j(y)).\nAnswer: 52*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12876331122 - -0.4.\nAnswer: 12876331122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -1\/229 - 20379\/458. Let x = 3 + -1. Calculate the common denominator of (83\/9)\/(x\/(-3)) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*q + q = -2714, -q + 4064 = 3*d. Let f = 5582 + -2727. Let m = d - f. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 7. Let t(s) = -s**2 - 1. Let k(g) = g**2 + 6. What is a*t(c) - k(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + 9*f**2\/2 - 8*f - 4. What is the remainder when 39 is divided by x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1601400881, -1601400883, -1601400885, -1601400887?\n\"Answer: -2*p - 1601400879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f - 25794. Let k(b) = -2*b**2. What is u(k(c))?\nAnswer: 4*c**2 - 25794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 6*h + 2. Let y be s(-3). Let r = y - -30. What is the third derivative of 13*i**4 - r*i**6 + 16*i**4 - 13*i**2 - 29*i**4 wrt i?\nAnswer: -2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -0.89  (c) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000007311577 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.13 + -0.13. Let g = -9 + r. Let k = -0.13 + 0.03. Which is the closest to g?  (a) -3\/2  (b) k  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1674*t - 483 = 1653*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 214805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 190 and 3526286?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34946586*a**2 + 2*a - 848617 wrt a?\nAnswer: 69893172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/7 in 1\/3, 1\/5, 7, 2763, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3 + 11*p**2 - 6*p**3 - 5*p**2 + 7*p**3 - 6*p. Let v be l(-7). Let z(k) = -7*k - 3. Is z(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -74*w + 3374. Determine v(116).\nAnswer: -5210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 15 - 7, 0 = 5*q + c - 39. What is the remainder when 111 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from zzzyzzzyzyzzzy?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -178 and -146.\nAnswer: 25988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, -0.2, 1, 17, 0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2268, -2776, -3286, -3798, -4312?\n\"Answer: -g**2 - 505*g - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 7. Find the third derivative of -3*p**2 + 6*p**x - 5*p + 5*p wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-160)\/(-110))\/4*(-1)\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.3, 1, -1\/11 in decreasing order.\nAnswer: 2, 1, 0.3, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 5 - 1, -4*b - 3*f + 28 = -7*f for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9568 - -0.9567571. What is h rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 1 - -3 - (-13 + 8 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 + 13*w**2 - 24*w. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 202 (base 3) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12502)\/70)\/19)\/((-6)\/(-15))*(-4)\/(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1643?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -130 - -134. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 12:04 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 + -38. Let y(a) be the third derivative of 1\/280*a**7 + 0*a**5 + 0 + w*a**3 + 0*a - 1\/240*a**6 + 0*a**4 - 3*a**2. Factor y(b).\nAnswer: b**3*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15152074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 - -4. Differentiate c*a**2 - 51*a**2 + 5 + 38*a**2 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*2\/(-1) + 2. Suppose -14 = -g*t + 2. Suppose 24 = -t*i + 8*i. Solve -2*s + i = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - 3*w - 5. Let i = 15 + -5. Let z = 15 - i. Calculate u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 80248879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**6\/660 - 2*r**5\/165 - 5*r**4\/132 - 2*r**3\/33 + 23*r**2 + 5*r. Determine s, given that g(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.016332 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 17. Suppose -n + v = -3*n. List the prime factors of (45 + 3)\/((-15)\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**2. Let f(w) be the first derivative of -w**2\/2 + 4. Determine f(q(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2599 and 529292?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 288*y**2 - y + 1. Let x be g(1). Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/2 and 77\/944.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -187*t**5 + 15*t**4 + 2 + 382*t**5 + 128*t - 188*t**5 wrt t.\nAnswer: 140*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 586*p + 1. Let l(n) = -361*n**2. Calculate w(l(i)).\nAnswer: -211546*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j - 10*j**2 + 4*j**2 + 8*j**2 - 2. Let n(v) = 22*v - 12. Let k(y) = 7*y - 4. Let b(h) = 16*k(h) - 5*n(h). Let c be b(3). Give g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*k + 189*k + 266*k.\nAnswer: 324*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, -611, 23, 0, -0.03.\nAnswer: -611, -0.03, 0, 23, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iyiiyaeaixxiiaa. Give prob of picking 1 e, 2 x, and 1 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -2*l**3\/3 - 5*l**2 - 4*l. Let a(o) = -23*o - 22*o + 46*o. Determine a(g(x)).\nAnswer: -4*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/11, -1, -1895\/7, -7\/2, 4, -0.08?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2528960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2520)\/(-1092)*(-21)\/42?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(1216) - -6*(sqrt(1216) - (sqrt(1216) + 0)))*4 + (sqrt(1216) - (1 + sqrt(1216))) + 0 + 4)**2.\nAnswer: -116790 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 68702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2148358\/15 <= -143224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 4\/13  (b) -0.1  (c) 3  (d) 9  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121 - 116. Let b = 0.13 - 11.13. Sort t, 1, b in ascending order.\nAnswer: b, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 60 + 45 = -3*n + y, -n - 9*y = 43 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 300951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7357 is divided by 2448?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.41 + -0.01. Suppose 0 = -6*x - 112 - 164. Let b be x\/(-70) + (-12)\/(-84). What is the third smallest value in n, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 1391116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 100457823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41460010 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -8\/15*v**3 + 3*v - 2*v**2 + 0 + 1\/15*v**4. Factor c(j).\nAnswer: 4*(j - 5)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -9*w + 4*w + 25, 3*w - 4*q - 1 = 0. Suppose 3*a + 24542 = 5*n, -a = 2*a - w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/8 + 1305\/(-696)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 724392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {n: 1, t: 1, f: 3, w: 3, v: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.746631062 - 8.79103. Let q = s - -0.0444. What is q rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 7*r**2 - 9*r - 13. Let a be q(-8). Is 5\/6 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3*h - 11 = 2*h, 3*h + 6 = p. Suppose p*m - t - 23 = 0, -4*m - 4 = 5*t - 3. Solve -a = 2*k, 2*k + 4 = 3*a + m*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 877*u = -873*u + 22, -37*n + 4*u = -127 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -395958+-10876.2\nAnswer: -406834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + x - 245 = -244, -5*x + 15 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 500, 2252, 5254, 9506, 15008, 21760?\nAnswer: 29762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-156)\/(-15))\/((-23)\/(-115)). Suppose 44051 = p*m - 21*m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13372*s - 7630.\nAnswer: 13372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 810.7259mg in tonnes?\nAnswer: 0.0000008107259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1861 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230 = 29*g + 17*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12871495 divided by -4?\nAnswer: 12871495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 (base 14) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -19*k + 45. What is s(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14507*j**2 + 72500*j**2 - 14511*j**2 - 14518*j**2 - 14451*j**2 - 14515*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 0 - (-1 + 11 + (106 - 90))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44 - -48. Let o be f\/(-26) - (-1593)\/(-39). Let z = 46 + o. Sort 1\/6, z, 1\/3.\nAnswer: 1\/6, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -27480 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 4:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -337*o - 273. Let m(j) = 225*j + 182. Let d(b) = 8*m(b) + 5*v(b). What is the first derivative of d(w) wrt w?\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + 102. Give t(-10).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5915753?\nAnswer: 59, 100267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/437536 and 81\/2662?\nAnswer: 4812896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-33)\/k))**(-18)*k**(-37)\/((k\/k**(-7\/2))\/k*k) assuming k is positive.\nAnswer: k**(-1343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 6) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*z - 26 = b + 361*z, -3 = 3*b - 4*z - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - (-59 - -20) - (-7 + (-8 - -3) + 2).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c + 25. Let k be q(11). Let z be ((-2)\/4)\/(k\/(-16)). Let t(f) = f**3 + 2*f + 1. Calculate t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -362659.\nAnswer: -362660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1487.5 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i - 11. Suppose -20 = -5*t - 3*r, 3*r - 10 = 5*t - 0*r. Let n = t + -1. Give k(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -166 - 66 - -211 - (1 - -64)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 1 + 3 - 43*j.\nAnswer: -43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 4*t = 11818848 - 11818728, 3*u + 4*t - 112 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 4 = -5*g. Solve -v = g*v + 4*a + 5, 11 = -3*v + 2*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - -7) + 0 + -2. Suppose x - 10 = 4*l + 2, -o*l = 10. Suppose 0 = 5*z - 21 - x. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*q - 3*n - 63, -5*q - 2231*n = -2239*n + 107 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/3570892 and 53\/8927230.\nAnswer: 17854460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((2\/(-8))\/(9\/4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 369, 724, 1089, 1470, 1873, 2304, 2769?\n\"Answer: l**3 - l**2 + 351*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 61 = -5*m - 24, 0 = 4*y + m + 129. Let z = y + 15. Let l = z - -26. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -5 and -1.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**3 - 27*o**2 + 31*o + 15. Let k(p) = 5*p**3 + 40*p**2 - 46*p - 23. Let j(a) = 5*k(a) + 8*n(a). What is the tens digit of j(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -969 - -968.95. Which is the third biggest value?  (a) 5\/3  (b) n  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2022, -4046, -6072, -8100?\nAnswer: -10130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27651206203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = -9*s + 220. Solve s*f = 40*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -6*q - 2. Let f(t) = t + 9. What is f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 479, 474, 467, 458?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + 10. Let a(j) = 18*j - b*j + 1 - 2. Let n(l) = -15*l - 6. Let o(z) = -6*a(z) + n(z). Let s(h) = -h**2. What is s(o(x))?\nAnswer: -441*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -78 + -27?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 260 - -702?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6828593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - 2 - 24\/(-10). Does q = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + a + 1. Let y(i) = -i**3 + 2*i**2 + 5*i + 15. Let k(t) = -6*r(t) + y(t). Let n be k(8). Let c be (1\/3*(-2 - n))\/1. Is -8 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 - ((-1 - 1) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -902 + 752 - (6 + -20 + -4)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1373 + 4?\nAnswer: -1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(385)\/(-2*sqrt(7)) - sqrt(220)\/((sqrt(8)\/sqrt(2) - sqrt(4)) + sqrt(4)))\/(-3*(sqrt(99)\/sqrt(81) - sqrt(11))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0013054 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -921*q - 1072*q = -16330 - 45453 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q = -18*q - 4. Let m(i) = 0*i + 5 + 0*i + 2*i**2. Is m(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 236*p**2 + 239*p**2 - 36*p - 492*p**2.\nAnswer: -17*p**2 - 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26750 and 106679?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 5*w + 5. Let t be z(-2). Suppose -t*x - 5 = -14. Suppose u = x*d - 8 - 15, 26 = 3*d + 2*u. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 - -16. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbdbbbbbb. Give prob of sequence bdb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-4)*o)\/o**2)**(2\/25)\/((o**(-1\/4)*o\/(o*o**(-2)*o))\/(o\/o**(-2\/7)*o**(1\/5))) assuming o is positive.\nAnswer: o**(739\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-1\/2)\/o))**(-26\/3)\/(o*o*o\/((o**(2\/15)*o)\/o)*o**7) assuming o is positive.\nAnswer: o**(-473\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r + 2*r**3 + r**3 + r**3.\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (x + 0*x - 2*x + (-3 + 0 + 2)*(x + 1 - 1) - x + 2 - 2)*(2 + 2 - 3) to the form h + v*x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l - 1. Let f(s) = -s. Let q(o) = -13*f(o) + 6*u(o). Suppose -2*t - 18 = 2*a, 4*t = 3*t - 3. Is q(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 - 2813*v**2 + 11239*v - 8427.\nAnswer: (v - 2809)*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.3223 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r - 4*r**3 + r + 46*r**3.\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-6) - (-6 - -7))*-6. Let r(d) = -5*d. Let q(t) = -t - 1. Give w*q(h) + r(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -13. Let y be (-1 + (s - -2))\/1. Suppose -a - 3*a - 4800000 = y. What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + (-1 - -2))*-1. Let d = -550\/3 - -185. Let h = d + -23\/12. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1154202 is divided by 2403?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -59*k**8\/336 + k**6\/3 - k**5\/30 + 1549*k**4\/24 + 2324*k**2. Find the third derivative of r(f) wrt f.\nAnswer: -3540*f**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 29 - 91. Suppose -5*u - 3*r - r + q = 0, -2*u - 4*r + 12 = 0. Suppose u*g - 78 = -5*y + 63, y - 26 = -3*g. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p + 146 = -319. Solve -34*k + p*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-20)*(-7 + 2). Let z be (36\/81)\/((-1)\/(-6)). Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/(-5) + 36\/(-60). Let b be 2 + 2*1\/2. Find the second derivative of -d + b*d**3 + 4*d**h - 4*d**3 wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3379, -26672, -89789, -212638, -415127?\nAnswer: -717164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -70708, -70711, -70714, -70717, -70720?\n\"Answer: -3*v - 70705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 6*i**2 - 6*i - 9. Let h be n(7). Let u = 21 + h. Calculate the remainder when 55 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-75))\/(20128\/15725)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 0*y - 2255 = -5*y, -4*y = 2*m + 896. Let j(g) = g**3 - 177*g**2 + 3798*g + 49. Let u be j(25). Which is bigger: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10546.3798 - 10545. Let f = 4.5992 + q. Let o = 0.021 + f. Which is the second smallest value?  (a) 2  (b) -2\/13  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + r + 5. Let w = 29 + -27. Let d(f) = 3*f**2 + f**2 - 2*f**2 - 4 - 3*f**2. Determine w*m(z) + 3*d(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*a + 60*a + 16*a = 974168. What are the prime factors of a?\nAnswer: 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 1406 = a + 2*n, n - 1756 = -5*a. Let w(u) = u**3 + 155*u**2 - 796*u - 7. Let f be w(5). What is the greatest common divisor of f and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 0 - -1) + 5 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/15 - (-4)\/(-10). Let h be w + (-1 - (-1 + 1)). Let d = 3 + h. Let u(t) = t - 3. Determine u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1699 divided by 117\nAnswer: 1699\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*x**2 + 18*x**2 + x**3 - 3*x**3 + 11*x**2 in the form z*x**3 + w*x**2 + h*x + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 3*d = 7, -194*b + 3*d - 5 = -189*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f + 3*f**2 - f**2 - f + 89877 + 0*f**2 + 2929.\nAnswer: 2*f**2 + 2*f + 92806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 2:51 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -31.5. Let l = 2.499978 + a. What is l rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3886 divided by -67\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 1 = 16. Suppose 3*s = 3*b - 4*b + 3, -9 = i*s - 3*b. Suppose 3*t - 51 = -s*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 9, j: 5}. Give prob of picking 4 j.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5 - 1 = 0. Suppose 0*j = 3*j - 36. List the prime factors of j + -1*(n + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 128.16 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(3) - (sqrt(3) + 1)) + 5 + sqrt(48)*-1))**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*y - 1771 = 31*y - 21967. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(-3*sqrt(968) - sqrt(8)).\nAnswer: -sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457238389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-1)\/(-1))\/((-2)\/(-14)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(((-42)\/(-2303))\/6) + 5 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57 (base 12) to base 8.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 4 + 4)*(0*w + 3*w - 2*w)*(-4*w + 3*w + 3*w) - 6*w**2 - 2*w + 7*w**2 + 5*w)*(-2 - 4 + 1).\nAnswer: 15*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/(-1) + (-2 - -2). Let z be ((-6)\/4)\/((-84)\/i). Which is the smallest value?  (a) z  (b) -5  (c) 0.3  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2)\/(-8 + 3325\/415). Is w != 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-121 - (3 + -66)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2217\/5 + -443. Find c, given that -m*c**2 + 8\/5*c - 8\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -12*m + 81. Let n be d(3). Let o = 23 - 5. What is the greatest common divisor of n and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.028?  (a) -0.6  (b) 17  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1175541.\nAnswer: 3, 391847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -v**3\/3 + 5*v**2 - 2*v + 2141. Calculate n(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 4:40 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 501559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*5*(-2 + sqrt(88)\/(sqrt(24)\/sqrt(3)) + (-4 + sqrt(11) + -1 + sqrt(11) - sqrt(11)))**2 + -2.\nAnswer: -1397 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -441, -10, 515 in decreasing order.\nAnswer: 515, 0, -10, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35114129?\nAnswer: 17, 1367, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/23  (b) -1  (c) -3\/3185603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38.8*-20747.\nAnswer: 804983.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -10, -6, -1, 3, 80, -5.\nAnswer: -10, -6, -5, -3, -1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-4)*x*x)**(-43) assuming x is positive.\nAnswer: x**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78 (base 12) to base 3.\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 51 + -35 + -37*2\/38.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9269?\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 209952355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 129583741.\nAnswer: 4\/129583741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 0*f**5 - 5*f**2 + 0*f**4 - 5 + 0*f - 7\/3*f**6 + 0*f**3. Find the second derivative of k(h) wrt h.\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -37, -78, -123, -166, -201?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66616249 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -324790 by -64958.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.369 - 1784115.\nAnswer: -1784114.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 576 and 240192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10785, -3, 0.5 in ascending order.\nAnswer: -10785, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 18 = -22. Let o = v - -14. Solve -o = -3*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(102) + sqrt(102))*-4*-1)\/(sqrt(24)\/sqrt(64) - -6*sqrt(12)\/sqrt(2)).\nAnswer: 64*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -4770.\nAnswer: -2\/2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 10:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 469324781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5967193, -5967192, -5967191, -5967190, -5967189, -5967188?\nAnswer: -5967187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -799*p + 7372. Let n be g(9). Which is the second biggest value?  (a) 0.07  (b) -0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7677396 is divided by 590568?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 104403005 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a**2 - 7*a - 8. Let w be x(-12). Let u = -247 - w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 240, 226, 202, 168, 124?\n\"Answer: -5*u**2 + u + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxuuxux. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*(20687*o - 32433*o + 16738*o).\nAnswer: -9984*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 4 + 14)*(-7*f**2 + 0*f**2 - 3*f**2 + (0 - 1 + 2)*(2*f**2 + 3*f**2 - 4*f**2)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 2:22 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -5*r**2 + 2*r + 5. Let m(v) = 5*v**2 - 19*v + 8. Let u be m(3). Let j(h) = 4*h**2 - 2*h - 4. What is u*j(o) - 3*w(o)?\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 15*h + 18. What is r(15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2295738 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r - 8. Let h be j(-6). Solve 0 = 3*s - 15, 18 = -h*n - 0*s + 2*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 5:20 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9169 and 6055?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 - -47. Let p = y + 10. Solve 5*g - p = 7*m - 2*m, -6 = -3*g - m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*r**3 + 55*r**3 - 363*r**3 + 48*r**3 + 74*r**3 + 76*r**3.\nAnswer: -69*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 244 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275901 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 1.7997.\nAnswer: -0.35994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*x = n + 7, -20 = 5*x. Suppose -n*i + 39 = -24. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -39. Suppose c + 5*h = 2*c - u, 5*c - 3*h - 77 = 0. Let s = c - 1. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.28 + 25.38. Let a = 21.09913 - h. What is a rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 132 + -1722\/13. Suppose 147*b - 148*b - 7 = 3*r, 0 = -3*r + 2*b + 5. Is a >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -50*o + 46*o. Suppose -17 = 4*g - o*u, g + 3*u - u - 4 = 0. What is the tens digit of (-9)\/((-27)\/(-6))*129\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 + -24. Suppose -30 = k - j*k. Suppose p = -k*p + 147. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, f: 5, s: 3, e: 3}. What is prob of sequence fs?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 20. Let x(w) = 5*w. Determine s(x(j)).\nAnswer: -25*j**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*b**2*r**3 - 22122*b**2*r**2 + b*r**2 - 2*b - 893849*r**3 + 3*r**2 - 3 wrt r?\nAnswer: -114*b**2 - 5363094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 10  (c) 0.5  (d) -0.1  (e) 1\/9  (f) 1125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 3 - -3) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1574 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - p + 3*p)*((10*p**3 + 7*p**3 - 11*p**3)*(-4*p + p + 2*p) + p**4 + 2*p**4 - 5*p**4).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 1 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/4, 4\/7, 1\/4, 2\/11, -2001250.1, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2319 by 3372.\nAnswer: -773\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 7*g - 3. Suppose 2*z = 7*z - 10. Suppose -z*p = -5*x - 29, 20 = -5*x - 2*p + 7*p. Calculate t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1452 in 3, 11.9, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -590 greater than -590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -263 + 383. Let b be (9 - -3) + 4 + -1. Calculate the highest common factor of m and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 5*u - 2682, 0*u + 2*u + 677 = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 8 = 4*n, -62*g - 5*n = -65*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -12. Suppose -y = -5*p + 8. Let o(t) = t**3 - 4*t**2 + t - 2. Let v be o(p). Which is bigger: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -262\/2783637?\nAnswer: -262\/2783637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -115.08024 + -26?\nAnswer: -141.08024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1656 and 41993496?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - 3*y + 5*y)*(-18*y + 2*y - 9*y)*(y**3 - 5*y**3 - 2*y**3 + 8*y**3).\nAnswer: -50*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -4  (c) 58\/67  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9, 22, 43, 72, 109, 154?\n\"Answer: 4*l**2 + l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-8))\/((-15)\/(-620)). Solve -11*n - a = -9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -15*k. Let s be ((-208)\/(-5))\/(-4)*-5. Let p(j) = -16*j**2 - 26*j. Let c(a) = 2*a**2 + 3*a. Let h(z) = s*c(z) + 6*p(z). Calculate l(h(o)).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -a2336?\nAnswer: a2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 4) + 2 - -1 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -27*k**3 + k**2 - k - 1. Suppose 27971 = -796*z + 119595 + 39716. What is the remainder when z is divided by b(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 79 - -2?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 203194 and 27168?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and -10.7.\nAnswer: -0.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 0 - 1 + 7 + 6*h. Calculate the remainder when 71 is divided by w(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55787, 55785, 55783?\nAnswer: 55781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -321  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46602 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6800)\/1600 + 1*1\/4. Suppose 5*s - 2*l - 2 = 0, 5*l + 2 = 4*s + 3*l. Sort s, 4, q, 0.6 in increasing order.\nAnswer: q, s, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7 - 1) + (4 - 6). Suppose w + 5*b = 3*w - 37, 5*b + 49 = z*w. Suppose -d + w = 5*d. Solve d = -v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 4. Let o be 4\/10*30\/24*4. Suppose -3*q - 33 = 4*b, -b + 2 = -q - 2. Sort o, q, a.\nAnswer: q, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/18)\/(565\/5085)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -3459645, 0.3, -0.3 in decreasing order.\nAnswer: 0.5, 0.3, -0.3, -3459645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*5\/(-20)*-19 + -4. Let l(s) be the first derivative of 0*s**3 + s - 3 + 0*s**2 + r*s**4. Differentiate l(t) with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23795 - 9*d - 343*d + 11911 + 11899)*(-5*d**2 + 3*d**2 + 3*d**2).\nAnswer: -352*d**3 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -3, 2 in decreasing order.\nAnswer: 33, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**3\/19 + 28*r**2\/19 + 62*r\/19 + 32\/19 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j**3 - 694*j**2 - 323*j**2 + 1021*j**2.\nAnswer: 7*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, u: 3, m: 1, w: 5}. Give prob of picking 1 u, 1 m, 1 d, and 1 w.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 16*r**2 - 22*r - 34. Calculate y(14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 325, 327, 329, 331, 333?\n\"Answer: 2*z + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239300?\nAnswer: 2, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 114\/21 - 9\/21. Suppose -g*i = -10, 2*i + 14 = -5*y + 3. Let v(x) be the second derivative of -x**3\/6 - 3*x**2\/2 + 2*x. Calculate v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -4306a9?\nAnswer: 4306ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 367102121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + sqrt(18) + sqrt(18) + (sqrt(18) - sqrt(72)))\/sqrt(9) + ((sqrt(2) + -1*sqrt(2))*-2)**2 + sqrt(2) - (-3*sqrt(2)*-3 + 4)**2.\nAnswer: -178 - 69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o + 79 + 80 + 107 - 263. Let w = 4 + 0. Suppose 0 = w*v - 4 + 12. Give q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11957436 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1074 + 3?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 16*c**2 + c + 9. Suppose 5*n - 3*n + 10 = -m, m = n - 19. Let v be h(m). Let g = -1 - 0. What is the biggest value in 4, v, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -22. Suppose 0 = -7*o + k*o - 37. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, l: 3, h: 4}. Give prob of sequence hrll.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 820602 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -213 - -267. Sort 2\/7, -4, w in descending order.\nAnswer: w, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5*p. Let t be u(1). Suppose -4*s + 3 - 16 = -t*r, -r = 5*s - 20. Suppose -s*d = 9 + 6. Which is the smallest value?  (a) 0.5  (b) d  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-27)\/(-108) - (-223)\/4. Is ((-23)\/2 + 2)\/((-4)\/o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**3 + u**2 - 3*u + 1. Let z be q(1). Let h = -5.6 - -6. What is the closest to 0.1 in -5, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6652, 13298, 19944, 26590?\nAnswer: 33236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*w + 11534 = -1059*w + 9072 - 65786 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/532644 and 2\/2499.\nAnswer: 3728508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 312 * 0.5\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.522 - 0.012. Let f = 35.49 + h. Let r = 37 - f. Which is bigger: r or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -3*i**2 - 5*i + 2. Let f be q(-2). Let l(d) = -d**2 + 5*d - 1. Let b be l(2). Solve 0 = -f*o - b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 496\/88*209\/(-38).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.42 * -1979\nAnswer: 831.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 316*r - 21476. Give a(217).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 14 = -n. Let a = n - 2. Solve -w + 0 = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o**2 - 14*o + 5. Let p(a) = -9*a**2 - 38*a + 14. What is -3*p(l) + 8*w(l)?\nAnswer: 3*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 4005?\nAnswer: -4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1197939\/8 or 149741?\nAnswer: 1197939\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - y = 4*x + 12, 3*y = -4*x + 34. Let s be 228\/9*(-3)\/(-2). Let q = 68 - s. Calculate the highest common factor of x and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 8:29 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 17164.48 to the nearest 10.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**4 + 776878*s**3 - 13206456*s**2 + 41949432*s + 55932768 = 0.\nAnswer: -1, 6, 12, 388422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.047334778 minus -666.5?\nAnswer: 666.547334778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vikivkvxixivaavivk. What is prob of picking 1 a and 2 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27432 and 8?\nAnswer: 27432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) -102788  (c) -2\/63  (d) -5  (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4604720327\/1530 - -3009621. Find the common denominator of a and -53\/4.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118685 (base 10) to base 11\nAnswer: -81196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - f. Suppose -3*o - 18 + f = 0. Let z = -6 - o. Put -5, z, -2 in ascending order.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 7*s**2 + 6*s. Let x be m(-6). Let w be 20\/2 - (x - 0). Suppose w = c - 0*c. 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: Let y be (-4)\/14 + 60\/(-84). Is 1\/13 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144 + 23 + (-47 - -68) + -48.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -5  (b) -1  (c) -16.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, w: 1, h: 2, b: 1, f: 2, c: 1}. What is prob of sequence zh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2 - 2*v - 2 + 4. Let n(r) = 2*r + 6. Let k(y) = 2*y + 5. Let d(b) = 5*k(b) - 4*n(b). Suppose -6 = 3*p - 0. What is p*d(a) - 3*l(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 + 42. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 9. Let y be f(-4). Suppose -y*h - 1347 - 653 = 0. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q**2 + 6*q - 4. Let m be f(-3). Let d = 17 - m. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4027 * 0.066432.\nAnswer: 267.521664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*z + 0)*(63 + 124 - 36)*(3 + 3 - 4)*(z - 3*z - 2 + z).\nAnswer: 604*z**2 + 1208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -15  (b) -3\/5  (c) -3  (d) 2\/5  (e) -2\/9  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 2:02 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 92202*r**2*s**3 + 3*r**2*s**2 + 2329970*r**2*s + 913*r*s**3 - s**2 wrt s.\nAnswer: 553212*r**2 + 5478*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -618.86 and 0.25.\nAnswer: -154.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k + 65 = v, -5*v + 53 = 2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 - 565*p - 1150.\nAnswer: 5*(p - 115)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10020 - 100?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.04 - -0.02. Let h = -0.26 + m. What is the second smallest value in h, 3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**2. Let t(i) be the third derivative of 0 + 73*i**2 + 0*i - 49\/12*i**4 + 0*i**3. Give y(t(g)).\nAnswer: 28812*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -924, -925, -926?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/7 - 2990*m\/7 + 5984\/7.\nAnswer: -(m - 2)*(m + 2992)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-8)\/x*x**5)**(-15) assuming x is positive.\nAnswer: x**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 647, 3, -47, 1, -992, -5 in decreasing order.\nAnswer: 647, 3, 1, -5, -47, -992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3\/7 - 4455*j**2\/7 + 4458*j\/7.\nAnswer: -3*j*(j - 1)*(j + 1486)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29534860 and 5906972?\nAnswer: 29534860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*i**3 - 4)*(0 - 2*i**2 + 0) + (i**3 - i**4 - i**3)*(-i - 4*i - 3*i).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ruufrffrfrrrur. What is prob of picking 3 u?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/6, -1\/5, -5, 5 in descending order.\nAnswer: 5, -1\/6, -1\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -37200509 from -8430.5.\nAnswer: 37192078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 3*(-3)\/(-1). Suppose 12 + 16 = 5*x - 3*z, x - l = 5*z. What is the second derivative of 0*i**x - i**3 + i**5 + i**3 - 2*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 6*m - 26. Let u be x(5). Calculate the highest common divisor of u and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10392235 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189310758?\nAnswer: 2, 3, 7, 13, 149, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 1 + -1 + 6\/2. Suppose a*q + 10 = 106. What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**2 + 1392*x - 20228. What is k(15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16254, -16164, -16072, -15978, -15882, -15784?\nAnswer: -15684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5754*p**2 - 34499*p + 155. Determine z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((189\/12)\/9)\/((2\/11)\/(17856\/(-2728))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 193 = i, 5*p - 310 = 2*i - 72. Let o = p - 30. Let x(w) = 6191*w - 6173. Calculate the lowest common multiple of x(1) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -411 - -429. Put 3, 4, o, 2, -4 in ascending order.\nAnswer: -4, 2, 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -232.70942 rounded to zero decimal places?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -0*l - 12. Let o(k) = -59*k**l + 60*k**3 - 1 - 3*k + 2*k**2 - 5*k**2 + 2*k**2. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 16) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -g - 3*g - l, l = -g + 10. Let a be 11 - g\/18*(-1 + 1). Calculate the greatest common factor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10848*r = -292053 - 161025 + 73398 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 89, -1, 2559\/4 in descending order.\nAnswer: 2559\/4, 89, -1","meta":{"dup_signals":{},"source":"comparison__sort_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: Let l = 42.2 + -41.655. Let r = 0.544943 - l. What is r rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*l**2 + 3*l**2 - 5*l**2 + (-3*l + 2*l - 5*l)*(10*l - 3*l - 17*l) to the form z + q*l**2 + j*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1\/7, 1, 0.2, -121, 1\/9, 179 in increasing order.\nAnswer: -121, 1\/9, 1\/7, 0.2, 1, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/2  (b) -2\/11  (c) 4  (d) 22  (e) -8  (f) 0.5  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u**3 - 3*u**2 + 17*u + 20. What is s(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vhn when three letters picked without replacement from {h: 3, b: 1, v: 3, n: 5, s: 5, m: 1}.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -14. Suppose 0 = 2*t + l - 10, 3*t + g*l - 14 = t. Solve t*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1037, 1246, 1455?\n\"Answer: 209*i + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-40)*(-8)\/(-30). Let i(l) be the third derivative of 1\/105*l**7 + w*l**5 + 0*l**3 - 5*l**2 + 0*l + 0*l**4 + 0 - 1\/30*l**6. Factor i(n).\nAnswer: 2*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 8)*(-d + 3*d - d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {e: 1, q: 4, p: 1, h: 4, m: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*c + 215*c = -11. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 3\/469997708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*o - 0*o. Calculate the smallest common multiple of (-15)\/10*(o + -2) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5459 - -6289. Is l <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 5:57 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31769?\nAnswer: 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 4*k - 1310, -2*q - 9*k + 6*k + 872 = 0. Suppose -m = 441 - q. Solve 3*g + 4*a = 2*g - m, -5*g - 5*a = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbk. What is prob of picking 1 k and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 473*b + 419. What is the thousands digit of t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 35*v + 31*v - 34 = 0, 5*b - 2*v = 42. Solve -l + 14 = -4*w - 4*l, b = -3*w - 2*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*q - 11 - 112*q + 3*q - 67*q.\nAnswer: -186*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from ppsssgsppopgsgpsssj?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2041 = 3*a, a - 5*a + k + 2693 = 0. Let o = -345 + a. Let x = o - 76. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*z - z + 4*z)*(13292 - 881*z - 13292).\nAnswer: -881*z**2 + 881*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/7611 or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 535 and 134392.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 61*m**3 + 449 wrt m.\nAnswer: 183*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1232 (base 8) in base 11?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5*k + 1. Let x be -2*7*1\/2. Let s(b) = -4*b - 1 + b - b. Suppose 3*f + 13 = -5. What is f*h(u) + x*s(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1064 - 1?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 85673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/5)\/v*v\/(v\/(v*v**(-3\/14))) assuming v is positive.\nAnswer: v**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 142439 + 20754. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1 - (2\/6)\/(3\/(-171)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9ceac4 + 1?\nAnswer: 9ceac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 69630325 and 885.\nAnswer: 208890975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 4483959324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 1. Let r(o) = -2*o - 7. Let q(f) = -21*i(f) - 3*r(f). Let y(z) = 5*z. What is y(q(b))?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79 + -14. Let k = 65 - o. Which is bigger: k or 2\/107?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14529*z - 1509*z + 4045*z in the form p + f*z and give f.\nAnswer: 17065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 205*k + 34 = 4*w + 207*k, -w - 6*w = -k - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 - 16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/20 - (-32)\/(-5). Let s(m) = -2*m - 9. Let h be s(q). Let v = 11 - 7. Is h greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/6 and -97\/11860722.\nAnswer: 11860722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117538 and 10064?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*q**4 - 38*q - 18*q**3 - 4*q**4 + 588 - 5*q**4 + 666*q + 54*q**2 + 30*q = 0. What is q?\nAnswer: -7, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 120 - 3?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = q + 12388, 6*u + 49522 = -4*q + 7*u. Round q to the nearest one hundred.\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -456 + 3?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 768022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 + 2. Suppose -7 = 4*f + 3*b, f + 5 = 2*b + w. Suppose f*i = -n + i + 14, 5*i = 4*n - 56. Calculate 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 t = 2 + -2. Suppose 2*f - 8 = -4*l, t*l - 5*l = -4*f - 10. Find the third derivative of 7*b**2 - l*b**5 + 2*b**2 - 5*b**2 - b**5 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - x - 1. Let s(p) = -3 - 5 + 4*p**2 - 62*p + 58*p. Let l(a) = -3*a - 12. Let i be l(-5). Let h(b) = i*n(b) + s(b). What is h(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*y + 97*y - 9800028 = -115*y. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-4))\/(1\/(-2)). Suppose 1 = -3*r + 4. Let t = j + r. Is -2 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105123 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 14750983 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**5 - 2*n**2 + 3*n**6 - 22*n**2 + 2*n**6 - 3*n**5 wrt n?\nAnswer: 600*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1139566 is divided by 288?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4098 = 136*y - 1242. Sort y, -3, 4, -1 in decreasing order.\nAnswer: 4, -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 8:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 2\/8360803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/3)\/(-4)*1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -22*v**3 - 126*v**2 + 37*v - 2. Give o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g = -23*g - 378. Let x = g - -126. Which is smaller: x or 2\/245?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, -0.4, 51, -3\/4, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + 9 - (-11 - (3 + -6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -21*d + 17. Let k(i) = 43*i - 38. Give -4*k(m) - 9*s(m).\nAnswer: 17*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express y**2 - 6*y**2 - 12*y**2 as l + s*y + k*y**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**2\/5 - 38*l\/5 + 132\/5 = 0 for l.\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -29\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 119 - 114. Suppose -4*m = -4*p - 1232, -2*m - s*p = 3*m - 1570. What is the remainder when m is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83bd3 (base 14) in base 8?\nAnswer: -1154715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - 10\/(-3))*-129. Suppose -4*d = -k - 102. Suppose 6*r - 161 = -d. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-2)*(3 - 1). Suppose 3*k - b*t - 7 = -2*t, 0 = k - t - 1. Suppose 0 = 4*d - k*h - 133, 0 = d + d + 3*h - 53. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 7*k**4\/24 - k**3 - 3*k**2. Let s(m) = -6*m + 5. Let q(n) = 5*c(n) + 6*s(n). Let j(u) = -3*u**2. Calculate q(j(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 140643968 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 60 - 17 = -7*f, -1719*f - 76 = -3*o + 1730*f - 3450*f for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a*c*j + 127*a*c + 19039*a*j + 2660*c**3*j + 207141*c**3 wrt j.\nAnswer: a*c + 19039*a + 2660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 7*h**2 + 1. Let x be u(7). Which is the nearest to x?  (a) 1\/3  (b) -3\/8  (c) -17  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 15)\/(-2 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**4 - 16 + n**4 - 3*n**2 + 16 + 2*n**3 - 11*n**3 + 3*n to l + h*n + w*n**2 + u*n**3 + s*n**4 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 6. Calculate the common denominator of -63\/16 and (t\/(-16))\/((-2)\/190).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13211.\nAnswer: 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 8, -1.\nAnswer: -3, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2119417 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + f**2 + 3*f - 2. Let n be c(2). Let m = n - 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r + 6. Let p(s) = -s. Let z = -5 - -3. Let v(q) = z*p(q) - c(q). Calculate the remainder when 2 is divided by v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - 48687.61860791.\nAnswer: -48687.11860791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.34186236 to one dp.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -4*s**3\/3 + 9*s**2\/2 + 6*s. Find the first derivative of a(b) wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 551*g - 299451 = 547*g, 598902 = 2*b - 2*g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24\/89 or -1?\nAnswer: 24\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1520*a**2*c**3 - 2*a**2*c**2 + 39*a**2*c - 817*a*c**5 + 2*a + 7*c**2 - 492*c + 1 wrt c?\nAnswer: -9120*a**2 - 49020*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 619980 or 619996?\nAnswer: 619980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-1))**(-36)\/(f**(-2\/9)\/(f*f**(2\/19))))**(-49))**(-29\/5) assuming f is positive.\nAnswer: f**(9070243\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (9 - 1 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/((-14)\/168)*2\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (5\/10)\/((-2)\/(-652)).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 + t**2 + 2*t**2)*(2*t**3 + 0*t**3 + t**3) - 176*t + 176*t - 38*t**5 + (t**3 + 2*t**3 - t**3)*(6*t**2 - 3 + 3).\nAnswer: -32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 614 - -117?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-22)\/6)\/((-296)\/12). Let x = -5653\/444 + v. Calculate the common denominator of x and 37\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 0 + (13 - 16) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 854 = -2*c + 2*b, -5*b = 5 - 0. Let d = -201 - c. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t**4 - 70*t + 184 wrt t.\nAnswer: -12*t**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468094.\nAnswer: 2, 11, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(546\/(-637) - (0 - 35\/41))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (9 - 8)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 14*u**2 - 6*u + 12. Let p(b) = 6*b**2 - b + 6. Let s(g) = 7*g**2 - g + 7. Let y(q) = -6*p(q) + 5*s(q). Let z(a) = t(a) + 12*y(a). Factor z(c).\nAnswer: 2*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 7*w**2 - 9*w - 6. Let r be t(-8). Let u = 15.58 + -15.88. What is the second biggest value in -2, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3959903753 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.595 + -0.325. Let z = n + -5.4. Let v = -9.13 - z. Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0197 - 0.1803. Let v = -8.04 + 8. Let s = v + 2.04. Sort z, s, 13 in increasing order.\nAnswer: z, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-82)\/123)\/(((-2450)\/(-60))\/(-35)). Find u, given that 8\/7*u**2 + 0*u**3 - c*u**4 - 4\/7 + 0*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrsikriiisli. What is prob of sequence sl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**3 + l**2 - l**2 - 1 + (l - l + 2*l)*(-4*l + 4*l**2 + 4*l).\nAnswer: 9*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 8 + 6)*(2 - 6 + 3)*((-1 - 7 - 1)*(-2*n - n + 5*n) - n - n - 3*n + (2*n - n + 0*n)*(-3 + 1 + 0)) + (2*n + n - 4*n)*(1 - 1 - 2).\nAnswer: -223*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.057*1474\nAnswer: 84.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -19*n**2. What is f(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 3 - 3 - 2*p - 1 + 1 + (-1 - p + 1)*(0 - 2 + 4) - p - 9 + 9)*(-4 - 15 - 6) - 2*p + 3*p - 3*p + 1 - 1 - 2*p.\nAnswer: 146*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 7*w**2 - 12*w + 7. Let a be (-8)\/40 + 46\/5. Let d be t(a). Suppose -j - 2*r = -5*r - 16, -3*j - 4*r + d = 0. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, o: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1730  (b) 13  (c) 0.18  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70886 - 779950\/11. Let g = -20 - -1. Do g and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*q**3 - 26*q**3 - 15*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bc23a - 1?\nAnswer: -bc23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 203 and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 398307 and 48139?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 (base 10) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n*n**22)\/n)*n**(-2\/29) assuming n is positive.\nAnswer: n**(-611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 31096141751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d + 12. Let u be g(-5). Suppose 21 = 4*r - u. Calculate the smallest common multiple of 1 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 916 = 204. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -1\/12*u**4 + 0 - 4*u**2 + 1\/2*u**3 + 0*u. Let d(p) = -5 - p + 3 + 4. Determine 3*b(x) - 5*d(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3034, 6074, 9114, 12154?\n\"Answer: 3040*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.019 + 0.481. Which is the second smallest value?  (a) -5  (b) -1\/4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3872573991.\nAnswer: 3, 11, 13, 231461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tdtd. What is prob of sequence dtd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6556673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000285805535 rounded to seven dps?\nAnswer: -0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -142251*n**3 + 19454*n**2.\nAnswer: -853506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1205 - 1292 = 191*p - 2761. What is the smallest common multiple of p and 734?\nAnswer: 5138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55551*j**2 + 91*j - 67 - 55551*j**2 + 13*j**3 - 3*j.\nAnswer: 13*j**3 + 88*j - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*y**3 + 6*y**3 - 12*y - 7*y wrt y?\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6 + (-4 - -2)*1. Let t = 12 + c. Solve -t*f + f = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1675.923430038 + 0.2.\nAnswer: 1676.123430038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -4*p**3\/9 + 3*p**2 - 8*p\/3 + 2. Factor x(q).\nAnswer: -2*(q - 4)*(2*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146650 (base 9) in base 7?\nAnswer: 523653","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/32)\/(2 + 9\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -68*v**4 - v**3 + 131*v**2 - 6*v + 775.\nAnswer: -816*v**2 - 6*v + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61151 + -61148. Find n, given that -8\/5*n + 0 - 46\/5*n**v + 8*n**2 + 14\/5*n**4 = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -6. Suppose 3*g - 14 + 2 = a. Is 13 a factor of 24 - 3*g\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 2\/37  (b) 0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.08879348 rounded to two dps?\nAnswer: 6.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 75, 1\/14, -0.5, 16?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 3*x - 5 = 6, -2*x = 4*q - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185910834*i**3 + 1 - 1 + 185884697*i**3.\nAnswer: -26137*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66067694 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -1  (b) -1\/8  (c) 3.8  (d) -5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/482 and 75\/56.\nAnswer: 13496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -34, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4.430807km?\nAnswer: 4430807000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -38 - -52. Suppose 5*y + 1017 = k*y. Suppose -2*l + 100 = 3*r, -61 = -5*r + 4*l + y. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -29  (b) 54  (c) -0.5  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3302113221 + 1223?\nAnswer: -3302111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412455 = 3*k + 412407 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 9. Let t be d(-8). Is (t - 4\/(-3))*879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*z**5 - 671*z**4 - 3902*z**2 - 252 wrt z?\nAnswer: -2100*z**2 - 16104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85726990.\nAnswer: 2, 5, 8572699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 6*s**2 - 5. Give o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 3*n**2 + 4 - 2*n - 2 - 1. Let a be h(-2). What is the units digit of (-1 - -4)\/(a\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.57 - -9.07. Sort 0.1, a, -0.19.\nAnswer: -0.19, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2*q**3)\/(q**(-2\/5)\/(q**0*q)) assuming q is positive.\nAnswer: q**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/6 + 20*z + 1078\/3.\nAnswer: (z + 22)*(z + 98)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 68410918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1133330123 to the power of 1\/2, to the nearest integer?\nAnswer: 33665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (481\/226551*157)\/((0 + 1)\/123).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*t + 275 = 60*t - 361 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -3*j**8\/112 + 7*j**5\/20 - 24*j**2. What is the third derivative of s(o) wrt o?\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 15*t**2 - 23*t + 11. Calculate c(16).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5\/2, 3, -0.3, -1\/6, -106.1?\nAnswer: -106.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*z + 4 = -1, -3*z = -w + 7. Let x be -5 + -5 - 2\/(2\/w). Does 19 divide (x - -5)*19*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176655720 divided by -1009?\nAnswer: 175080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 5:05 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*i**2 - 221 + 2*i + i**4 - i**3 + i**3 + 224 as w*i**4 + a*i + o*i**2 + g*i**3 + f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 6 + 8 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 5:03 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -71380 (base 9) to base 6\nAnswer: -1001243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y\/y**(2\/9))**(-1\/12)\/(y**(-1\/3)*y*y*y**(-3\/10)\/y*y*y)*((y\/(y\/(y**(-1\/8)*y))*y)\/y)\/(y*y\/y**1)*y**(2\/7)\/y*(y*y**(1\/2))\/y assuming y is positive.\nAnswer: y**(-22207\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/63 - -16\/63. Let h = -10658 + 10659. Let t = 3 + -4. Which is the third smallest value?  (a) -0.4  (b) t  (c) l  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25020528772564 minus -0.3?\nAnswer: 25020528772564.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 2\/11, -629763.\nAnswer: -629763, 1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -17*y - 1. What is the remainder when 28 is divided by v(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/14 - (-4)\/2. Let g = 104\/105 - y. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111720 (base 10) to base 3.\nAnswer: -12200020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 + -2)\/(2\/(-10)). Let l = 9 + o. Suppose 0 = -l*g - y - 2*y + 31, -g - 3*y = -10. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -11. Suppose l - 5*d + 7 = 20, -t*l = 2*d - 96. Solve 7 = 2*y - i, -6 = y - 5*i - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/(-20) + (-4)\/10)*-2. What is the fourth biggest value in 5, -2\/7, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 n when four letters picked without replacement from {l: 1, t: 3, o: 2, q: 2, n: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 2\/11, 5, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/120 and -13\/8498826?\nAnswer: 169976520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10418 = 8*d - 58146. Suppose -23*a = -2981 - d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-140)\/30)\/((-1)\/(-3)). Let g be p\/10 - (-4)\/10. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 15 + 27 + 3*i**2.\nAnswer: 3*i**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/159027556 and -71\/4.\nAnswer: 159027556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 1\/2  (c) 8  (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -50 divided by -3035\nAnswer: 10\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (-3 + -32) - (-31 - 0).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2403 divided by -2.\nAnswer: 2403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c + 64 - 5*c - 3*c + 0*c - 3*c.\nAnswer: -2*c + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 7:21 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 12, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66516 is divided by 11077?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 476?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1\/2, 4\/297, -5, 0.5, 0 in decreasing order.\nAnswer: 0.5, 4\/297, 0, -0.2, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1016220, -1016167, -1016018, -1015725, -1015240?\n\"Answer: 8*u**3 - 3*u - 1016225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 323\/(-19) + 10\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 0*x**4 + 21*x**2 + x**4 + x**3 + 15 - 2*x**4 to h*x**4 + a + j*x**3 + c*x + d*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 13414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**2 - 9*j + 2. Let x be s(6). Let p be ((-28)\/6)\/(54\/(-81)). Calculate the highest common factor of p and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*2\/1980*10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 73*a**2 - 2*a + 8. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 221.\nAnswer: -3\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 126.32 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2277*u - 4565*u + 3*u**2 + 2283*u)*(5*u**3 + 2*u**2 - 2*u**2 + (1 + u**2 - 1)*(-6*u + u + 4*u)).\nAnswer: 12*u**5 - 20*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 7*p**2 + 6*p + 4. Let l be o(-6). Suppose 4*d = 0, 3*w - 12 + 0 = -d. What is the derivative of -3 - 8*k**l + 0 + 6*k**w wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 5*c - 4. Suppose p + 3*p - 1 = 3*m, -5*p - 4*m + 40 = 0. Let s be (3\/4)\/((-1)\/p). Calculate k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 139376109 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 696786560 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 29 = -5*r + 34, 32 = 5*r - 4*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 11877, 2, -44, 1 in descending order.\nAnswer: 11877, 2, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 6:49 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.38 - -0.02. Let s = -0.26 - -3.26. What is the closest to 3 in s, 0, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-10\/9)*d)\/d)**32 assuming d is positive.\nAnswer: d**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -68*q**5 + 6*q**4 - 35*q + 12. Let s(r) = r**4 - r + 2. Let w(n) = -d(n) + 6*s(n). What is the second derivative of w(y) wrt y?\nAnswer: 1360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 2\/165, 0, -0.3?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11932 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-279)\/(-3627)*390\/(-50)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1138 - 1140. Let h(g) = -g - 6. Let c be h(-9). Put 9, 1, c, q in increasing order.\nAnswer: q, 1, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/2610 and -31\/4350.\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3703934*l**3 - 963*l**2 - 200 wrt l.\nAnswer: 22223604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20009.\nAnswer: 11, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294*m = -302*m - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 304*y**2 + 131*y + 302*y**2 + 309*y**2 - 1227*y**2 + 302*y**2.\nAnswer: -10*y**2 + 131*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 6*o**2 - 6*o - 5. Let n be h(5). Let y be 55\/(-22)*12\/n. Suppose 132 = y*d + 3*g, 6*g - 52 = -d + g. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*i - 65*i + i**3 - i**2 - 2*i**4 + 0*i**4 to the form a*i**3 + f*i**4 + o*i + d*i**2 + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*g - 9*g. Suppose -5*z + 2*c - 11 = 1, 4*z = 2*c - 8. Let n be z\/g + 314\/3. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 0*k = 18. Let m(p) be the first derivative of 0*p**5 - 2 + 0*p**k - 1\/6*p**4 + 0*p + 1\/18*p**6 + 1\/6*p**2. Factor m(n).\nAnswer: n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 - a - 63*a**2 + 0*a + 1 + 0*a in the form q*a**2 + s + o*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/189 and 211\/23310?\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0536 and -192.\nAnswer: -191.9464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a (base 13) in base 14?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.4, 22, -1, -13\/2, 6.\nAnswer: -13\/2, -1, 0, 0.4, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fettffxxltxttetl. Give prob of picking 1 f and 1 t.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 2:14 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d + 6. Let g be (2\/(-4))\/((-1)\/(-14)). Let z be l(g). Suppose 2*f - z = 2*k + 3*k, f - 2*k = 8. Solve -5*u + f*u + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 9*u**2 - 23*u - 11. Let v be c(-5). Solve -135*d + v = -131*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10096 = 6*c - 3902. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -2. Let r be 2\/(-3)*54\/12. Sort d, -2, r in descending order.\nAnswer: d, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7953844 to the nearest integer?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*d = 31512. Suppose -3*p + 1449 = -d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13\/24 - -1\/24. What is the closest to 1\/4 in 5, -1\/9, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c - -1d2011?\nAnswer: 1d202d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -10*5\/30*-3. Suppose 2*c = -c - 15. Let l = 9 + c. Solve -3*m + 3*f = -12, h*m + l*f - 2*f - 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1003*o + 1010*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + c = -2*y - 12, 2*c - 8 = 2*y. Suppose 2*w = -u + 7, 3*w + 4*u - 2*u = 9. Let b(l) = 4 + w*l**2 - l + l + 7*l + l**3. Give b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from wbwwwbw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3759 or 3571?\nAnswer: 3759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -7. Let y(q) = -6*q - 5*q + 0*q - f + 2*q. Calculate the remainder when y(-11) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 86 = 58 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 2\/3, 3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 8:49 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2581625 - -6?\nAnswer: 2581631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 14*t - 17*t - 174442, 0 = -4*t + 20. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(-4*o + o - 5*o)*(3*o**3 - 4*o**3 + 3*o**3)*(0 + 0 - 3*o).\nAnswer: 48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 16*b**2 + 4*b - 5. Let n(k) = 32*k**2 + 7*k - 12. Let h(t) = -3*n(t) + 5*o(t). Find the second derivative of h(p) wrt p.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 225, 2\/11, 141, 91, 0?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 388923.4mg?\nAnswer: 0.0003889234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-276)\/1035*((-1)\/(-3) - 35\/(-30)). Let b(m) = 7*m + 8. Let v be b(6). Sort v, o, -2\/7 in ascending order.\nAnswer: o, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 55 + 90 = -4*r, 5*r + 31 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 886909.\nAnswer: 886909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -3. Suppose -3*t - 2 = 2*j, s*t - j = -6*j - 5. Suppose -2*x + 26 + 44 = t. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-3) - (-4)\/3. Suppose -3*y + s*m = -0*y - 101, 100 = 3*y - m. Let t be 357\/y - (-4)\/22. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4 - 3 + 5 + 1651*c. Let i = 1 - -1. Let m be n(i). Round m to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.028 - -1.028. Which is the nearest to o?  (a) -0.1  (b) -1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1\/5)*l\/(l*l**(3\/10))*l)\/((l**(3\/4)*l)\/(l*l*l*l**(-1\/3))))**40)**9 assuming l is positive.\nAnswer: l**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.55 - 5.55. Which is the third biggest value?  (a) -1  (b) -0.5  (c) g  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 0*h - 5*h + 149103, 4*g = -3*h + 298185. What is the tens digit of g\/114 - (-4)\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 + c**2 + (-4*c + c - c)*(-5 + 5 + 3*c) + (2*c + 2*c - c)*(0*c - c + 3*c) as s + i*c**2 + y*c and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 6*z**2 + z + 1. Let q be w(-6). Let f = 2 + q. Let t(g) = 4*g**2 + 4*g - 1. Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77) + (sqrt(77) + sqrt(77) + sqrt(77)*-3)*2)\/(2*sqrt(704)*-2 - sqrt(704)) + -3 + -3.\nAnswer: -6 - 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b - 22*b = -86. Let c be (0 - b)\/(65\/(-60)*6). Factor 2\/13*j**2 - 2\/13*j - c.\nAnswer: 2*(j - 2)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -401 + 335. Is (d\/(-8))\/(6 - 2943\/492) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 8*c + c. Put c, 1, 4, -2\/9 in decreasing order.\nAnswer: 4, 1, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -811\/3 - -270. What is the nearest to 7 in d, -6, 1\/8, 2\/19?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 58*z + 253. Let p be l(-4). Solve -4*i - 13 = 5*b, 4*i + 40*b - 43*b = -p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-15)\/3 + 4)*-8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*j - 0*j. Suppose 2*k + 3*k = -u + 25, j*k = -8. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*l - 4 = -0*l, 2*v - l = 0. Let p be 2\/(2\/112*v). Suppose -a + 2*q = -39, 5*q + 85 = 4*a - p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-14)\/(-4) - 1\/2. Let a be 10\/2 + (-7 + 0 - -6). Let f(q) = 9*q**2 + q - 1. Let c be f(1). Solve -c = -i - 3*z, z - 7 - a = -r*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277*d + 307*d**2 - 309*d**2 + 283*d - 560*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**3 - 3*d - 6. Let j(g) = -2*g**3 + 3*g + 5. What is -4*j(h) - 3*o(h)?\nAnswer: 2*h**3 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 12}. What is prob of sequence lk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-248)\/(-18) - (-4)\/18. Calculate the highest common divisor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45237 divided by 3\nAnswer: 15079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60675853 by -7.\nAnswer: 8667979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 4*y**7\/273 - 8*y**6\/65 - 27*y**5\/130 - 7*y**4\/78 + 98*y + 75. Let g(r) be the first derivative of l(r). Factor g(i).\nAnswer: 2*i**2*(i - 7)*(2*i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-164)\/3854*-188*-16?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 + 86*i + 156.\nAnswer: 2*(i + 2)*(2*i + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 12, c: 1, l: 3, t: 1, g: 2}. Give prob of sequence ee.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 98*v - 552. List the prime factors of n(30).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 34*i - 83. Let s be v(2). Let w(x) = -4*x**3 - 8*x**2 + 3*x - 2. Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 8:15 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/1*(-2)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -191441, -191424, -191397, -191360, -191313?\n\"Answer: 5*q**2 + 2*q - 191448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x, 1 h, and 1 y when four letters picked without replacement from xeyxyyhhhh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -480942, -3847468, -12985188, -30779700, -60116602, -103881492?\n\"Answer: -480933*m**3 + m**2 + 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 - (42 - (-3 + 11)) - 49.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(1600)\/sqrt(5)) + sqrt(13) + (sqrt(208)\/sqrt(4))**2 + sqrt(52)\/sqrt(4) + 2.\nAnswer: 17*sqrt(13)\/8 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 158013240 - 1?\nAnswer: 158013238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and 72.26733.\nAnswer: 433.60398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 192 and 126882?\nAnswer: 4060224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45\/2 + 15\/2*h**4 + 5\/6*h**5 - 45\/2*h + 15*h**2 + 65\/3*h**3.\nAnswer: 5*(h - 1)*(h + 1)*(h + 3)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 766651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 13426?\nAnswer: -13422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 14*s + 18. Let f be h(13). Suppose f = 5*a - 15. What is the first derivative of 6*y**2 + 2*y**3 - 6*y**2 - 2 + a*y**3 wrt y?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 604 and 3810938.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88.42, 0.19, -0.2.\nAnswer: -0.2, 0.19, 88.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*g**4\/7 + 83248*g**3\/7 - 16184256*g**2\/7 - 24228298048*g + 9691688384 = 0.\nAnswer: -1186, 2\/5, 2674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124315.\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 10:10 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -90*(-4 - (-4 + 3\/6)). Is y\/30*(-2)\/6*-1574 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*l - 10, -l - 14 = -3*c - 3*l. Let r be 24\/(3 - 0) + 0. Suppose -r*a + 3*a + 180 = 0. Solve c*y = 4*b - 7 - 17, -4*b = -5*y - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(1100) + -1)*-6 + sqrt(1100))*6 + 2 + 4)**2.\nAnswer: -22200*sqrt(11) + 991369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/2 + 57*h**2\/2 + 11832*h - 489462.\nAnswer: -3*(h - 58)**2*(h + 97)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -6)\/(-4) + 26 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-21)\/6)\/(2\/(-12)). Let g be ((-7)\/h)\/(2\/(-18)). Suppose g*r - 58 = -2*m + r, -5*r - 5 = 0. What is the least common multiple of 12 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -24263, -24264, -24265, -24266, -24267, -24268?\n\"Answer: -r - 24262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*1)\/(((-540)\/15)\/(-288))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.05 + -0.08234. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 293b25b07 + 4?\nAnswer: 293b25b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -5 - 1. Let g(l) = -l - 2. Let z be g(2). Let n be (-1)\/z + (-213)\/(-12). Calculate the highest common factor of v and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*f - 51*f - 2 + 18*f**2 to d*f + z*f**2 + h and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 53625479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4*p - 6. Let f be g(2). Suppose -f*s - 2*b + 112 = 0, 3*b + 36 = 4*s - 3*s. Suppose -28 - 102 = -5*i. What is the remainder when s is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45472, 90093, 133862, 176779, 218844, 260057?\nAnswer: 300418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 82  (b) -5  (c) 0  (d) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/148497 + 1781362\/44697597. Sort 4, 3, g.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/21 and -67\/3192.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {y: 1, z: 3, p: 1, w: 2, f: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -5*o**4\/12 - o**3\/3 + 7*o**2. What is the tens digit of l(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 304451831 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -81 - -191. Let p = 687.43194 + -797.434. Let k = d + p. Round k to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -k**4\/9 + 208*k**3\/9 - 15982*k**2\/9 + 59696*k - 741321 = 0.\nAnswer: 41, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 141021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 0.4, 2\/609, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 2 + -2 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28\/59 - -2754\/413. Suppose -7 = -3*q - 1. What is the common denominator of h and q\/4 - 27\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*c - 60 = 0, -2*z + 4*c - 35 = -5*z. Let r = 16 - z. Factor -2*m**2 - 2*m**2 + r*m**2 + 2*m - m**2.\nAnswer: -2*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7742 (base 8) to base 5\nAnswer: 112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/6)\/(-5))\/(289\/8670).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2 + 0)*(-3*u - 4 + 4) - 11 + 79*u - 128*u + 64*u)*(6 - 2 - 2)*(6 - 3*u - 6).\nAnswer: -54*u**2 + 66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -189 - -565\/3. What is the closest to v in 36\/7, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 11*g**2 + 12*g + 2. Let z be j(12). Sort z, -4\/19, -2\/15 in increasing order.\nAnswer: -4\/19, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t**2 - 8*t + 8. Let b be a(-7). Let z(p) = -8*p**2 - 19*p - 62. Let j be z(-3). Let r = j - b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 99 + 23. Let c = 36 + f. Calculate the highest common divisor of c and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -122073 or -122068?\nAnswer: -122068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.006 + -0.994. Let t = -3 + 5. Put t, a, 0.02 in increasing order.\nAnswer: a, 0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000677362 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 4*r - 9*r + 53, 2*w - 13 = 3*r. Let a = 22 - w. Suppose 2*j = 2*z - 12, 2*z - 1 = j + a. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11943 or -1?\nAnswer: -11943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.46 + -1.77. Let i = 4.41 + f. Let w = -23.9 + i. What is w rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -77, -125, -131, -59, 127, 463, 985?\n\"Answer: 6*c**3 - 33*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3215745 is divided by 3530.\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*d - 1, 2*d - 5*d - 1 = m. Suppose 0 = m*f - 20, -97 + 19 = -3*v + 3*f. Let r = -860699 + 860788. What is the remainder when r is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -6*x**3 - x**2 + 3*x + 4. Let f be v(-1). Let a be -1 + f\/3 + -34. Calculate the remainder when 0 + 0 + a\/((-12)\/4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 12*i - 23. Let j(f) = f**3 - 8*f**2 + 14*f - 3. Let z be j(5). Let m be o(z). Solve -y = 5*b + m, -2*b + 4*y = 5*y + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1511 + 1514. Let f(g) be the third derivative of -8*g**l + g**4 - 1\/20*g**5 - 12*g**2 + 0 + 0*g. Let f(o) = 0. Calculate o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 10:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -2*q + 144. Let a = q + -107. Let x = -9 - -5. Put -5, a, x in ascending order.\nAnswer: -5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 8 - (33 - 1 - 3) - -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10*((-24)\/(-4))\/(183\/(-122))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**4\/5 - 444*g**3\/5 + 12274*g**2\/5 - 4296*g - 6840 = 0. What is g?\nAnswer: -1, 3, 30, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -6*v**3 + 6*v**2 - 2. Let t = -32 + 28. Let q = t - -8. Let i(p) = -5*p**3 + 5*p**2 + p - 1. Let d(a) = q*f(a) - 5*i(a). Factor d(u).\nAnswer: (u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8090.1482 + 1.1482. Let c = -8089.7479 - m. Let y = 0.74 + c. What is y rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(-20)*0 + 3. Suppose -18 = -2*u - 2*s + 16, -4*u = -l*s - 96. Is 22 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 54103064 and -0.0689946.\nAnswer: 54103063.9310054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -3\/5, -0.5, -0.0089, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i**6))*i)\/i**(-2\/7))\/(i**3*i\/(i\/((i**4\/i)\/i))*i) assuming i is positive.\nAnswer: i**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/17))**(-31) assuming r is positive.\nAnswer: r**(62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 101644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 807, 1303, 1507, 1419, 1039?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 6:37 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (22\/(-162))\/(((-2)\/44)\/(1215\/4455)).\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15860.451 - 15927.652655. Let p = q + 67.2. Round p to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/1)\/1*-3. Suppose 5*w - 2*w + 55 = 4*a, -2*w + 20 = c*a. Let o = a - -1. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57 + 12 + -9 + -13 + -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 2 - 6 - 4) + (1 - 166\/(-170))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3851 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -5\/4*m**4 + 0*m**2 + m - 1\/3*m**3 - 1. Let u = -112 - -111. Determine o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203 (base 4) to base 2.\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -63 * 16110\nAnswer: -1014930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4087941908 to the power of 1\/3, to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 197*i + 4. Let z(b) = -59562*b. What is z(w(r))?\nAnswer: -11733714*r - 238248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 12  (b) 2\/7  (c) -5  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2\/5, -0.02, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31950 and 11289?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 4*f - 73 = 0, 0 = -777*f + 776*f + 1 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1243, 1245, 1249, 1255?\n\"Answer: n**2 - n + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 6. Let o be 6\/(2 + t\/(-4)). Let l = 167\/4 - 42. Which is the biggest value?  (a) o  (b) -1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7404418 by -217777.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1))**(-12) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**2 - 3*t - 4. What is the remainder when m(6) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z - 185 + 335. Solve -z*c = -20*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -7*m + 2227. Does 17 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 983738?\nAnswer: 2, 7, 29, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.9 - -18.1. Let x = o - 24. Put x, -8, 1\/5 in decreasing order.\nAnswer: 1\/5, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from ksgfhkgkfjgkkkgsg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1120432 is divided by 2774?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 27905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 326978659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15540.389 - -15563.66898927. Let t = a - 23.28. Round t to seven dps.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 23*l**2 - 21*l + 6. What are the prime factors of x(22)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 6 = -i, 4*i = 4*v - 8*v + 16. Suppose -6*z - 12 = -4*z + 4*l, -4*l - 8 = i*z. Solve 0 = c + 3*h + 12, z*c - 5*h + 4*h + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - m + 5 = -4, -5*q = m - 15. Let h be 345\/9 - (-2)\/(-6). Let u = h - 33. Sort q, u, 0.\nAnswer: 0, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 5:24 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21 in -0.1, 1\/23, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202*x + 18835 = 74*x - 2693. Suppose 0 = 3*t - 505 - 422. What is the remainder when t is divided by x?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -h**7\/140 + 109*h**6\/40 - 12721*h**5\/40 + 11445*h**4\/2 - 44100*h**3 - 163*h**2 + 27. What is p in q(p) = 0?\nAnswer: 4, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2240 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 19618219.01 to the nearest 10000.\nAnswer: 19620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2158, -2160, -2162, -2164, -2166, -2168?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 941840 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260465022.\nAnswer: 2, 3, 73, 198223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 301023707, 301023711, 301023717, 301023725, 301023735?\n\"Answer: c**2 + c + 301023705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05892924 and 4.\nAnswer: 0.23571696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -1)\/(3 - 2). Suppose q = 3*w - 12. Suppose 0 = -w*j - 4*v + 124, 0 = -3*j - 3*v + 5*v + 83. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 278967\/(-70) - 21\/(-35). Let o = v + 3977. Find the common denominator of 43\/22 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25861803 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -528.7864 + 529. Let t = -0.0374 - z. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 t, and 1 k when three letters picked without replacement from gqztqgkqqzkggqgzqzz?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102824 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 1 + 2. Suppose -4*b + 80 = -m*h + 5*h, -3*b - 2*h = -59. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85825795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/55176 and 149\/23232?\nAnswer: 441408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -14378321*b - 1 - 9*b**3 + 23*b**3 + 14378321*b. Give p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2158*h + 120*h = -2998*h + 428*h + 242400 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13974 by -24898.\nAnswer: 6987\/12449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 173 + -81. Calculate the greatest common factor of 69 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1572818 kilometers in micrometers?\nAnswer: 157281800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -60 - -1233213?\nAnswer: 1233123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-13 - -10) + 22\/2. Calculate the smallest common multiple of (i\/(-5))\/((-6)\/15) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 351767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: 287597365 divided by 55\nAnswer: 5229043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94 - -135. Calculate the remainder when b is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.596364 hours to seconds.\nAnswer: 23746.9104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1362, 2731, 4096, 5457, 6814?\n\"Answer: -2*n**2 + 1375*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 68*m - 79*m + 22. Solve -4*n + m*n + 5*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4794)\/705)\/((-16)\/200)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 186\/5 + -739\/20. Let t = v - 51\/220. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11390350.\nAnswer: 2, 5, 157, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 - 32*p + 103. Let x be z(13). Is 1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11355956*n**5 - 131*n + 1529.\nAnswer: 227119120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (562 - 551) + -94 + 34\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4 + 70*a**3 - 200*a**2 - 630*a + 2205.\nAnswer: -5*(a - 7)**2*(a - 3)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27291*d + 148 = -27254*d. What is the highest common factor of d and 6388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 167*a**2 + 2219*a + 174*a**2 - 520*a**2 - 1178*a**3 + 181*a**2 wrt a.\nAnswer: -7068*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1665, 1784, 1947, 2148, 2381?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*c + 36*c - 22 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + 303?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 1 + 7 = 0. Let q be ((-6)\/9)\/(2\/(-147)). Suppose -53*c + q*c + 12 = 0. Solve -1 + c = -h*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - r. Let i(h) = 30*h**3 + 2*h. Give -10*d(x) - 5*i(x).\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 1 + 1 - -20. Let n(c) be the second derivative of c**3\/2 + 5*c. Let w be n(2). Solve -5*y - q = 3*u + 4, 3*y - w = 5*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 555087397 rounded to the nearest one hundred thousand?\nAnswer: 555100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3711969, 3711965, 3711961, 3711957, 3711953?\n\"Answer: -4*r + 3711973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2)*z\/z**(-8))\/((z\/((((z*z*z**14)\/z)\/z)\/z*z))\/(z**(-14)\/z*z)))**(1\/6) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 8 = -0*y + y, -4 = -4*s. Which is the biggest value?  (a) -2  (b) 6  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - -9) + (-6 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 206085150 a multiple of 6558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -3*q + 12, 3*q = -2*b + 31. Suppose b = c - 11. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*f - 2*f**3 - 2 - 5*f)*(12 - 96*f - 19 + 132*f) to the form k*f**4 + n*f**2 + u*f**3 + c*f + q and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1231846*d - 236 + 377*d**3 - 1231846*d with respect to d.\nAnswer: 1131*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-1) + (-12)\/6. Let v = -5 - m. Find the third derivative of 2*w**2 - 5*w**2 + 0*w**2 + v*w**4 - w**4 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39.7 - 50.8. Let b = q + 87. Let a = -3.5000116 - b. Round a to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -3*u + 265, 8*u + 2*n = 6*u + 174. Let y = -567 - -990. What is the remainder when y is divided by u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -88*p**2 + 483*p**2 + 116*p**2 to f*p + j + y*p**2 and give y.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2095.262km to micrometers.\nAnswer: 2095262000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(68)\/(sqrt(196) - -1*sqrt(196)))**2.\nAnswer: 605\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -108*v + 235. What is the remainder when 43 is divided by j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 108 - 101. Suppose 17*h = w*h + 180. Calculate the greatest common divisor of 72 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1671793 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -5. Let s(z) = -3*z**3 - 4*z**2 - 4*z - 2. Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 833.8275 centuries?\nAnswer: 1000593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - 4*s + 5*s + s - 3 + 3 + (-s - 2*s + 5*s)*(2 - 1 + 0))*(-1 + 1 + 1).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*(z*z*z**(2\/3))\/z)**(-36)\/(z**7*z*z*z\/(z*z\/z**5)*z*z*z*z) assuming z is positive.\nAnswer: z**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(-2\/25)*s*s)*s*((s**7\/s)\/s)\/s assuming s is positive.\nAnswer: s**(102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/952 and 3\/7 + ((-1)\/(-3))\/(1428\/(-2212)).\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i + 184. Suppose 2*s - 4*s - i = -3*r, -5*s = 10. Suppose 0*f + r = f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -o**4\/12 + 3*o**3\/2 - 6*o**2 + 4*o. What is j(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -3*c**7\/70 + c**6\/40 + c**5\/10 - 527*c**2. What is the third derivative of v(g) wrt g?\nAnswer: -216*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 2*g - 588, -2*h + 4*g = 3*g - 290. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -11. Let m be (2\/(-100))\/(48\/96). What is the third biggest value in 2\/21, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73 - 71 + 214 + 43*s**3 - 70 + 0.\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-242)\/(-4) + 15\/30. Suppose h = -9*x - 2. Let z(k) = -k**3 - 7*k**2 + k - 2. What is z(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 377*j - 72 = 365*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + 9304\nAnswer: 9303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seventy-six fifths of a kilometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {n: 1, m: 1, a: 1, j: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*(-2*sqrt(117)*-2 - (sqrt(117) - 5*(sqrt(117) - sqrt(117)*1)))\/((sqrt(27) + (sqrt(27) - 1*sqrt(3267)))\/sqrt(3)).\nAnswer: 25*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 155 = -8*n, 387*o - 4*n - n - 21 - 4 = 402*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 2*d - 3*j, 5*d + j + 15 = 170. Find the second derivative of 53*u - d*u - 35*u + 18*u**5 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 1002220020?\nAnswer: -1002220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.46 + 572?\nAnswer: 571.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 12) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 9*r**2 - 12*r + 4. Let p be u(8). Let o be p\/(-12) + (-2)\/(-3). Suppose -5*n - 4*f + 131 = 0, o*n - 2*n - 30 = 3*f. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 2:45 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.287 + -3.913. Round m to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/895848 and -53\/1382892.\nAnswer: 633364536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 971963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - h**2 - 5*h - 3. Let j(v) be the third derivative of v**6\/120 + v**4\/12 + v**3\/6 - 43*v**2. What is 2*g(x) + 5*j(x)?\nAnswer: 3*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = -d. Let i(u) = -4*u - 2. Let z be i(d). Let l = z + -12. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**5\/7 - 422*x**4\/7 - 2586*x**3\/7 - 558*x**2.\nAnswer: 2*x**2*(x - 217)*(x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -303*l - 628*l - 6846 = -9639 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6023*v*z + 7777*v wrt z?\nAnswer: 6023*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-19)*z*z\/(z\/z**(-1)*z))\/((z\/(z\/(z**(2\/23)\/z)))\/((z\/(z\/z**(-2\/3)*z))\/z*z)) assuming z is positive.\nAnswer: z**(-1363\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-39)\/(-24) + (-50 - 587923\/(-11656))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 0*s**6 + 19*s**2 + 1\/10*s**7 + 0*s**3 + 0*s + 0 - 1\/10*s**5 + 0*s**4. Find the third derivative of z(d) wrt d.\nAnswer: 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = u - 28, -5*u - 2*t + 25 - 20 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2583198 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 1:49 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44200*w - 44201*w + o + 12 = 0, 5*w - o = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 8:46 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 468 + -1480. Let h = o + 636. Is h\/(-6) - (-10)\/(-15) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25885440 to the nearest one hundred thousand.\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1037, -5, -280, 4 in increasing order.\nAnswer: -1037, -280, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 119 - 108 - 3*5. Sort 4, 5, 6, o in descending order.\nAnswer: 6, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2186 - 3*q - 21*q**2 + q - 605 - 12*q**2.\nAnswer: -33*q**2 - 2*q - 2791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + sqrt(98) + -3))**2 - ((1*sqrt(2))**2*-2 - (-3 + sqrt(72))**2).\nAnswer: -666*sqrt(2) + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -33201 - -12?\nAnswer: -33156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -20*s - 176. Let p be b(-9). Suppose -4*q = -4*h + p, -4*h + 1 = -h - 5*q. Solve -8 = -h*c - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*m + 9*m = 130. Let n(a) = a**3 + 3*a**2 - 5*a + 12. Give n(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -6 + 1 - -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2.382 * 313\nAnswer: 745.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1671 - -1666. Let g = -0.18 - -18.18. What is the second biggest value in g, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1394, -1395, -1396, -1397, -1398?\n\"Answer: -r - 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*3\/9 - (1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-17157)\/98 - (-1)\/(-2). Let i = m + 175. Which is the closest to 1\/4?  (a) 0.06  (b) i  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 669256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 2*f + 4 + 3 + 6.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0) + -10 + 22 + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 268588458 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 217187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13898270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/(-5))\/((-18)\/96). Solve -k = 4*r + 2*o, -r + 4 + 1 = 5*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 244897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 585\/20 + -16 - 13. Factor a*x**3 + 17\/4*x**2 + 16 + 20*x.\nAnswer: (x + 1)*(x + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -n + 5, 7*n + 4*s + 15 = -0*s. Is n at least -2\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96\/((-3)\/2 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18724839.\nAnswer: 3, 7, 891659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-16))\/r**(5\/2) assuming r is positive.\nAnswer: r**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 6*k**2 - k + 8. Let g be r(6). Suppose g*u - 44 = -14. Solve 2*a + 5*p - 21 = 0, u + 14 = -2*a + 5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {q: 3, g: 1, o: 2, z: 1, y: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00121374326 rounded to six dps?\nAnswer: -0.001214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -2. Let b be ((-15)\/i)\/(2\/4). Let g(l) = -2*l - 3. Let x(d) = 5*d + 8. Let n(m) = 8*g(m) + 3*x(m). Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1287254851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102667909?\nAnswer: 102667909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 218745 - 150624. Suppose w = 10*m - 149509. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tqttppqtpptp. Give prob of picking 1 t, 1 p, and 1 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 17. Suppose -5*x + 75 = -b, -3*x - i + 71 = 4*b. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/1980 and -187\/30420.\nAnswer: 334620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**2. Let i(y) be the second derivative of y**3\/3 + 7*y. What is i(b(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 7:05 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5\/20 + -1)*-4. Suppose -3*i = -3 - f. Suppose d - 7 = j + 11, 0 = -i*d - j + 39. Calculate the greatest common divisor of 133 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11107 is divided by 2771?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17825\/3 + 5942. Suppose 138 = 3*n + 42. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 8, -2\/7, 0.963, -1\/79, -1\/5, 4\/3, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -53, -83, -117, -155, -197?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22265 and 2555?\nAnswer: 155855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 7*u**2 - 1080*u + 308 = 0.\nAnswer: 2\/7, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 0 - 118\/15*a**2 + 8*a - 2\/15*a**3 = 0?\nAnswer: -60, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 34 = 4. Let b(d) = 118*d + 7. Let k be b(l). Suppose 0*g = -5*g + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - -1. Suppose -36 = 189*b - 198*b. Let m be 2\/((-9)\/((-54)\/b)). Solve i + 4 = c*i - 2*z, 0 = 2*i - m*z - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y**3 + y - 3*y**3 - 9*y**3)*(-11 - 22 + 9).\nAnswer: 432*y**3 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by 0\/(0 - -2) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 5*u**2 - 3*u + 7. Suppose -6*w - 30 = -7*w. Suppose 8*k - 3*k + w = 0. What is q(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + z - 10, 0*m + 16 = m - 5*z. Suppose -4*p - u + 2 = -3*u, -m = 3*p - 4*u. Solve 10 = 2*i + 4*b - 0*b, p*b = 5*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -17*p - 5. Let c(m) = -15*m - 4. Let r(q) = -4*b(q) + 5*c(q). Let u(n) = -341 + 341 + 4*n**2. What is r(u(w))?\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 651554845 and 985?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/2 - 1066067*b\/4 + 88839\/2.\nAnswer: -(b + 177678)*(6*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**4 - 5*s - 8*s**3 - 7*s**3 + 9*s**3 + s**2 - 11*s**3 to p*s**3 + v*s + j*s**2 + y + l*s**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/32*168 - -33.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4783*w**5 + 215*w**3 + 262*w**2 + 5584*w - 2 wrt w?\nAnswer: 286980*w**2 + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -33*f - 4. Let a(d) = 8*d + 1. Let y = -19 - -16. Let i be (-36)\/(-8)*4\/y. Let o(w) = i*j(w) - 26*a(w). Differentiate o(g) wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j\/(j*j**9)*j*j\/(j*j**17) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(448) + 4)**2 + (-1 + sqrt(448)*5)**2 + sqrt(448).\nAnswer: -88*sqrt(7) + 11650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 54978165, 54978163, 54978161, 54978159, 54978157, 54978155?\n\"Answer: -2*l + 54978167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -368.5274863 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 - -42. Suppose k - 2*a = m, -3*a + 7*a - 49 = -k. What is the highest common divisor of 116 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 8. Let q(w) = -7 - 6*w**2 + 0 + 4*w**2 + w**2 - p*w. Let v be q(-5). Sort v, -2, 1.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 291538 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(2\/5))\/(n\/((n*n**(5\/3))\/n*n)))\/(n*n**(-1\/4))**(-30) assuming n is positive.\nAnswer: n**(743\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/3*d**4 - 3*d**2 - 1\/3*d - 8*d**3 + 0.\nAnswer: -d*(d + 1)*(4*d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281209 divided by 4?\nAnswer: 281209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 310*d - 1680.\nAnswer: -5*(d - 56)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 17*q - 11. Let f be p(7). Let w(b) = 45 + 49 + 0*b + b - 97. What is w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2767371 (base 8) to base 13\nAnswer: -214c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-1*((1 + -1 + sqrt(500) + sqrt(500))**2 - sqrt(500))*6 + 5.\nAnswer: -59995 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 + 821260420*o - 33723433872928820.\nAnswer: -5*(o - 82126042)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7253 + 12564. Suppose 1633 = 32*v - d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20023771.\nAnswer: 37, 53, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/5124 and 107\/1830.\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1, 33.5, 1\/7, 2 in ascending order.\nAnswer: -0.5, 1\/7, 1, 2, 33.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i**2 + 48*i**2 - 5*i**2 + (5*i + 0*i - 4*i + (-1 - 3 - 4)*(3 - 3 - 2*i))*(2*i - 2 + 2).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6256*y + 6256*y - 190*y**3 + (3 - y - 3)*(-4*y**2 + 2*y**2 + y**2) - 4*y**3 + 3*y**3 + 3*y**3 - 2*y + 3*y**3 + 2*y + (-y**2 - 3 + 3)*(0*y - 2*y + 0*y).\nAnswer: -182*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -1. Let m = -3 - k. Let i = m + 2. What is the biggest value in 4, i, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -35267, -70516, -105743, -140936, -176083?\n\"Answer: 2*z**3 - z**2 - 35260*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10365, 40472, 90631, 160836, 251081, 361360, 491667?\nAnswer: 641996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.02 and 1.56577089469.\nAnswer: 1.54577089469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 70*a + 3*a**3 + 2 - 67*a + a**2 to q*a**3 + n*a + f*a**2 + p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 90 - 89.945. Let b = a + 0.145. What is the smallest value in 0, -3\/7, 2\/15, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 59346017, 118692031, 178038045?\n\"Answer: 59346014*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -2. Let z = -23 + 25. Let a(c) = -c**2 + 0*c - 5 + x + z*c. Determine a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 7.7 and 16.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, j: 9, a: 4, m: 3}. What is prob of picking 1 a and 1 c?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 104 = 5*j. Let c be 1\/(j\/28 - -1). Calculate the greatest common divisor of c and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 19, -0.3, -1 in decreasing order.\nAnswer: 48, 19, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - 1 + 2*h - 1 + 164*h**2 + 2*h. Let g be m(2). Suppose -348 - g = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/6 + (98\/(-21) - -7). Let s = -130\/27 - -571\/27. What is the common denominator of s and 3154\/836 + b\/(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 5*x + 40. Let t(i) = 461*i**2 - 13*i + 85. Is t(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1471, 1470, 1469?\n\"Answer: -s + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**3 + v**2. Let c be z(3). Calculate the common denominator of ((-114)\/c)\/((-8)\/(-6)) and 67\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/8 - 1\/40. Let t be (-2)\/13 + 15248\/(-260). Let q = 176\/3 + t. Which is the closest to -2?  (a) 0  (b) q  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51.94 + 52. Let z = -686 + 685.5. Which is the fourth biggest value?  (a) z  (b) -1\/5  (c) 1\/7  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/4  (b) -0.25  (c) 0  (d) 5\/6  (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -109288 bigger than -109288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of h**4\/2 - 3*h**2\/2 - 4*h - 15. What is the second derivative of i(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f + 13 = 49 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**5 - a**5 + 3*a**5 + (-2*a + 0*a + 0*a)*(-1 + 1 + 2*a**4) - a**5 - a**3 + a**3 - 2*a**5 + 3*a**5 + 11*a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -291, -448, -615, -798, -1003, -1236, -1503?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f**8*f*f)\/f*f)\/f)**(-37)\/(f\/(f\/f**(-3\/7)))**(10\/13) assuming f is positive.\nAnswer: f**(-37007\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/(-20))\/((-2)\/(-30)). Let r(q) = -q + 5. Let c be r(v). Let j(g) = -8*g - 1. Determine j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 12:58 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13305*l**3 + 7*l**2 - 487 wrt l.\nAnswer: 79830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/36 and 79\/151475598.\nAnswer: 302951196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 10*w**2 + 7*w + 9*w**2 - 34*w**2 + 4 + 6*w**2 + 10*w**2. Let q(z) = -z**2 - 6*z - 3. What is -6*q(l) - 5*t(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2070.004134 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4*m - 8 = 0. Suppose 3*j + 3870000 = 6*q - q, 0 = -m*j - q - 2580000. What is j rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, -3\/5, -24350, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 131013*v**3 + 2*v - 338417.\nAnswer: 786078*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/(15*3\/10). Let g be (-12)\/(-42) + (-60)\/14. Sort -3, -5, g, z in decreasing order.\nAnswer: z, -3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2122274 divided by 151591.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 3*d + 15 - 12, 0 = 5*d + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of m**5\/40 - m**3\/12 - 11*m - 1. Let n(u) be the first derivative of r(u). Factor n(g).\nAnswer: g*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l. Let k(f) be the third derivative of -11*f**2 + 1\/30*f**5 + 0 + 0*f**4 + 0*f**3 + 0*f. What is i(k(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267*x + 528384 = 279*x. Does 128 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 9*l + 9. Let s(i) = -i. Calculate 2*s(r) + t(r).\nAnswer: 7*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 287802 and 103014?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/3 and -12\/3821069?\nAnswer: 11463207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 11, 5 in decreasing order.\nAnswer: 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4 = 0, -2*s + 12*m = 16*m - 66. Suppose -4*k + 5*v + 1 + 16 = 0, -k = -v - 5. Calculate the remainder when s is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2260384687 - 730*j**3 + 726*j**3 - 2260384687.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -253*c - 714. Calculate t(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3928851 is divided by 112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttftttfttff. Give prob of picking 1 f and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 4. Suppose 0 = -j + 5*d + 23, -2*d - 4 + 30 = 4*j. Let p be j*q*(-3)\/(-12). Solve -1 - 2 = -h, -p*a + 4*h = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.21?  (a) -2815  (b) -1\/11  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -75157670 divided by 6\nAnswer: -37578835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.7 - 6.8. What is h rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -29318 (base 11) to base 15.\nAnswer: -c513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 18*a - 1. Let f be z(18). Let n be -6 + 8 - 24\/10. What is the smallest value in -0.5, f, -2\/15, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -12 + 0 + 23 + -1. Let h(v) be the first derivative of 0*v**2 - 5\/3*v**3 - 13\/4*v**4 + 0*v + y. Find the third derivative of h(n) wrt n.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 20*p + 11. What is k(8)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l + 16*l + 328 = 0. What is the remainder when l is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -64 + 82. Let n be c\/((-30)\/5) + 6. Solve -4 = -m - 2, 5*m = n*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63152 + 63085.953. Let m = 66 + n. Let h = m + 0.0455. What is h rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - i - 17 = 0, 0 = 2*p + 3*p - 2*i + 18. Let l be (-16)\/(-12)*3\/10. What is the smallest value in -3\/5, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 2*m - 4*m)*(-4 + 4 - m) + 125*m**2 - 160*m**2 - 612*m**2.\nAnswer: -643*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 121761 * -2\nAnswer: -243522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 15 = 4*x. Let s be 14\/x + (-4)\/(-12). Suppose 3 - 2 = -4*z + 3*f, -4*z = -2*f - 2. Calculate the greatest common factor of z and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 16. Let n = z + 13. Solve -4*r = n*g - 35, 2*g - 19 = -2*r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (7\/(-10) + 1). Let m = -907.4081 - -906.4. Let p = m - -0.0081. Which is the nearest to p?  (a) w  (b) 4  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 times -1.28\nAnswer: -17.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 10, z: 2}. What is prob of sequence zzu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 8*v = -558. Let n = 281\/3 + v. Solve -n*p + 1\/3*p**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 967, 4332, 10097, 18262?\n\"Answer: 1200*k**2 - 235*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 177 + -105. Suppose -r*n = -66*n - 1872. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -441, -446, -451, -456, -461?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 1:44 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -2*m + 5*o, 26 = 3*m + 2875*o - 2870*o for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 10. What is the units digit of 0 - j\/(10\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 3:07 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxnnxxxnxx. Give prob of picking 1 n and 2 x.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 7*s + 19 = 6*s, -2*s = 4*q + 22. Let n be 15\/q + (-16)\/64. Let p(v) be the second derivative of -v**3\/2 - v**2\/2 + v. What is p(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(448) + 0 + 4) + (2 + 2*sqrt(28)\/sqrt(4))*3)**2.\nAnswer: 952*sqrt(7) + 8288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.374502 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -16. Let x be 2*(-3 - (-27)\/6). Sort o, x, -0.1.\nAnswer: -0.1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59204*d**4 + 69*d - 552 wrt d.\nAnswer: -710448*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 297*o + 1241. Calculate the remainder when 192 is divided by n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*f, 2*b - 2*f - 3*f + 12 = 0. Let l = b + -1. Is 65 - ((0 - l) + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 7:32 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 28. Let q(c) = 2*c + 8. Give q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689475 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, v: 1}. Give prob of picking 1 b and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 6\/5, 0.5 in descending order.\nAnswer: 6\/5, 0.5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2394346308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (-108)\/(-42))\/(16\/(16\/8))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2566*t**2 + 71*t - 56*t**2 - 71*t.\nAnswer: -2622*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24279 greater than or equal to 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 8. Let c(k) = k - 16. What is 3*c(f) + 5*n(f)?\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 2086*v - 3 - 2489*v + 4572*v.\nAnswer: -3*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 380881, 380739, 380511, 380203, 379821, 379371, 378859, 378291?\nAnswer: 377673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*w**2 + 252050\/7 + 1420\/7*w.\nAnswer: 2*(w + 355)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4640269?\nAnswer: 17, 107, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3*(sqrt(26) + sqrt(104)\/sqrt(4))\/sqrt(2) + (2*(sqrt(130)*-2 - sqrt(130)))\/sqrt(10))**2.\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 4:31 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26788801, -53577610, -80366417, -107155222, -133944025?\nAnswer: -160732826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 785047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (33 - 24) + -2 + 1 + -39?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (30\/(8 - 6) + -96)\/((-2)\/102). What is the greatest common divisor of a and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*x**3 + 379*x**2 - 379*x**2 + 118*x**3.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**3\/3 + 3512*v**2\/3 + 83182*v\/3 + 79672\/3 = 0?\nAnswer: -1732, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-58 + (-5635)\/(-105))\/(1\/(-3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5049 is divided by 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in -0.1, -7, 345, -20, -6\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, n: 2, w: 1}. Give prob of sequence wnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 3*l**3 - l**2 - 3. Let r(j) = -67. Let d(h) = 31. Let x(z) = 13*d(z) + 6*r(z). Calculate -x(k) - y(k).\nAnswer: -3*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i - 3*i**5 - 2*i + 0*i**5 + i**5 + i**5 + (3*i**3 + i**3 - 6*i**3)*(-2*i + 2*i**2 + 2*i) - 111*i**5 - 4680*i**2 + 4680*i**2.\nAnswer: -116*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 11*c**3 - c + 2. Determine w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27 by -609.\nAnswer: -9\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from oztfodopftdodtttf.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhhhh. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -598  (b) 3  (c) 5  (d) -2\/3  (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10206509 + -5866409. Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 20 + 20. Suppose 12 + 8 = -5*z. Suppose -2*w = 3 + 3. Put l, z, w in decreasing order.\nAnswer: l, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + 18222232939713?\nAnswer: 18222232939713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 5*c**3 - 398430*c**2 + 1992045*c - 1593620 = 0.\nAnswer: 1, 4, 79681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-2 - 0) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5331093612.\nAnswer: 2, 3, 13, 34173677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/(-27))\/((-33)\/(5940\/40)))\/(-5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -840 + 840.00002814. What is x rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17.8 + -19. Let s = 1.19999982 + y. What is s rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1121 from -3203.163.\nAnswer: -2082.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.6 + -3. Let q = -5.09 - -0.09. Sort o, q, -0.2 in descending order.\nAnswer: -0.2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - 310729575.63\nAnswer: -310729575.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 2*g = 5, -s - g = s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -796 (base 15) to base 11\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87683, 87688, 87695, 87704, 87715?\nAnswer: 87728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276 = -2542*q + 2588*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*2\/(-6)*-1. Let i = 2.2 - 2. Let m = i + -0.2. Put m, 0.4, o in decreasing order.\nAnswer: 0.4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + 1999. Is 105 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3*x - 324 = -2*s, -3*s - 122 = -2*x. Let d = -34 + x. Suppose -2*y - z = -24, 6*z - d = -3*y + 3*z. 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: Calculate -4*1*(-7)\/(-42)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -110431432 - -4?\nAnswer: -110431426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of 2*m**6\/15 - 6*m**5\/5 + 4*m**4 - 20*m**3\/3 + 6*m**2 + 3*m + 11. Determine p so that t(p) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + -50 - -15) + 116?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22\/(-11)*(-1)\/(-6))\/(2\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24*p**4 - 4*p**3*q**3 + 3*p**3*q + 4804*p**2*q**3 + 2*p**2 - q**3 wrt p.\nAnswer: 576*p - 24*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*d**4*z - 33365*d**4 + 60*d*z - 5*d + 10*z + 29 wrt d.\nAnswer: -276*d**2*z - 400380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -62, -199, -454, -863, -1462, -2287?\nAnswer: -3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -5. What is the units digit of ((-28)\/(-8))\/((-2)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 18587532 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from krrkkrgggrrgrrrgkzk.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 12:23 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15996890?\nAnswer: 2, 5, 7, 13, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 > 5\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**5 - 70*g**4 - 335*g**3 - 730*g**2 - 740*g - 280.\nAnswer: -5*(g + 1)*(g + 2)**3*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 14 = -2*g. Let r be (-4)\/(-42) - (7 + g). What is the nearest to -0.1 in 3\/5, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-3)\/(-1))\/(15\/(-35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1290 + 1305. Calculate the remainder when 213 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 771810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**3\/2 + 77*g**2\/2 + 1708*g - 18126 = 0. What is g?\nAnswer: -38, 9, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -396636 and 6.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 546271 is divided by 280.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1127*y**4 + 1105*y**2 wrt y.\nAnswer: -27048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-30 - -13 - -16) + 6 + 9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -2*f + 152, -4*f - 3*n = -0*n - 318. Suppose 0*p = 4*z + p - 150, 0 = -2*z + p + f. Suppose -380 = -z*g + 33*g. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 376\/25, -2\/3, -107.\nAnswer: -107, -2\/3, 376\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5*h + 7*u + 102, 0 = -2*h - u + 33. Suppose 24 = 14*y - h. Sort 6, -2, y, -4 in decreasing order.\nAnswer: 6, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.22 + 0.02. Suppose q - 2*a - 7 = 0, -15*q = -17*q + 2*a + 8. What is the fourth smallest value in -3, q, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*k**2*p*v - 71971*k**2*v**3 + 686*k**2*v**2 - 3*k*v**2 - 5*p*v**3 - 4*v wrt v.\nAnswer: -431826*k**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 9  (b) -64  (c) -2\/99  (d) -5  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -233 - -228. Let i be 2\/(a\/175*-5). Solve -20 = 5*y - 0*y, -i = 5*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: 2679391 divided by 93\nAnswer: 2679391\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 2:19 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -10*j**2 + 790*j - 115. What is i(80)?\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 94*i + 2722. Give z(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5577959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(960)*1 - sqrt(150)\/(sqrt(30)\/sqrt(3)))\/(sqrt(3) + sqrt(3) + sqrt(3) + 2*sqrt(12)\/sqrt(4) - (2*sqrt(24))\/sqrt(8)).\nAnswer: 2 + 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 293 and -5.5.\nAnswer: -1611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x**2 + 6*x - 8. Let m(k) = 4*k**2 + 5*k - 8. Let y(d) = -2*m(d) + 3*o(d). Let s be y(-6). What is the tens digit of ((-12)\/(-20))\/((-1)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 16*z - 2. Let g be q(1). Let k(p) = 6*p**2 + 11*p - 15. Let n be k(-9). Suppose -g*a = -17*a + n. What is the highest common factor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 7*l**3\/3 + 1. Let o(z) = 4*z. Let t(m) = -9*m. Let g(a) = -14*o(a) - 6*t(a). Determine g(d(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**7*s))**(11\/4)\/((s*s*s**(-25\/2))\/((s\/(((s\/s**10)\/s)\/s))\/s*s)) assuming s is positive.\nAnswer: s**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x + 4*j = -2*x - 4, 5*j = -3*x + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -61.2849+-2\nAnswer: -63.2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8479797 and 83?\nAnswer: 703823151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 13*y = -11*y + 228, 0 = y + 4. What is the common denominator of (-142)\/(-160) + 22\/z*5 and -43\/72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-14) - (-1 - 4 - -3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 6. Suppose 5*a - 19 = 11. Factor 6 - a + j*k**4 + 2*k**3.\nAnswer: 2*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*y + 56 + 28 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -292.53 + 294. Let m = -1.45 + p. Which is greater: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*m = 5, -5 = 18*m - 13*m. Which is smaller: g or 261?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 7 - 24 = -y, -v = -4*y + 17. Suppose -3*u = -5*n, 4*u - 29 = -0*n - 3*n. Solve 0 = -n*h - 4*r - v, 3*h + 2*r - 1 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(9\/(-3)))\/((-208)\/26).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**5*o)\/o**(13\/4) assuming o is positive.\nAnswer: o**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -401 (base 6) to base 14\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2353322 + 2165*v**2 + 2353322.\nAnswer: 2165*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7535240.83 - -58019.17. Let s = 7593248.199889 - g. Let w = -11.8 - s. What is w rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 + 1415*n\/4 - 22579\/4.\nAnswer: -(n - 337)*(4*n - 67)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -386400 rounded to the nearest one thousand?\nAnswer: -386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12364616 divided by -537592.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - v. Let j(n) = -8*n**2 + n + 4. Let b(a) = a**2 + a - 1. Let i(c) = -3*b(c) - j(c). What is -i(q) + 3*u(q)?\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.80067cm to millimeters.\nAnswer: 788.0067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/100 and 97\/104.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1, 4*q - a = 7. Suppose -25 = -5*w, -2*w + 16 - q = -m. Put 1, 3, m in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(896))\/((-1*sqrt(88))\/sqrt(11)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + r + 2*r. Suppose o + 3*o + 115 = 5*k, k - 2*o - 17 = r. Calculate the highest common factor of k and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 11:30 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in 0.2, -1, 37, 1\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 709\/13 greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 2:05 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.0091+0.048\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (5 - 4 - 17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**2 + 7078*n - 7009*n - 4*n**2 + 9*n**3 wrt n?\nAnswer: 54*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*g - 4*r - 24, 0 = 12*g - 10*g - 4*r - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {a: 1, q: 1, g: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 1901485231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 530 greater than 529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c + 0*c + 0*c)*(1 - 3 + 1)*(-2 + 0 + 0) - 8*c + 2*c + 0*c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**3 + 3*k**3 + k**3 + k**3 + 2*k**3 - 2*k**3 + (-4 + 1 + 5)*(3*k**3 - 3*k**3 - 2*k**3) + (-46*k**2 + 44*k**2 - 18 + 4)*(k - 1 + 1).\nAnswer: -4*k**3 - 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9313 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 4*j**3\/3 - 11*j**2 - 11*j - 15. Let w(m) = 2*m**2 - 10*m - 6. Let u(l) = 2*g(l) - 5*w(l). Factor u(h).\nAnswer: -2*(h - 4)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 569092610.\nAnswer: 6260018710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ljijj. What is prob of picking 1 l and 3 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-88)\/(-240)*6 + (-96)\/80. Let p be ((-6)\/2)\/((-9)\/(-6)). Sort p, 5, x, 173 in decreasing order.\nAnswer: 173, 5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -7.61.\nAnswer: 7.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m*(m*m**(-5\/4)*m)\/m)*m\/(m**(-2)\/m*m))\/(m**(2\/3))**(-3\/22) assuming m is positive.\nAnswer: m**(103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*w = 25*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.53 - -0.33. Let d = u + 0.2. Let z = d - -7. Which is the second biggest value?  (a) 3\/5  (b) z  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 958068.\nAnswer: 2, 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((43 - 56) + -2 + 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8927, -3, 5 in decreasing order.\nAnswer: 5, -3, -8927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4200 divided by -21.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -982122\/23 - -42710. Let t = g + -9. Is 0 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 3*-1 + 9 + -1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115*c + 16 + 3*c**2 - 122*c + 237*c.\nAnswer: 3*c**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**16*p\/p**(-6\/17) assuming p is positive.\nAnswer: p**(295\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*p**2 - 5*p**2 + 7*p**2 - p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1374896 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 700946 and 438?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 4*o + 4, -10*w = 545*o - 550*o + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 309561 (base 11) to base 10\nAnswer: 495804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**2 + 6*y**3 + 5*y**2 + 0*y**2.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.99044 + 0.00956. Let s be (-6)\/(-3)*(-2)\/(-12). Which is the nearest to -7\/5?  (a) 0.1  (b) f  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5234007760 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/700518 and -29\/4248?\nAnswer: 495966744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -151163 - 0.9025817.\nAnswer: -151163.9025817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1291*p - 151132 + 35422 = -704*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1216882 (base 9) to base 6.\nAnswer: 22101032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - 10. Let o be 229 + (q\/3 - -2). Calculate the greatest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -152*c**3 - 168*c**3 + 337*c**3 + (4 + 2*c - 4)*(-2*c + 2*c - 3*c**2) as k*c**3 + u*c + y + v*c**2 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001392722 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67*r**3 + 1610369*r**2 + 581028312*r wrt r?\nAnswer: -402*r + 3220738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 10:42 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 226030 + -135278. Suppose -3*o + z = -239248. Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-593873)\/(-344) + 6\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 1, x: 2, a: 2, u: 1, s: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1283039678 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3 + 0 + 4 + 3*x + x. Let u be y(1). Solve -2*o - 1 = -2*f - 3, 35 = u*f + 3*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4100.1 and -1.2.\nAnswer: -4920.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5 = -2*h + 3, 5*s - 25 = -5*h. Let w be (s\/(-5))\/((-2)\/10). What is f in -f**2 + w*f**2 - f**3 - 2*f**2 - 1 + f + 0*f**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {l: 4, m: 1, n: 2, d: 8, r: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 318, 981, 0 in decreasing order.\nAnswer: 981, 318, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/136 + 7605\/1496. Find the common denominator of n and ((-9)\/((-126)\/20))\/(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3 + 51*a**2 + 99*a + 49 = 0.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/714 and -68\/10005.\nAnswer: 2381190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t - 51. Let m be d(19). Let w(z) = 3*z + 23. Let q(x) = -x - 8. Give m*w(j) + 17*q(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -139, -0.4, -6?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 4*a + 568, 0 = -37*q + 34*q - 4*a + 429. Calculate the remainder when q is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1))**(-1)*i**(3\/2)*i\/i**(1\/4)*i\/(((i*i**(-2\/7)\/i*i)\/i)\/i)*((i\/(i*i**1*i))\/i)\/i*(i\/i**(-9))\/(i*i**(-2\/9)\/i) assuming i is positive.\nAnswer: i**(2207\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 337715553 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 97*l - 1168. Determine k(-83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-6)*(-40)\/(-100)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3247211 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 16*u + 34. Let z be k(-2). Solve -5*t = 3*j + 28 + 1, 0 = -z*t - 5*j - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 10) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(3) + 1 + sqrt(3))**2 + sqrt(18)\/(sqrt(6) + sqrt(6)*-2) + (2*sqrt(27) - sqrt(54)\/sqrt(2)).\nAnswer: 26*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*5\/(-5)*(-95)\/(-19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -143590368 by -23931728.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279*w - 777 = 390*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6654 rounded to two dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -39, -70, -103, -132, -151?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.1175l to millilitres.\nAnswer: 4117.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -97*i**3 + i**2 - 54*i - 367. List the prime factors of s(-8).\nAnswer: 17, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2069 is divided by 1022.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43451 + 11?\nAnswer: -43440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21\/(-6)*4*(45411\/(-11352) + 4). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*q + 25*q + 147 - 150 - 196*q**2.\nAnswer: -196*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -371, -3.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 106*l + 88*l + 101*l - 293*l. Let w(s) = s + 0 + 0. Determine y(w(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -17*c**4\/24 + 2679*c**2. Let j(y) = -25*y - 4. What is j(w(b))?\nAnswer: 425*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 4 = 4*b, -136*y + 134*y = -b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -213 - -240. Let k(j) = -2*j**2 + 54*j + 3. Let u be k(r). Solve 2*c = -4*o - 16, -u*c + 2*o = -7*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r + 5*r + 99*r**3.\nAnswer: 99*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/21*9\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 221508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1\/3, -13\/3, 5, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: f (base 16) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 - 77*p + 1145. What is k(-57)?\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 62213 - -7420?\nAnswer: 71633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (13\/(-3) + -3)*(-6)\/4. Suppose 0 = -x*m + 96 + 454. Let r = 74 - m. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0272277 + 169.9921723. Let v = y + -170. What is v rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 770758349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14401, 14430, 14479, 14548, 14637, 14746, 14875?\n\"Answer: 10*k**2 - k + 14392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2635.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2382041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-3 + 1 + -1*sqrt(125) + 3)*-5)**2*-3.\nAnswer: -3750*sqrt(5) + 47250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 2:21 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from bbbbbbbbbbwbwbwbbbbb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 244 a factor of 4559628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1543608.11 + -1523131. Let z = v + -20512.110092. Let f = z - -35. Round f to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -3. Let j = u - -6. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 - 16 = 0. Let p = -5 - w. Solve -p = a - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 3213*v + 53754.\nAnswer: 3*(v + 17)*(v + 1054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.271 or 2\/3?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.0208266, 0.5, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 + 482*r - 1912.\nAnswer: -(r - 478)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 12:30 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 582 - 981. Let c be (-57)\/n - 1\/7. Let t(u) = -2*u. Let x be t(-1). Sort x, 9, c in decreasing order.\nAnswer: 9, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -389800281.00000104 - -389800328. Let y = -5 - 42. Let v = u + y. Round v to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -4*q**3 - 28*q**2 - 5*q - 31. Determine p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 112883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*1 - 3*(sqrt(17) + 0) - ((-2*sqrt(85) - sqrt(85))*6)\/sqrt(5))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 14 + 0\/(-3 - -1). What is the highest common divisor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence skky when four letters picked without replacement from {k: 4, y: 8, s: 2, l: 3}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 190 - 116. Let x = q + -42. Let f = x - 27. Sort 4\/9, 0.2, f.\nAnswer: 0.2, 4\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 17 = -8. Let d = 152 - x. Find the second derivative of 18*w + 69*w**4 + 73*w**4 - d*w**4 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 491*h - 2894. Let n be x(6). Solve 0 = 4*f - 41*k + 37*k + n, f + 12 = 5*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80934 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 290899451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.089 - 0.169. What is the third biggest value in 2\/9, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2963.64 - 3022. Let y = -6.26 - j. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2 + 1 - 5*q + 8*q. Let y be v(1). Find the second derivative of 9*h**y + 12*h - 10*h - 4*h**2 + 2*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 163 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -4. Let t(n) = -81*n + 23. Let j(q) = -17*q + 5. Let m(z) = -14*j(z) + 3*t(z). Let b(l) = 11*l + 2. What is w*b(r) - 5*m(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 - -1 - (-6 - (14 + -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - ((-25)\/(-5) - 1). Suppose 4*r - 416 - 556 = i. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 0)*(-2*z - 2*z + 5*z) + 3*z + 2*z - 4*z + (-3 - 3 + 4)*(-1 - 1 + 8)*(z - z + 4*z) in the form o*z + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssxsxxss. Give prob of sequence sx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*i**2 + 9249640*i + 105705600.\nAnswer: 5*(i + 264264)*(7*i + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(-1\/10))\/h)**(1\/25))**(24\/11) assuming h is positive.\nAnswer: h**(12\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -87.9 and -509.\nAnswer: 44741.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 4*t = -12. Solve -2*m = k + 4, -3*k + t*k = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -9. Suppose -2*k + 2*a = -0*k - 108, -5*k = 2*a - 298. Let r = k - w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-43 - ((-63 - -61) + 0 + 4)) + -11 - 12.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7396.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 8*z - 14. Determine x(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -642 divided by 6?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a - 1. Let f be d(3). What is the units digit of (f - -72)\/2 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -146\/21 - -20\/3. Which is the nearest to 3\/5?  (a) 4  (b) -3\/8  (c) o  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 5*m**3 + 8*m**2 + 2*m - 8. Suppose 3*a - 26 = -17. Let k(q) = -2*q**3 - 3*q**2 - q + 3. What is a*c(s) + 8*k(s)?\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 9:13 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (9 - 0)) + -37 + (104 - 30)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 6)*(1031*r**4 + 243*r**4 - 221*r**4) to i + c*r**3 + j*r + h*r**2 + z*r**4 and give z.\nAnswer: 4212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 35421 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 2:24 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -l + r + 6, -3*l - 4 = r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 4*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9\/24)\/(-1))\/((-5772)\/21164).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -213091, -426156, -639233, -852322, -1065423, -1278536, -1491661?\nAnswer: -1704798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13651\/3, 1, -5 in increasing order.\nAnswer: -13651\/3, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 885330 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 2*z - 13*z - 67 = 0, -2*z - 34 = 3*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2431 and 2210?\nAnswer: 24310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 - 13*m - 5. Let d be c(7). Calculate the greatest common divisor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -8  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1 - 3 + 0 + 4 + (-5 + 4 + 3)*(3 + 2 - 4) + 3 - 2 + 4)*(0*r**3 - 2*r**3 + 3*r**3).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*j - 51*j = 18. Suppose -2*y + 42 + j = 0. Calculate the remainder when 86 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 4*f + 2. What is the units digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) - (5 + (sqrt(2448) - (1*sqrt(2448) - sqrt(2448))))**2 - sqrt(2448))*6 + 5*(-5 + sqrt(833) + sqrt(833) + 1).\nAnswer: -14858 - 650*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-276))\/((-21)\/(-31395)*-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(425) + 1)**2 + ((sqrt(17) + (-1 + sqrt(17))*-3)*5)**2 + 3.\nAnswer: -290*sqrt(17) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -316960 or 9\/2?\nAnswer: -316960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + 2 + (sqrt(108))**2 - (-3 + sqrt(75)) - (2*sqrt(729) - sqrt(729) - sqrt(9))\/sqrt(3)*-1.\nAnswer: 4*sqrt(3) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10098, -5.\nAnswer: -10098, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -51, 434, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 3. Let q(g) be the second derivative of 343\/60*g**6 - 19\/3*g**d + g - 49\/40*g**5 - 2*g**2 - 35\/4*g**4 + 0. Factor q(b).\nAnswer: (b - 1)*(7*b + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 3*d + 6 = 0. Solve 0 = 5*y - d*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -29, -55, -103, -179, -289, -439?\n\"Answer: -y**3 - 5*y**2 - 4*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 640 = -74*f. What is the remainder when 297 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411512561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 3:46 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 327*a - 343*a + 2096. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/12*-2*9. Let o = 0 - 2. Let n be 46\/36 - (-3)\/o. Which is the smallest value?  (a) -1\/5  (b) s  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59121855 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56 - (183 + -108)) + -46 + 2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10473227, 10473198, 10473157, 10473098, 10473015, 10472902, 10472753, 10472562?\nAnswer: 10472323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15823 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1166 and -0.2.\nAnswer: 0.02332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*v = 66*v + 8846. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1946 = -4*r. Suppose 5*u - 12191 = -r. Find the common denominator of u\/(-864) - (-10)\/(-45) and -91\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -1815, 11, -5, 3 in descending order.\nAnswer: 13, 11, 3, -5, -1815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 89210911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18031723477420 - -1.\nAnswer: -18031723477419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-123)\/33 - (-280)\/105*(45\/(-6))\/(-5).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7  (b) 0.06  (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(112)*-2 + -4 + (-4*sqrt(112)*1)**2).\nAnswer: -7152 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.833655ml to litres.\nAnswer: 0.000833655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.08771 and -3196343019?\nAnswer: 3196343019.08771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-1)*(-1 - -2). Suppose 7*q - 3*q + 2*y = 646, -q + o*y = -156. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000220831 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*i + 2. Let v be -1 - (2 + -6) - i. Factor -1\/4*d**2 + v - 1\/4*d.\nAnswer: -d*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2341112.\nAnswer: 2, 29, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 20b530ba?\nAnswer: -20b53102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3120 divided by 208.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/(-21)*(-154)\/99*(0 + 1). Let p be (-6)\/27 + 4\/18. What is s in -g*s**2 + 0 - 4\/3*s**3 + 4\/3*s**4 + p*s + 4\/3*s**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -774, -752, -708, -636, -530?\n\"Answer: k**3 + 5*k**2 - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10651, 21295, 31925, 42535, 53119, 63671?\nAnswer: 74185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -159 divided by 129702\nAnswer: -53\/43234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 + 41*q + 5*q - 46*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1111121110 + -2022?\nAnswer: -1111200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t**2 - 855*t + 855*t)*(-396 + 3*t**3 + 427 - t**3).\nAnswer: -8*t**5 - 124*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 3  (b) 1\/11  (c) 2077\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -6*r**2 + 187*r. Let n(m) = -326*m - 10. Let p(b) = -98*b - 3. Let u(t) = -3*n(t) + 10*p(t). What is u(z(l))?\nAnswer: 12*l**2 - 374*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*i - 4*k, 0*k - 5 = 2*i + k. Is -3\/10 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0*2\/(-8)*-4. Suppose i + i - 4 = j. What is the common denominator of i and -41\/47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 718 - 293. Suppose -12*r + 17*r = p. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.46 + -6.460349. Round o to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -12*t**3 - 30*t**2 - 13*t. Let d be s(-2). Solve 2*g + 12 = -4*i, -d*i + i = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 18*j**2 - 18*j - 7. Let n be v(19). Let y be (74\/n - (-6)\/(-36)) + 0. Let c(u) = y*u - 4*u + u. Let f(g) = 18*g**2. Determine c(f(s)).\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 81*v**2 + 9*v - 10*v + 32*v**2. Is o(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -36*t. Let b(s) = -5*s**2 - 3*s + 3. Let z(p) = 4*p**2 + 2*p - 2. Let r = 52 - 49. Let o(c) = r*z(c) + 2*b(c). Determine g(o(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*t + 11. Let u be (4\/12)\/(t\/36). Solve -u*a + v + 1 + 3 = 0, -3*v = -3*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64278.\nAnswer: 2, 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -417, -414, -409, -402?\n\"Answer: c**2 - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*s**2 - 32*s**3 - 2*s + 0*s + 2*s + 29*s**3.\nAnswer: -3*s**3 - 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**8\/840 + 8*d**7\/525 - 7*d**6\/100 + 11*d**5\/75 - 2*d**4\/15 + 3*d**2 + 9*d. What is u in p(u) = 0?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25659907 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 229 = 5*u + 210, 4 = -2*u + 5*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 17624 = -6*y + 10*y, 8800 = -2*k + y. Let p be ((-861)\/(-36))\/((-1)\/(-183)). Let w = k + p. What is the common denominator of 18\/13 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8033453 to the nearest integer?\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 2 - (-102 + (-15 + 28 + -26 - -38))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -684 (base 13) to base 7\nAnswer: -3162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41198 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x - 3. Let l be w(-5). Let j(u) = 2*u - 1. Let y be j(l). Let q(t) be the second derivative of t**3\/6 - 2*t**2 - 9*t. Determine q(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 44812 = -61*p + 115*p. Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9901, 20698, 31495, 42292, 53089?\n\"Answer: 10797*h - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*t**5 + 2*t**4 - 2*t**3 - 8*t**2 + 3*t - 53.\nAnswer: 2460*t**2 + 48*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -2, 3\/2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1558*h**2*s**3 + h*s**2 + s**3 - 7*s wrt h?\nAnswer: -3116*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1055818 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - ((-225)\/(-27) - (-12)\/(-9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 + 7 = 0. Let i be (-1*2)\/(9 + x). Let j be 2\/2*(-1 + 0). What is the nearest to -1 in j, 0.1, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79226911.\nAnswer: 59, 1342829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50016 is divided by 2020?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30.35 - 31. Let s = -0.05 - k. Let i = 4.4 + s. Which is the second smallest value?  (a) 3\/8  (b) i  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of b**3\/3 - 4*b - 3. Let v be 5\/(0\/(-10) + 1). Let l(g) = 5. What is v*r(k) + 4*l(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10 - 14) + (-2 - (-3 + 1)). Let o(y) = -3*y + 1 + 0*y**2 - y - y**2. Let i be o(z). Solve -5*r - 4*w = -8, i = -r + 5*r + 5*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, 313, 1327, 3367, 6775?\nAnswer: 11893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 108 = 52 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 times 0.72?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 562679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-7))\/(23\/483)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, s: 7, a: 4, i: 1, t: 2}. What is prob of picking 2 a and 1 q?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -12210 (base 3) to base 15\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 1076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2079 and 14306985?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(1700) + -1 + sqrt(1700))**2 - sqrt(17)) + sqrt(17) + sqrt(68)\/sqrt(4) + -5.\nAnswer: -39*sqrt(17) + 6794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2 - 60*d + 10*d**4 - 2*d**5 + 56*d - 10*d**3 - 8*d**3 + 18*d**2.\nAnswer: -2*d*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1312*x - 1028*x - 84120 = 51348. What is the highest common factor of x and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -235704 (base 8) in base 9?\nAnswer: -132787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*i*o**3 - 182093*i*z**2 - 2*o**3*z**2 + 7*o**3*z + 3*o**2*z + 22*o*z**2 - 227*o*z wrt i?\nAnswer: -7*o**3 - 182093*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 118  (b) -0.31  (c) -0.1  (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = u - 2*u - 4*s + 44, 31 = 3*u + 2*s for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 - -1)\/(3\/(-3)). Let b be 0\/1 - (1 - 1). Let h = b - u. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 9 = -7*i. Solve i*k = -11*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1344 - -242424?\nAnswer: 241030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51720 and 279288?\nAnswer: 1396440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*g - 26*g = 26*g. Let y be 1 + -1 + (0 - -1). Let z be (y - 0)\/(1\/1). Solve 4*p + z = 5*t, 3*t - p - 2 = -g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -b6?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1616882 divided by -8?\nAnswer: 808441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c + 4. Let z(k) = 4*k + 3. Let j be z(-2). What is x(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24899 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1342 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -10*g**2 - 2*g - 1. Let i be p(-1). Let t be ((-63)\/6)\/(i\/(-24)). Let v = 29 + t. Let d(z) = 9*z**3 + 2*z**2 - 1. Give d(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1615244115 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 1 - 6\/(-3). Suppose z + q - 6 = 0. Suppose 7*r = z*r + 10. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4.2, 0.108, -2, -4 in descending order.\nAnswer: 4.2, 0.108, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.02 + 7.02. Let z be 91\/(-35) - (-6)\/10. Let m = z - -4. Which is the second smallest value?  (a) -1\/2  (b) d  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 - 15*v**2 - 5*v - 18. Let o(h) = -h + 23. Let b be o(12). Let u be w(b). Suppose -u + 294 = -5*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.5 + -2.50227. What is k rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9*(-2 + 1 + 2). Let q(r) = r**3 + 8*r**2 - 10*r - 9. Let t be q(w). Suppose t = -4*b + 4 + 4. Solve -g = b*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/5  (b) 0.3  (c) 2\/3  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + sqrt(396) + sqrt(396) + -1)*-2)**2.\nAnswer: -168*sqrt(11) + 19408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -12*o**2 + 2*o - 2. Let q be f(1). What is the remainder when 93 is divided by 256\/q*9\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -476a707?\nAnswer: 476a70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21038 - 21037.879. Which is the fourth smallest value?  (a) j  (b) 1\/4  (c) 6  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 335158\/23 - 14572. Put p, 3, -3, -25, 2 in increasing order.\nAnswer: -25, -3, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -410244 = -14709*g + 398751 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67*a**3*h**2*v + 43*a**3*h*v - 1197487*a*h**2*v**2 - 17*a*v**2 - 1270*a*v wrt h.\nAnswer: -134*a**3*v - 2394974*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*f - 2. Suppose -w - w + 6 = 0. Find the second derivative of 2*v**2 - 2*v**f - v - v**w wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108438632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 6 = 4*o, -92*w - 15 = -4*o - 97*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18444737 or -18444736?\nAnswer: -18444737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17523874427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (424\/2385)\/((-4)\/10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1113412110 - -133?\nAnswer: 1113412243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 615*(-2)\/(-62)*(-2692)\/6730 + 8.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + -1bc?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 - 9*w + 257. Let p be g(-21). What is the closest to 4 in p, 2, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2b6 + 3?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 4 + 11. Let r = l - -9. Let i = r - 5\/2. What is the third smallest value in -0.3, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 951*n - 12. What are the prime factors of h(2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27798*z - 16130*z - 7963 + 29*z + 7963.\nAnswer: -43899*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 u when three letters picked without replacement from uvzguuguuguu.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**4 - 3*m**3 + 14*m**2 + 9*m - 18 = 0. What is m?\nAnswer: -3, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = c + 3*c + 5*m + 16, -5*c - 3*m = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2. Let m(t) = t - 3. Let g be 6 - 0\/(3\/(-3)). Let q(i) = -g + 2 + i - 1. Let r(f) = 5*m(f) - 3*q(f). Determine u(r(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**3*c**(-1\/3)\/c)\/((c**1\/c*c)\/c*c\/((c*c**(2\/5))\/c*c)))**(-41) assuming c is positive.\nAnswer: c**(-1271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6*-2.834\nAnswer: -17.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*((((p*p**(12\/7)\/p)\/p*p*p)\/p*p)\/p)\/p*p)\/p**(-2\/71))\/(p**(-6)*p*p\/(p*p**(5\/4)*p)*p*p) assuming p is positive.\nAnswer: p**(15889\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 791*b + 688*b - 387*b + (2*b - 2*b - b)*(0 + 4 - 6) as z*b + m and give z.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5190 + 7118. What is the lowest common multiple of s and 723?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**3\/2 + 45*a - 46. Let k(o) = 978*o. Calculate k(c(g)).\nAnswer: -2934*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19.9 + -19.5. Which is the biggest value?  (a) -1  (b) 49  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/4 - 10\/20. Suppose -28 = -l*c - 2*c. Suppose -4*s = -23 + c. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/11, 0.5, 0.06, 5, 6\/11 in descending order.\nAnswer: 5, 14\/11, 6\/11, 0.5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3*n + 799 = 0, 4*b - 3*b = n - 412. Let d = -222 - b. Calculate the highest common divisor of d and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1003 (base 5) to base 8\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/255*(-1 - (6 + (-136)\/16)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {v: 1, q: 1, u: 1, z: 1, e: 1, y: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -84.01.\nAnswer: 252.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.78 + 0.22. Suppose -4*f = 4, -4*f - 27 - 13 = 4*o. Let z be (-16)\/10 + (-18)\/o. Which is the second biggest value?  (a) -2\/3  (b) z  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5641 - -5641. Solve t + 25 - 24 = o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 6*p**2 - 11*p - 10. Is 4 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.5949555 months?\nAnswer: 0.0049579625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2236 - 3?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 2*y**2 + 10*y - 24. Determine t(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -15*k**3 - 2*k**2 - 2*k + 13. Let f be c(-7). Calculate the highest common factor of 43 and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33 - 7da3a0?\nAnswer: -7da3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(-9)*(3\/1 - 18). Suppose -5*x = 3*o - 563, x = 3*x - u*o - 219. Suppose 0 = 2*h + x - 126. Solve -h = -4*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1256952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-15064)\/(-88) + 2\/(-11). Suppose -2*x - 2*x + 3*r = -680, r = x - d. Let n = x + -40. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 + j + 666. Calculate o(0).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - t - 2*t - 3)*(740 - 292 - 856 - 288).\nAnswer: 2088*t - 2088","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -5*o**5 + 55285*o**4 - 165685*o**3 - 1381645*o**2 - 1160670*o = 0.\nAnswer: -3, -1, 0, 7, 11054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 11:12 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30990141 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -6008?\nAnswer: 6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l + 17. Let q be j(-4). What is the greatest common divisor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 10*t + 9. Let x be w(-10). Suppose x = 3*g + 99. List the prime factors of (-78)\/(-4) - g\/20.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113 + (70 - 32) - 43\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33657.8 + -30019. What is q rounded to the nearest ten?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -1457676, 13 in descending order.\nAnswer: 13, -3, -4, -1457676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -441 - -472. Suppose -30*s + w*s - 18 = 0. Solve -s = -6*l + l - 2*k, 20 = 5*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10\/9?  (a) 5  (b) -135  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.230416nm?\nAnswer: 0.000000000230416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001414376953 rounded to 7 dps?\nAnswer: 0.0014144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.1, -3, -0.01, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -35882454?\nAnswer: 35882457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4435 - 4432. Which is the closest to 0?  (a) -0.1  (b) 5  (c) 24  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2088.9 - 10691233\nAnswer: -10693321.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -2.78, 9, 2.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 97 + -64. Let r = i + -25. Suppose -6*j = -10 - r. Solve d = -j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 406 (base 11) to base 4\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010011110101 + 100?\nAnswer: -110010011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 13. Suppose -4 = l - 4*s + 6*s, -5*s + 3 = -4*l. Let z(w) = 2*w + 1. Let q be z(l). Sort a, q, -4.\nAnswer: a, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 4*x + 244, -4*y - 4*x + 129 = -131. What is the remainder when 4597 is divided by y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5*w**3 + 2*w**2 + 3*w + 1. Let a be n(-1). Let l(g) = -53*g**2 + 7*g + 3. Let y be l(a). Let c = y - -2066. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373660018 to the power of 1\/2, to the nearest integer?\nAnswer: 19330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - -136) + (-2 - -4). Let r be 22 + (-6)\/(-3) + 72\/18. What is the greatest common divisor of k and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*p + 1412 = -64*p + 6056 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 960 - 270 = 3*d. Suppose -a - 2*a + 3*c + 171 = 0, 3*c + d = 4*a. What is the greatest common divisor of a and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27334753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-36)*9*(-19)\/(-133).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/13 - 6638*x\/13 + 6640\/13.\nAnswer: -2*(x - 1)*(x + 3320)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133 and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5789781.\nAnswer: 3, 113, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 16507216050197 and 6.\nAnswer: 16507216050203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(243) - (sqrt(243)*-1 + -4)) + 5*(0 + sqrt(243)) + sqrt(243)))**2.\nAnswer: 14400*sqrt(3) + 389200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1164 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 812, -4 in ascending order.\nAnswer: -4, 4, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -5*a**4 + 105*a**3 - 366*a**2 + 334*a + 48. Let q(w) = 55*w**4 - 1155*w**3 + 4025*w**2 - 3675*w - 520. Let p(u) = 6*q(u) + 65*z(u). Factor p(k).\nAnswer: 5*k*(k - 17)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 3)\/(((-33)\/110)\/(9\/(-6)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 19*k - 14*k = -115, -6 = -k. Which is the third smallest value?  (a) h  (b) -0.4  (c) 5  (d) -1\/3  (e) -4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 10*o**3 + 11*o**2 + 4*o**2 + 14 - 5*o**2. Let w(j) = 2*j**3 + 2*j**2 + 3. Suppose -238 = 485*n - 468*n. Determine n*w(a) + 3*y(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 29861.42 micrometers in millimeters?\nAnswer: 29.86142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**4\/4 - 6*y**3 + 31*y**2\/2 + 20*y - 2315. Give a(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 8*s**2 + 10*s - 6. Let j be c(9). Let p(f) = -f**2 + 5*f + 2. Let r be p(j). Let u(l) = l**2 + l - 4. Let b be u(-3). Sort b, r, -2.\nAnswer: -2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/551030568?\nAnswer: 1\/551030568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -88*s**3 - 948647*s**2 + 4*s - 12614084?\nAnswer: -528*s - 1897294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 580*l**4 + 20*l**2 + 10*l wrt l?\nAnswer: 13920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 3. Let q(s) = -s**2 + j*s**2 - s**2. Let z(o) = 2*o**2. What is q(z(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*m + 79*m**2 - 12*m - 284*m**2 to r*m**2 + k + i*m and give r.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -336, -674, -1012, -1350, -1688?\n\"Answer: -338*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -137\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-2 + sqrt(216)\/sqrt(2) + -5)**2.\nAnswer: -40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 8*t - 5. Let p(o) = 18*o - 19. Let x(s) = s + 1. Let q(g) = p(g) + 5*x(g). Determine 11*b(d) - 4*q(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-2) + 3\/6. Suppose y*t = 3*v - 109, -4*v = 4*t - 61 - 31. Calculate the highest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22315?\nAnswer: 5, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -475*o**4\/4 + 706*o**3\/3 + 473. Find the third derivative of c(h) wrt h.\nAnswer: -2850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77 - 61. Suppose -4*l - 15768 = -o*l. Suppose -10*u + l = -446. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - -101619.271.\nAnswer: 101619.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/1*(-1190)\/408*-75. Let o = p - 883. Let b(l) = 2*l**3 - 12*l**2 - 11*l - 15. Let q(i) = i**3 - i**2 - 1. Let c(s) = -b(s) + 3*q(s). What is c(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - -5)\/((-8)\/7). Let f be ((-72)\/(-16) - 4)\/((-4)\/(-18)). Let t = k + f. Which is the second smallest value?  (a) t  (b) 1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 20*c**2 + 8*c + 8. Let x(n) = -4*n**2 - 3*n - 3. Let q(d) = 7*d**2 + 6*d + 6. Let y(a) = -3*q(a) - 7*x(a). Give 3*u(j) - 8*y(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-32)*-14 - 2\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -458 <= -915\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -159, -332, -505, -678?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-12))\/(5 + 4498\/(-819))*-2. Is v != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, j: 10, k: 4, q: 2}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j = 3*j - 4*j + 14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14445 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1648 + 2325. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/9*(-834)\/1112?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39452 - 39450. Factor 1\/2*y**2 - 5\/2*y + h.\nAnswer: (y - 4)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210933241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4a188 (base 12) in base 15?\nAnswer: 1eb82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {h: 2, a: 14, x: 1, u: 2}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 51*k**4 - 138*k**3 + 291*k**2 + 141*k - 381. Let c(w) = 5*w**4 - 14*w**3 + 29*w**2 + 14*w - 38. Let v(u) = 21*c(u) - 2*m(u). Factor v(n).\nAnswer: 3*(n - 3)*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*z + 5*z - 605 + 4*z)*(-2*z + 2*z - 4*z)*(-z + 1 - 1) as n + y*z**2 + r*z + c*z**3 and give y.\nAnswer: -2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48)\/sqrt(4) + -5*sqrt(12))*6)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 - 24*d - 46. Determine x(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w + 20. Let u(x) = -12*x - 79. Let n be u(-6). Calculate the remainder when 512 is divided by p(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-376)\/10)\/(35\/(-25) - -1). Let b = u + -75. Suppose -5*j - 5*q + b = 4, 5*j - 24 = 4*q. Solve v = 3*v + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(80) + (1 + sqrt(80))*4 - (-3 + (1*sqrt(80))**2)).\nAnswer: -100*sqrt(5) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 5:02 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a + 4*d - d, 4*a = -2*d + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12291062, -24582118, -36873174?\nAnswer: -49164230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0795066 and -518?\nAnswer: -41.1844188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-4) - (49\/(-28) - -1). Sort 9, 0, q in decreasing order.\nAnswer: 9, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/2)\/a**0)\/((a**(-7\/3)\/a)\/(a**(-2\/17)\/a)))**(-33) assuming a is positive.\nAnswer: a**(-1925\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -n - 7. Let k = n - 32. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -11 + 144*y - 35*y - 45*y - 45*y. Let b(g) = -13*g + 8. Let s(m) = -5*a(m) - 7*b(m). What is s(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17847 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 159*j**2 - 4*j + 3. Let h be (2\/(-3))\/(6\/(-18)). Is w(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = 446 - 464. What are the prime factors of 473*(6\/(-3) + m)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 972449976 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/8*11\/(297\/(-18))*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/14 - 0\/5. Which is the third biggest value?  (a) r  (b) 0.16  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.2  (b) -9  (c) -126  (d) 619  (e) 1\/8  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 32569254?\nAnswer: 358261794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20299913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 30064 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2119 divided by 4.\nAnswer: -2119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3979*n + s = -3983*n + 14, 5*s - 70 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from neeeeeennnenee?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rog when three letters picked without replacement from agocrch.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2dd - 0?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -84*l - 2. What is j(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 6 = -11*c. What is the units digit of (-4686)\/(-10) + 4*c\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 9:32 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4962656*h**5 - 436*h**2 - 2*h + 5253 wrt h?\nAnswer: -297759360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111421738.\nAnswer: 2, 19, 2932151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1131 by -13.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -13. Let s = -237\/5 - -47. Let k = -0.4 + 0.8. Which is the nearest to j?  (a) k  (b) -4\/5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3757*q**2 - 2*q - 143*q**2 - q + 3*q to s + o*q**2 + z*q and give o.\nAnswer: 3614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1*(sqrt(245) + -1 + sqrt(245) - sqrt(245)) + (sqrt(245) - (-1 + sqrt(245))*4))*-4)**2.\nAnswer: -1344*sqrt(5) + 15824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -19980*-1178\nAnswer: 23536440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 13) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b**2 - b + 1. Let m(p) be the second derivative of p**4\/2 + p**3\/6 + 3*p. Let q(n) = -3*d(n) - 2*m(n). Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*s - 289 = -2*t, 0 = 5*t - 4*s - 360. Suppose -18 = -6*o + 6. Calculate the remainder when t is divided by o*36\/4*3\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30*m*p**2*u - 313*m*u - 4*m + 24*p**2 + 1831*p*u wrt m?\nAnswer: 30*p**2*u - 313*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -385414.199921 + 385419.2. Let g = 5 - i. Round g to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -4*i**3 + 3853796*i**2 - 928205071456*i - 13923943189440 = 0?\nAnswer: -15, 481732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 174\/12 + 1\/2. Let u(j) = -j + 15. Let z be u(v). Solve z = 2*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 3, -34\/59, -0.5, 0.3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-28 + 33)*7928\/10. Does 17 divide (-26)\/117 - k\/(-18)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -6, 4*z = 6*d - 2*d + 136. Let t = -25 - d. What is the remainder when 30 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*s + 2 = 9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 = 1. Let c(r) = 3 - 3*r**2 - 8*r**3 + 9*r**k - 3*r - 1 + 2*r. Suppose 0 = 2*g - 3 - 3. Give c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 13, -21, -75, -155, -267, -417?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/792 + (-409)\/17996.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + 14*z - 6. Let r = 44 + -34. Let i be w(r). Let n(x) = x**2 + 8*x + 1. Let f be n(6). What is the highest common factor of f and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 7*t + 20. Suppose n - 27 = -3*p - 110, -2*n - 50 = 2*p. Let o be ((-7)\/(-7))\/(-2) + p\/(-2). List the prime factors of s(o).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexxuxzzexxzg. What is prob of sequence eu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -3*c**7\/35 - 7*c**3\/6 - 4*c**2. Find the first derivative of g(b) wrt b.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52095 - 1369*u**2 - 52095 to the form j + q*u**2 + a*u and give q.\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i - 5. Calculate z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15098 + 15500 = -771*r - 42774 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i**2 + 7*i**2 - 2*i**2 - 18 - 5*i**2 + 5*i**2 to t + j*i**2 + d*i and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t - 207164 = 10*t - 583255. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15525336 (base 7) to base 15\nAnswer: -1ea2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**6\/1440 - n**5\/120 + 7*n**3\/6 - 27*n**2. Let x(p) be the first derivative of k(p). Let x(d) = 0. What is d?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -4*o**3 + 1. Let t be w(-1). Suppose 0 = -5*s - t, -x = s - 2 - 2. Solve 33 = 2*z + 5*c, 4*z - x*c = -4 - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58\/1247 - ((-1520)\/14190)\/(-1)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**29*r)\/r*r**(1\/2) assuming r is positive.\nAnswer: r**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7729*g*t**2 + 4*g*t - g + 3*t + 50 wrt t.\nAnswer: -15458*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 12:50 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2211*a**2 - 76*a + 205. List the prime factors of v(3).\nAnswer: 2, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 1362*d - 5060*d**2 - 4810*d**2 + 9857*d**2 as k*d + z + f*d**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13370 = -21*a - 4550. Calculate the greatest common divisor of 300 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73 + -66. Let w(q) = 11*q + 46. What are the prime factors of w(t)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*((h\/h**(-3))\/h)\/h*h)\/(h*h\/h**5))**(-43))**(-43) assuming h is positive.\nAnswer: h**14792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 4*z**2 + z - 4. Let k be m(4). Suppose -h - 5*j = -3*h + 11, k = -2*h + 4*j + 10. What is the derivative of -3*a - h + 5 - 4 + 3 wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 36*b**2 + 37*b - 63. What is g(-37)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -8. Let t(z) = z**2 + 4*z + 6. Let u be t(-3). Suppose 39 = 3*s + u*x, 1 = -3*s - 0*s + 5*x. What is the lowest common multiple of f and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 2*h - 21. Suppose -3 = -b + 4*s, -19 = -3*b - 4*s + 6*s. Let q(z) = -2 + z + b - h - 3. Determine q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152306600 (base 7) to base 6\nAnswer: 1001554015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-21)\/(-55) + 4 + 184\/(-44). Find q such that f*q**2 + 0 - 2\/5*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - -110110000?\nAnswer: 110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/(-6)*2193\/16082. Which is the smallest value?  (a) 5  (b) -382  (c) 1  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -85*b**3 + 25*b. Let h(a) = -7*a**3 + 2*a. Suppose -9*y + 550 = -31*y. What is y*h(r) + 2*l(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 9 = 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/135)\/q)\/((((q**(-28)\/q)\/q)\/q)\/q*q)*(q**(-2\/21))**45 assuming q is positive.\nAnswer: q**(24286\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 178856 and 1580.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6374277 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 132\/(-242) + (-182)\/(-132). Let x = y - -2\/3. Let i = 1 + -2. Which is the third biggest value?  (a) x  (b) i  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 13, a: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95386?\nAnswer: 2, 37, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 13 = 71. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) 1\/6  (c) 31  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13 + (-254)\/635*10\/4. Let x be (-56)\/(1*2)*-1. Find the second derivative of -k*l + 50*l**5 + 3*l - 16*l - x*l**5 wrt l.\nAnswer: 440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*b - 1 - 1 + 2.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 8\/1701?\nAnswer: 8\/1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 2*g + 2*g)*(-2*g**3 + 2*g**3 + 22*g**2 - 2*g**3).\nAnswer: -6*g**4 + 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 48, 125, 0.\nAnswer: 0, 3, 48, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9677 is divided by 9557?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 16*z**2 + 128*z - 19981. Is h(119) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(((-12)\/(-14))\/(-6)) + -7. Let h(d) be the first derivative of 12 + 2*d**4 - 2\/3*d**3 + 0*d**2 + u*d. Find the third derivative of h(m) wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c6 + 1035?\nAnswer: c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.12 in -1\/26, 2, 1?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 29 = f + 34, -2*y - 14 = -2*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k. Let l(z) be the second derivative of -z**3\/2 - 13*z**2\/2 - 8*z. Let s be l(-5). Let v(r) = -s*r**2 + 3 + 0 - 3. Calculate c(v(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 divided by -70670?\nAnswer: 33\/14134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 6*c + 7. Let d be o(5). Suppose -4*n - d*m - 2*m + 20 = 0, -2*m - 25 = -3*n. Suppose -t - n = -10. Solve t*g + 15 = -0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, k: 1}. What is prob of sequence ux?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -299, 43, -25 in decreasing order.\nAnswer: 43, -5, -25, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3397*i + 534. Let f be r(-8). What is f rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*a + 0 + 3\/4*a**3 + 3*a**2.\nAnswer: 3*a**2*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21992 = -2291*t - 218*t - 94*t - 146*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i - 11 = -101 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + a**2 + a + 3. Let c be h(0). Let y = c - -2. Put 3, 0, y in decreasing order.\nAnswer: y, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -172*c + 153*c - 171. What is the biggest value in 85, c, 0?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -6*z - 5. Let f(b) = -b**3 - 5*b**2 - 5. Suppose y + 2*y = -15. Let g be f(y). Is j(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 5*w - 10 = 0. Solve 0*k - 13 = w*k + 2*z, 2*z + 9 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l - 68 = -l. Let n(s) = 14*s - 8 - s**2 + 5 - 7*s**2 - 6*s**2. Let z(f) = -5*f**2 + 5*f - 1. What is l*n(j) + 11*z(j)?\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12507181\/733 - 17063. Let m = 8810\/5131 - n. Calculate the common denominator of m and (-697)\/30 + (-2)\/(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -1daecc?\nAnswer: -1daec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 84077487 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -9*s - 4. Let y = 131 + -134. Let u(n) = -8*n - 3. Determine y*a(r) + 4*u(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q + 5256 = -10*q. Let d = q + -251. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (7 - (-25 + 22)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**3\/5 - 372*u**2\/5 + 1344*u - 27904\/5 = 0 for u.\nAnswer: -109, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 3*d + 27 = 0, -103416*d = -4*a - 103418*d + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -728 = -49*z - 42 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 4:47 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -559 + 559.0002064. What is q rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2)*w**(-2\/5)*(w\/(w*w\/w**(-1)*w))**(-29)*w**(5\/6)\/((w*w**(-2\/3)\/w)\/w*w)*((w*w**(-2\/21)*w)\/w)\/w*w**0 assuming w is positive.\nAnswer: w**(18061\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -75*h - 10864. Determine b(-141).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 138 and 230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 83493, 83523, 83577, 83667, 83805?\n\"Answer: 2*p**3 + 16*p + 83475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 163*m**2 + 109 - 154*m + m**6 + 152*m + 648*m**5 - m**3 - 159*m**2 wrt m?\nAnswer: 120*m**3 + 38880*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -4 + 6 - 9 - 0) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1967\/2059 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 0 = 4*g - 6, r - 2 = 4*g. Suppose 0 = p + r*z + 2, -p + 0*z + 26 = -5*z. Let s be 2\/p + 15\/(-35). Which is the closest to 0?  (a) s  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*n = n. Suppose n*b - 28 = -2*b. Suppose -b + 74 = w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46610884 is divided by 9322174.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 21477 + 21427 = 5*l, 15*l + 180 = 5*n for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*k + 191*k - 34*k - 75*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 16*s. Let y(v) = 7*v. Give y(u(z)).\nAnswer: 112*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h. Let k = 1 + 4. Let p(s) = -s. What is k*m(b) + 2*p(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -32\/699 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 3*t - 25, 4*o - 23 = 140*t - 143*t. Solve d + 9*i - 4*i = 1, o*i - 18 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of w**5\/60 + 5*w**4\/24 - 11*w**3\/6 + 9*w**2. Let v be g(-11). Calculate the greatest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -15. Which is the third biggest value?  (a) x  (b) 1  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**2 - 15450 + 15450 - 2*w + 7*w - 5*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x. Let i(o) = o**2 - 14*o + 13. Let j be i(13). Let t be (j - -8)\/4 - 0. Let r(f) = -14 + 14 - f**t. Determine v(r(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m = 8*m - 112. Let s be (-3)\/((-12)\/m)*1. Is (-4722)\/(-14) + 4\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-6)\/(-8)*246468\/6486?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -12. Let o be -3 + d + -2 - -8. Solve o*b - 41 = 4*h, -4 = h - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/11?  (a) -95  (b) 0.8  (c) -1.2  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g*j**2*u + 71438*g*u + 23*j**2*u + j**2 - 3*u - 124 wrt g.\nAnswer: -j**2*u + 71438*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 - -86. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -3, -0.4, -0.2, 8\/23, -102\/13?\nAnswer: -102\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 319, 135, -49, -233, -417?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 151 + -21. Let n = j - 63. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 9*u**2 - u - 10. Let p be j(-9). Let s be 4\/(-18) + 11\/9. Let i = s - p. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.5 + 18.5. Let y = -19.1 + r. Round y to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 103115, 206314, 309513, 412712, 515911, 619110?\n\"Answer: 103199*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + b - b + (-4 + 4 + 1)*(3 - 3 + 5*b))*(-3*b + 1 + 5*b + 0).\nAnswer: 14*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d*z**4 - 12834*d*z**3 + 2*d - 3*z**4 - 293*z**2 wrt z?\nAnswer: 24*d*z - 77004*d - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j = 2*j - 3078 - 7712. Calculate the least common multiple of j and 581.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 12*f**2 - f + 10. Let t be m(12). Let b be 4\/(t - 32\/(-12)). Suppose b = -0*x + 2*x. Sort x, -3\/2, -3\/7 in increasing order.\nAnswer: -3\/2, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n - n - 1 + 5. Let k be m(3). Let o be 6 - 1*(k - -2). What is the greatest common divisor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 929231705 - -32?\nAnswer: 929231737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + y - 13 = 0, 0*b + 2*y - 14 = -2*b. Let k(p) = 100*p**3 - 3*p**2 + 5*p - 5. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/4*4\/3. Suppose -3*b - 3*c - 14 = -2*b, 3*c = -12. Let o = 5 + b. Put h, -1, o in descending order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000044439307 to 7 dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**2 + 1103*p + 45557. What is f(-39)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*a - 173*a + 50 = -342*a - 5*f, -3*f + 65 = -2*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, e: 5, v: 4}. What is prob of picking 3 v and 1 r?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 8, 3, 4, -2\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z**3 - 4*z**2 + 3*z - 2. Let w be h(2). Suppose -2*b + 4*b + w = 0. Let r = 11 + b. Solve -k - r = -2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*o - 2 = 4*o, -4*b + 13 = o. Suppose -2*t + 25 = b*t. Let s(c) = 2 - c - t + 0*c + 10. Calculate s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83762589 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 29.17. Let m = -1.83 - f. What is the biggest value in m, 0.5, -0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.699 - 118.\nAnswer: -117.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*k*l**3*u - 160*k*l**3 + 43990*k*l + 288*l**3*u + 46552*l**3 wrt k?\nAnswer: 5*l**3*u - 160*l**3 + 43990*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (43*h + 2 - 19*h - 22*h)*(h + 4*h + 0*h)*(24*h**2 - 6*h**2 + 4*h**2) in the form r + l*h**3 + z*h**2 + u*h**4 + b*h and give l.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 12:43 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -32) + -24 - (1 - -19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*j - 45360 = -94*j. Round j to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -1\/5*h**6 + 0*h**3 + 5\/6*h**4 - 4\/15*h**5 + 1\/84*h**8 + h**2 + 8\/105*h**7 - 18*h + 0. Solve k(d) = 0 for d.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -0.17. Let m be ((-6)\/296)\/(-2*27\/48). Let y = -142\/333 - m. Sort y, -2\/7, w in decreasing order.\nAnswer: w, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3140 and 1880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 6, -2*n + n - 20 = 4*s. Is 4\/6 + (-388)\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2018 + -1964. What is the highest common factor of 414 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*i + 4*y - 5, -3*i = y + 18. Let w(j) = j**3 + 5*j**2 - 2*j - 7. What are the prime factors of w(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -3*d - 2*o - 9, -3*o = 5*d + 15. Let y be d\/(-6) - (-6)\/(-28). Let j be 0 - (-2)\/14*1. Which is the nearest to y?  (a) j  (b) -6\/11  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -45*j**2 - 13409*j + 281. What is w(-298)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-1\/4)*y))**26\/(y**1*y*y**(1\/9))*(y**(1\/3))**(-14\/3)\/(y*y**(-2\/11)*y**(-6)*y*y) assuming y is positive.\nAnswer: y**(-1319\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1141, 1142, 1143?\n\"Answer: q + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 7*z - 3. Let a be k(3). Let v = a + -14. Suppose 3*y = 3, g + 4*g - 46 = v*y. What is the highest common factor of g and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 5*u + 68 = 0, 16 = 5*u - u. Solve g = -14*w + 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133551 is divided by 66771.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*r - 3)*(43 - 95 + 138).\nAnswer: -172*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x + 2 - 2)*(-1 - 2*x + 1)*(8 - 4 + 2)*((3 - 1 + 0)*(-2 + 4 + 0) + (8 - 14 - 12)*(-2 + 1 - 1)) in the form a*x**2 + f*x + r and give a.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) 2\/9  (c) -120\/7  (d) -0.579  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, y: 13}. What is prob of sequence vyvy?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-30)\/10)\/((-6)\/(-8)). Let f be (27\/12 - 1)*s. Let o be 24\/9 + (0 - 2). Which is the closest to -1?  (a) o  (b) f  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2, 4, 0.0951, 42\/767?\nAnswer: 42\/767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 5:13 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i**2 + i - 1. Let c be p(1). Let g be 2\/(-1)*2\/4. Let a(l) = -5*l. Let n be a(g). What is the nearest to 1\/3 in c, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of w**3\/6 - w**2. Let u(a) be the third derivative of a**5\/60 + 5*a**3\/6 + 10*a**2. Calculate 4*u(s) - 20*v(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*h - 40*h = 24. Let a be (h*(-14)\/116)\/2. Is a smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -124*u**2 - 535*u - 667*u**3 + 399*u**2 + 265 + 662*u**3.\nAnswer: -5*(u - 53)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 1 + 25 + -2 + (-35 - -32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 162\/107 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 589, -6, -13, -9 in increasing order.\nAnswer: -13, -9, -6, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - 4*m - 6. What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - c**2)*(-14*c + 55 - 55 + (0*c + 0*c + c)*(-2 - 1 + 2)) + (-1 - 1 + 1)*(7*c**3 - 2*c**3 - 3*c**3).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2735288.496945 from 9.\nAnswer: 2735297.496945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(((-12)\/(-8))\/3). Suppose 5*j - 4*s - 49 = 1250, 0 = -q*j - s + 530. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)*1*1 + sqrt(132))\/sqrt(12) + 2 + (((sqrt(66)*-1 - sqrt(66))*-5 + sqrt(66))\/(sqrt(48)\/(2*sqrt(8))))**2.\nAnswer: 2*sqrt(11) + 5326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 26*t**2 - 15*t - 19. Let h be ((-25*1)\/1)\/(7 + -6). Let z be g(h). Let p = -590 + z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2120 - 2103001?\nAnswer: -2100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 1, h: 1, k: 1, l: 5, c: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70517628 and 32244.\nAnswer: 70517628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -4*a**2 - 165. Let q(i) = -11 + 80*i - 73*i + 5 + 6. What is h(q(l))?\nAnswer: -196*l**2 - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201594 is divided by 10079?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*o + 3*o. Suppose -5*k + 3*n = -2*n - 30, -3*k = -5*n - 8. Suppose -3*i + k = -2*h, -17 = -3*i - 2*h + h. Sort i, -5, o in decreasing order.\nAnswer: i, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p - 4. Let u be i(-3). Let r = -14.292 - -24.292. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l - 35. Let z(w) = 2*w**2 - 31*w + 23. Let a be z(14). Let v be f(a). Solve -c + v*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162 = -4*p + 34. Let d = -24 + p. Suppose d = 4*i - 7. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -9 + 3*k - 11*k - 8. What is the tens digit of b(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3686 a factor of 1727178508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 6:50 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 45477455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 13*d - 11. Determine v(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - (238\/9)\/7. Suppose -w - 4*g + 20 = g, w + 20 = 5*g. Let k = -8 - -6. What is the closest to w in k, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - 2*c. Let h(a) = -12*a**2 - 27*a. Suppose 59 = 4*w + 7. Suppose -11 - w = -3*p. Suppose -2 = 5*x + p. Determine x*h(j) + 27*y(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 55c61 (base 13) in base 7?\nAnswer: 1216340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 136553 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + q**2 - q - 1. Let p(b) = b**2 + b. Let v(j) = 4*p(j) + s(j). Let g be v(6). Let a = 46 - g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*3*1\/3. Suppose t*u - u - 8 = 0. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29148258*c**3 + 141689*c**2 - 16*c + 8 wrt c.\nAnswer: -174889548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and -3395.\nAnswer: -3390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 387 and 0.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 3*k - 835 = -2*j, -4*j = -2*k + 3382. Let m = -556 - j. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104334114 (base 5) to base 7.\nAnswer: 3644264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 2*q**2 - 88*q - 5010. What is w(0)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.08121167 - -0.0812. Round x to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 1 = -r - 18, -5*r = -s + 13. Suppose -2*y + 0*y = 10. Let k be y*(r\/10 - -1). Let t(i) = i**3 + 4*i**2 - 2*i - 2. Calculate t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15381 is divided by 896.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 22*l**2 - 22*l - 15. Suppose -2*x = 5*i - 121, 0*i + 75 = 3*i + 2*x. Let a be y(i). Solve s = 5*s - a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1075 - 1867 - 938)*(-2*v + 1 + 1 - 4) in the form y*v + p and give p.\nAnswer: 7760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6 - 15 + 32*o**2 - 139*o + 42*o**2 + 3*o**3 + 29 - 10 wrt o?\nAnswer: 18*o + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 - -52\/3. Which is the closest to -0.1?  (a) -1\/2  (b) y  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 257823 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 553856 or 553860?\nAnswer: 553860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = n - 7*w + 9*w, -4*w - 355 = -5*n. What is the highest common divisor of n and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -2\/3*k**2 - 1\/9*k**3 + 0*k - 46 + 1\/15*k**5 + 1\/3*k**4. Factor w(y).\nAnswer: y*(y - 1)*(y + 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 326, 611, 862, 1067, 1214, 1291?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -110 at most 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8272\/63 - 919\/7. Calculate the common denominator of 53\/182 and i.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-648))\/((-387)\/36 + 11)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -200\/483 - 1\/69. Which is the biggest value?  (a) q  (b) 1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 25\/8 of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 147 = 5*w, -5*j + 2*j + 117 = 4*w. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 67817.4 millilitres in litres?\nAnswer: 67.8174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -516787 - -5.\nAnswer: -516782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 489*o - 1948. Give l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 5*t + 8. Let 10*r + t*r + 49 + 0*r + r**2 = 0. What is r?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*3*-4)*3*-2)\/(sqrt(144)*-2*-3 - 3*((sqrt(144) - sqrt(144)*2) + sqrt(144))).\nAnswer: -13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -3223*n - 6. Let i be o(-1). Suppose 8*w - i = -73. Suppose 0 = 3*h + 2*u - w, -h - 4*u - 16 = -137. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - -1 - (-1 - 0). Let x(b) = -b + 6. Let p be x(6). Solve t - 8 + 1 = k*r, p = 5*r - t + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1472\/(-112))\/(18\/(-21))?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42281\/9 + 4703. Solve 8\/9 + 28\/9*d**3 + 2\/3*d**4 + k*d**2 + 32\/9*d = 0 for d.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + x = 20. Suppose -2*r + 16 = -2*a - 2*a, 0 = -x*r + 5*a + 19. Solve r*h = -3 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2098 divide 100718626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/3 - 21\/(-18))*4. Suppose 2*z + z = -w*z. Solve 3*k = -z*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 3 + (2 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3003 (base 13) to base 6.\nAnswer: 50310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -180 - -183. Suppose 4 = o*m - x, -x = 4*m - 6*x - 20. Is m greater than -1\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -537*a - 5 = 6*s - 538*a, 0 = -2*s + 4*a - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2790200.\nAnswer: 2, 5, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*k**2 - 74\/3*k + 52.\nAnswer: -2*(k - 2)*(k + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15946080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - x + 2 = 0, 0 = 2*r - r + 2*x. Calculate the least common multiple of 66 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -80, -78, -76, -74, -72, -70?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(2*u - 4*u - u) - 2*u - 18*u - 17*u.\nAnswer: -43*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -5*a**3\/3 + 136. Let p(n) be the second derivative of n**3\/3 - 2*n. Give m(p(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*-3*(-4)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-14846)\/(-780) - (-21)\/(-630)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 12*p**2 - 8*p + 76. What is the remainder when 467 is divided by o(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 11 = i + 8, 0 = i - 3*t + 15. Let d be ((-4)\/6)\/(2\/9) - i. Let z be 10\/3 + d + (-20)\/15. Solve 0 = 4*g - z - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/7 + 16914574*t\/7 + 71525703400369\/7.\nAnswer: (t + 8457287)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**3 + 2*w**3 + 6*w**5 + (4*w - 6*w + 0*w)*(0*w + w**4 + 0*w) + (1 - 2*w**4 - 1)*(0*w - 9*w + 0*w).\nAnswer: 22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -0.13.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -4  (b) -1\/5  (c) 0.3  (d) 5  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -71 + 33. Suppose 1 + 1 = w. Is d*(-1)\/w*1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -10) + -5 + 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 - -38. Let f = -45.8 - -47. Let t = f + -1. What is the third smallest value in -10, w, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -21*v - 301. Let f be u(-14). Let p = 25 + -49\/2. Which is the nearest to p?  (a) -5  (b) f  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 21*h + 24*h - 136 = 0, 5*s - 54 - 79 = -4*h for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1095, -2232, -3313, -4338, -5307?\n\"Answer: 28*f**2 - 1221*f + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8.02. Let q = w + 3.98. What is the second smallest value in -3, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7347 + -896335\/122. Is -4 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -9 - (25 + (4 - 3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00127689 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 87*f - 1088. Calculate j(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 3:11 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3050488 and 40232.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1344 - -1343. Let r(d) = -4*d**3 - 3*d**2 + 17*d + 3. Let j(l) = -l**3 - l**2 + 1. What is q*r(h) + 3*j(h)?\nAnswer: h**3 - 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + -5. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 3*f - 4*v, -5*f - 11*v + 1 = -8*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - p - 3 - p)*(-1 - 8 - 12) to the form z*p + o and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 16*q - 10*q. Does 14 divide (594 + 2)\/(2 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33703 - -33704. Calculate the highest common divisor of h and 3944.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -10*v**2 + 5*v - 5. Let p = 3202 + -3203. Let i(n) be the first derivative of n**3\/3 - n**2\/2 + n - 1. Calculate p*u(y) - 5*i(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -171*y - 139. Suppose 1178*c + 9 = 1177*c. What is the hundreds digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1397 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4a80a (base 12) in base 4?\nAnswer: 120300022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/4, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 12 - 2 = 0. Suppose -96 = w + 11*w. Let g(t) = -t**3 - 10*t**2 - 15*t + 12. Let c be g(w). Solve m = -u + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**33\/r*r*r)\/(r*r*r*r*r*(r\/r**(-8\/7))\/r*r*r))**(2\/101) assuming r is positive.\nAnswer: r**(362\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5965.77 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 132469230 rounded to the nearest one hundred thousand?\nAnswer: 132500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-13)*u**(9\/5))**(-47))**23 assuming u is positive.\nAnswer: u**(60536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -51581799893 + -301\nAnswer: -51581800194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 221?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*r**4 + 722*r - 140092 wrt r?\nAnswer: 52*r**3 + 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -425 (base 6) to base 11.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 400*o**3 - 271*o**2 + 4040*o - 296 - 63*o**4 - 2339*o**2 - 1529 + 58*o**4.\nAnswer: -5*(o - 73)*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 1053*h - 1057*h - 1046*h - 1055*h + 4211*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b767 (base 12) to base 14.\nAnswer: 10c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -16 - (-24 - -13) - (0 + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 9.2. Let p = -33.8 - -34. Let o = p - x. Which is the closest to -0.1?  (a) -0.3  (b) o  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*t - 120 - 13*t**3 + 146 + 34*t as j*t**3 + h*t + g*t**2 + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55\/(-198)*4\/5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010998 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86117?\nAnswer: 86117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + 0*c)*(11*c - 11*c + 5*c) + 0*c**2 + 0*c**2 + 2*c**2 + (2*c - 2*c + c)*(-c + 2*c + 0*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3344 (base 8) to base 7\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qfkf when four letters picked without replacement from {f: 5, b: 1, w: 11, k: 2, q: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1240)\/(-440))\/31*-1*4.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/16))**(-46)*(r*r**(2\/5))**(-11) assuming r is positive.\nAnswer: r**(-731\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37 + 42. Find the second derivative of 42*q - 25*q + 2*q + 31*q**x wrt q.\nAnswer: 620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 961 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: Let p(b) = 4 - 2 + 0 + b**2 - 4 - 2*b. Suppose 0*u = 5*n + 5*u - 45, n - 21 = -5*u. Let m = 4 - n. Let k(j) = 2*j**2 - 4*j - 5. Give m*k(i) + 5*p(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 + -2 - -1) + -27 + 2 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4 = 4*u - 2, 2*l = 3*u + 7. Suppose -l*j - 2*j = 4. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uysu when four letters picked without replacement from ususyusysyuyyyyuyyu.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 35 + 13 = 0. Let y(x) = 69*x**2 + 2*x - 1. What is the smallest common multiple of v and y(-1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19856359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 404 = 11*u - 6*u - 3*i, 332 = 4*u + 2*i. Calculate the highest common divisor of 328 and u.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140.35 - 127.35. Put 0.3, q, 9 in ascending order.\nAnswer: 0.3, 9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2. Let x(l) = 7032*l**2 + 82698*l. What is x(q(r))?\nAnswer: 7032*r**4 + 82698*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -4*a + 78, 75 = -6*a + 10*a - b. Suppose 8*k - a = -11*k. Which is greater: 3\/31 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-20)*n*(n\/(n*(n\/(n*n**(-21)*n))\/n*n)*n*n*n)\/n*n assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -14*x - 24. Let o(q) = 5*q + 8. Let p(a) = -17*o(a) - 6*s(a). Let i be p(10). Let u be (2*(-1)\/5)\/i. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 468 and 110565?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2561, -2557, -2553?\n\"Answer: 4*q - 2565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10568 and 15104314.\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 11:25 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 0*c - c**2 - c + 2*c**2 - c**3 - 2*c + 6. Let b be j(0). Does 5 divide (-2)\/(-12)*3 - (-45)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -5*h - 12, -2*c - 9 + 5 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.6 and -941?\nAnswer: 2446.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1230*s**6 + 2019*s**5 + 21604970*s**2?\nAnswer: 147600*s**3 + 121140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*4\/(-8)*-5. Suppose 0 = 5*m + 5*l + 20, -q*m + 2*l + 15 = -0*m. Solve 1 = -z - m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*h**3 + 1048*h - 4*h**3 - 2109*h + 1061*h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (25\/50)\/(7\/(-288)). Let f = -569\/28 - k. Suppose p - f*p**2 - 3\/4 = 0. Calculate p.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.235 - -0.265. Let w be 1 + 2 + (-441)\/(-12). Let o = 40 - w. Which is the nearest to o?  (a) l  (b) -3  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z**2 - 1. Let y(n) = 26*n**2 + 5. Let o(r) = -31*j(r) - 6*y(r). Let c(m) = 17*m**2 + 2. Calculate -c(l) + 2*o(l).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 10:10 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 58*p + 4273. What is the units digit of s(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/5 - 104*l\/5 + 204\/5.\nAnswer: (l - 102)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -8, -5 in descending order.\nAnswer: 2, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*u = 46*u + 56*u + 5004. Calculate the least common multiple of 27 and u.\nAnswer: 7506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*k = -72*k - 21. Let s(z) = -282 + 556 - 3*z - 277. Let x(r) be the third derivative of r**5\/60 - r**4\/12 - r**3\/3 - r**2. What is k*x(g) - 2*s(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1333.7 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132633654?\nAnswer: 2, 3, 22105609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*l = s - 53 - 9, 5*l - 11*s + 14*s = 44 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, e: 1, o: 3, n: 1, r: 2, i: 3}. What is prob of picking 2 b, 1 n, and 1 r?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000000111010011010101 - 100?\nAnswer: 1000000111010011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 2*t**2 - t + 3. Let o be m(-2). Solve o*f - 13 = 3*v - 1, -4 = -3*f + 5*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7888 - 7884. What is the smallest value in -2, -2\/11, 2\/5, u, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1 - -14169356948.\nAnswer: 14169356949.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 t, and 2 y when four letters picked without replacement from {f: 3, y: 3, t: 2, h: 6, b: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 2. Let z be b(-6). Calculate the least common multiple of 20 and (-14)\/z*108\/63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -35, 1 in descending order.\nAnswer: 1, -1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 632\/88 + -2 + (40\/(-22))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-1)*1\/(-9). Let j be 4\/(-10) - 11\/(-15). Determine b so that x*b**2 - 2\/3*b + j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i - 2 + 47 = 0. Let j(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - c**4\/4 + 2*c**3\/3 + 2*c**2. Does 20 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/15)\/((-12)\/30). Suppose -10*z + 9*z - h = 0. Let l be (2 - z) + 132\/(-34). Is 0 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3296622.3 and -3?\nAnswer: 3296619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -271 - -305. Let a = y - 33.6. What is the nearest to 0 in 0.12, a, -1\/7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*k**2 + 3731*k**3 + 22*k**2 - 3733*k**3 + 65*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-1)\/12 + 95\/20. Suppose 59 - 3 = k*w - 2*r, 5*r = -3*w + 15. What is the highest common factor of 190 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 - 6. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1561 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -60912?\nAnswer: 1\/20304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1018538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19.19 - -19.09. Which is smaller: 189 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1059.11 + 660.18. Let m = -588 - q. Let k = m - -190. Round k to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pkllyy. Give prob of sequence plk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*f = -19*f + 2*l - 6, 0 = -3*f - l - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3\/65 - 281\/455. Sort -2\/9, -5, c in descending order.\nAnswer: -2\/9, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -108053, -462 in decreasing order.\nAnswer: 5, -462, -108053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 68*x**2 - 892*x + 40714. Determine a(64).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -1556, -8 in descending order.\nAnswer: 3, 1, -8, -1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*w**2 + 8 + 504*w - 3 + 11*w**2 - 5 to t*w**2 + g*w + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1513.7 to the nearest ten.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 12, -19, -50, -81?\n\"Answer: -31*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116 = -5*t + 74. Suppose -5*n - t = -7*n. Suppose 3*x - 17 = n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5603028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-131)\/131)\/(1\/(-11))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22 in -1, 2\/23, 2\/1589?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.25 - 0.35. Let g = 0 + -0.5. Sort g, v, 0.2 in ascending order.\nAnswer: g, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2647, 5297, 7949, 10603, 13259?\nAnswer: 15917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (43*19\/1634)\/(2\/16). Let j(a) = 10*a - 1 - 3*a - 2*a + 6. Let v(s) = 11*s + 11. Determine d*v(b) - 9*j(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 52*y**3 + 5*y**2 + 2*y + 4. Let l(q) = -53*q**3 - 6*q**2 - 3*q - 5. Let o(p) = -4*l(p) - 5*v(p). Find the third derivative of o(z) wrt z.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g - 4. Let d(u) = 0 + 3 - 2. Suppose 7*p + 18 = 4*p. Suppose 5*x + 30 = -5*y, 2*x - 3*x + 3*y + 10 = 0. Calculate p*d(m) + x*z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 1017*c**2 - 341*c**2 + 10*c**3 - 2 - 337*c**2 - 337*c**2 - 2*c**3. Let k(g) = g**3 + g**2. Determine -i(v) + 5*k(v).\nAnswer: -3*v**3 + 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 717 minutes after 8:13 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -f**3\/3 + f**2 - f - 919. What is k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/2699 + -40429\/37786. What is the third biggest value in z, 2, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 13*x**4\/8 - 51*x**3\/4 + 27*x**2 + 3*x + 486. Factor b(n).\nAnswer: 3*(n - 3)*(13*n - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 637 + 43. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.417765 years?\nAnswer: 77.01318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20418, -20453, -20490, -20529?\nAnswer: -20570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(120)\/sqrt(12))\/sqrt(2))*-4)**2.\nAnswer: -128*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 124516 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/52 + (-112)\/(-52). Suppose 36 = -j*v - 4*v. Let x be (1600\/v)\/((4\/(-20775))\/(-2)). What is x rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**3 + 2020*j**2 + 18495*j + 37170 = 0. What is j?\nAnswer: -6, -3, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 183617730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 379999427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbjbbbjbbbbjjbjbbj. What is prob of picking 4 b?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6*h + 142. What is the remainder when 37\/1 + 8 + -7 is divided by z(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 16*r**2 + r + 1. Let u be (72\/14)\/((-2)\/(-7)) - 2. Let l be q(u). Solve 3*f = 4*b + 23, l = -3*f - 3*b - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 times -0.21966\nAnswer: 0.010983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8866 divided by 2454\nAnswer: -4433\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of 1363*x**2 + 14*x + 2. Let l(t) = -t**2 - 6*t + 6. Let s be l(-5). Let z be m(s). What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -10*h**3\/21 + 23*h**2\/7 + 20*h\/7 - 8. Factor r(z).\nAnswer: -2*(z - 5)*(5*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/42 and (-96)\/8 - (-5044)\/480.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 14727.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 104 - 120. Sort 1, 5, v.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 20 = -4*y, 167*y - 168*y = 4*p + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 6\/(-5))\/(((-754)\/(-975))\/29)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 7 - 8*y**3 + 4*y**3 + (2*y**3 - 2*y**3 - 6*y**3)*(-4 + 5 + 1) to k*y**3 + c*y + b*y**2 + x and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -15*c. Let u(a) = -14*a**2 + 10*a**2 + 5*a**2. Calculate j(u(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 2:45 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b + 24*b - 12 = 0. Solve t + b*z = -0*z + 7, -4*t = -3*z + 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22 - 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*p - 192 = 0, 2*v + p = -0*v + 391. Let c(w) = 19*w - 2. Let y be c(2). Suppose -b + 10 + y = -2*m, v = 5*b - 3*m. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47.1 + -48.062. Let n = 0.9619998901 + z. Round n to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -0.3, 2\/125, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 479420.4?\nAnswer: 479424.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 868*c**3 - 52*c**2 - 31*c + 3. Calculate d(-1).\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -301 + 901\/3. Which is greater: 0.4 or d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (259077\/(-370110))\/(3\/(-12)*2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 a factor of 45624312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 1.414?\nAnswer: -0.5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5962, -5970, -5976, -5980, -5982, -5982?\n\"Answer: q**2 - 11*q - 5952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 380 = 39*q - 66 - 100 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.789803287 to four decimal places.\nAnswer: 1.7898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35521751 = 211*f + 5102725. What is f rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2*x - 216 = 0, 5*l + 2*x - 35 = 491. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1113457*c**2 + 1113473*c**2 - 2226944*c**2 + 1.\nAnswer: -14*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Round 17.43991 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-9))\/(30\/(-45))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -s**4\/6 + 3*s**3\/2 + s**2. Let x(i) = 5*i - 10. Let m(f) = -6*k(f) - 5*x(f). Give m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2923807574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -326.1576 * 0.44.\nAnswer: -143.509344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = n + 6, -4*z - 12*n + 10*n - 22 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*h + 43 = -5*i, -2*h - 4*i = 32. Let s(u) = u**2 - u. Let t(q) = q**3 - 3*q**2 + 9*q + 1. Let y(c) = h*s(c) - t(c). Factor y(l).\nAnswer: -(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*f - 3875 + 1467 = -188 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 149*f + 1493. Let w be u(-10). Solve 19 - 10 = w*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 193051421.\nAnswer: 193051421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20582 * 3.\nAnswer: 61746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - 0 - 2) + 1. Suppose 5*t + b*a = 204, 3*t - 2*a = -0*a + 118. What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 355*o**2. Let c(n) = -109482*n**2. Determine c(y(l)).\nAnswer: -13797469050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.3, -6, 0.3912, -6.3 in descending order.\nAnswer: 0.3912, 0.2, -0.3, -6, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 81, 103, 141, 201, 289, 411, 573, 781?\n\"Answer: s**3 + 2*s**2 + 9*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 261 - -71.8. Let p = -275 + i. Let y = 58 - p. Do y and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y - 6*y - 3*y - 4*y to m + u*y and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.4 - -0.1. Suppose 32 = -4*r - w - 3*w, -4*w = -5*r - 4. Let t be (-4)\/r*(4 + -3). Put t, g, -1 in descending order.\nAnswer: t, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 948673 is divided by 2937.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*d = -255*d + 140 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 - 3)*(-61669*h - 250 + 496 + 18024*h - 246) as k*h + s and give k.\nAnswer: 218225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 562344327, 1124688653, 1687032979, 2249377305?\n\"Answer: 562344326*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7 * 2.1\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 63*j + 67*j = -5, 0 = 3*l + 3*j - 90. Calculate the remainder when 131 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -16  (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + o**2 - 1)*(1 + 13*o - 4*o - 5*o).\nAnswer: 4*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11310 + 11309.3177. Sort i, -0.4, -0.3 in increasing order.\nAnswer: i, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/(2275\/1326)*(-10)\/6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - q + 15. What are the prime factors of 1 + q + (-6)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 3*v - n, 0*v - 3*v + 5*n - 14 = 0. Let l be (v - -1)*2\/7. Let q be (-153)\/90 + (-6)\/(-4). What is the biggest value in 0.4, l, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(8\/(-20))*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**4\/12 - 3*t**3\/2 - 13*t**2\/2 + 2*t - 133. Give x(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460*d + 465*d + 25 = 0. Let n be ((-1)\/2)\/((d - -4)\/44). Let w = -28 + 39. What is the greatest common divisor of w and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11602 is divided by 445.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 27. Let f = u - 10. Let y(n) = -10*n**2 + 3*n - 9. Let m(a) = 23*a**2 - 5*a + 20. Let p(d) = 3*m(d) + 7*y(d). What is p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, m: 4, q: 2}. Give prob of picking 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 3. Suppose -c = -3*h - 13, 3*c - 2 = c - 2*h. Let a(v) = v**2 - 8*v - 19 + 16 + c*v. Determine a(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23.13 - 23. Put j, 3, 0.4 in increasing order.\nAnswer: j, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.1 - -10. Is r at most -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3249 - 1114. What are the prime factors of a?\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -19*t**3 - 2*t**2 + t + 2. Let p be q(-1). Let n(x) = -6 + 2*x**2 - 4*x**2 + x**2 - p*x + 0*x**2. What are the prime factors of n(-10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*x + 40*x = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17321872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 + 752*w**3 + 36088*w**2 + 69936*w + 34596.\nAnswer: 4*(w + 1)**2*(w + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/2)\/((-8)\/(-72)). What is the tens digit of k\/((-9)\/(-2)) - -85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4618007 - -0.24?\nAnswer: -4618006.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q = 4*m - 60, q + 2*m - 16 + 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -7*g**2. Let w(t) = 97*t**2 - 2*t - 3601. What is w(n(i))?\nAnswer: 4753*i**4 + 14*i**2 - 3601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-2)\/(-4) + 0. Let v = 3 + d. Suppose 0 = 2*w - v, w = -2*r - 4*w - 250. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -1. Suppose 4*v = -2*s - d*s - 10, -4*s + 5*v = -45. Suppose s*a = -n - 12, 3*n + 5 = -1. Sort 1, a, 4 in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/184*(-4)\/10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 253811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 21102696 to the power of 1\/2, to the nearest integer?\nAnswer: 4594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92.3 - 18.3. Let q = -74.000116 + d. What is q rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3a + 7b2228?\nAnswer: 7b2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, z: 8, f: 2}. What is prob of sequence zeez?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -232, -464, -696, -928, -1160, -1392?\n\"Answer: -232*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 1\/55 in ascending order.\nAnswer: -3, 1\/55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-2\/9))**(-8) assuming q is positive.\nAnswer: q**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2*o*o**(-1))\/(o\/(o**(-2)\/o)*o**(-2\/3)) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-46)\/6 - 6\/18. Let g be (-1 - 25)\/(z\/7). Let m = g + -23. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(1008) - (-5*(-2 + sqrt(1008)) + sqrt(1008))) + sqrt(1008))**2 + 4 + -2*(sqrt(1008) - (-1 + sqrt(1008))*-6)**2) + 5.\nAnswer: -2880*sqrt(7) + 312325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1032099*l**3*x**3 + 36*l**3*x + l**2*x**2 + 4*l*x**2 - 330*l wrt x?\nAnswer: -6192594*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/2 - 1)\/((-8)\/(-184)). Suppose -z = 8*s + 3. Let r(b) = -b**2 - 19*b - 5. List the prime factors of r(s).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7584 and 135327?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 5. Let z(d) = 0*d - 6 + 0*d + 2*d. Suppose -4*n = 2*h - 6*h + 56, 0 = h + n - 18. Suppose -3*i + h = -7*i. Determine i*s(c) - 3*z(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 227 + -156. Let q = 67 - u. Is (-1)\/((-2)\/q - (-6258)\/(-12492)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77884800 a multiple of 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 16 = -112. Suppose 39*k - 40*k + s = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 - 13. Let b(k) = 7*k. Let c(j) = 3*j. Let d(a) = l*c(a) - 2*b(a). Let x(z) = -3*z. Let m(p) = -3*p. Let s(t) = -4*m(t) + 3*x(t). Determine s(d(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -11*w + 21. Let i be m(11). Let t be 4\/10*i\/(-160). Let l = 0.5 - 1. Sort l, t, 1 in ascending order.\nAnswer: l, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 689282105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3311848 by -413981.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 145132\/25119*54\/4\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 9:20 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -1 + 87 + -89?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 1668*g**3 - 2*g + 1. Let s be i(1). Suppose 2*r - 4*a - 1652 = -2*a, 2*r - s = 5*a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -706*c**2 + 2 + 6 - 8.\nAnswer: -706*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k**3*w**3 - 30*k**3*w**2 + 31844*k*w**2 + 401031*w**3 wrt w.\nAnswer: 12*k**3 + 2406186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 62298972 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-9))\/(3\/27). Suppose -2*h = -h - v. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -43 in 0.5, -1, 1\/3, 1, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a - 33 = p, -4*a - 179*p = -178*p - 10 - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jaakaxjjjxxjkkxabxak. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16999 + 17000. Sort r, 716, 5 in descending order.\nAnswer: 716, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8482 + 22005. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2))**(2\/21)\/(d**6)**21 assuming d is positive.\nAnswer: d**(-2645\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.727*0.0427\nAnswer: 0.0310429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 24 = -36. Let r(z) = z**2 + 5*z + 2. Let b be r(-4). Put 4, b, j in descending order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736796 is divided by 1177?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-50)\/(-18) - (-2)\/9. Suppose 5*q = -20, 2*d + 12 - 56 = -4*q. Suppose -48*x + 43*x = -d. Solve 3*z - x = j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2796376*t**3 + 2*t**2 + 486 - 2796375*t**3 + 382.\nAnswer: t**3 + 2*t**2 + 868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of t**7\/1680 + t**6\/360 - t**5\/48 - t**4\/8 + t**3 - 88. Let x(u) be the third derivative of v(u). Factor x(i).\nAnswer: (i - 2)*(i + 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3858113197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 3*l + 18. Let u be i(3). What is the hundreds digit of -453*(u + 3)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of 2*k**5\/5 + 11*k**4\/4 - k**3\/3 + 125*k - 76. What is the third derivative of f(t) wrt t?\nAnswer: 48*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -i - 7, 4*t - 4*i - 61 = -93 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 17*r. Let v(q) = -60*q**2. Give j(v(f)).\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -2*k - 12, -4*k - 5*b - 16 = -b. Let j be (-3 + 2)*(k + -130). Suppose 0*p - j = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -6*w. Let r(h) be the third derivative of 0 - 4*h**2 - 1\/12*h**4 + 0*h**3 + 0*h. Calculate a(r(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 521.9103 + -522. Let n = 0.08969363 + d. What is n rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -10\/9*h**5 + 0*h**3 - 2*h**4 - 1\/105*h**7 + 129*h**2 - 2 - 7\/30*h**6 + 1\/504*h**8 + 0*h. Factor v(p).\nAnswer: 2*p*(p - 9)*(p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32\/21 + -62\/21. Let z = 138 - 142. Let m be (3 + 7\/z)*(-4)\/(-10). What is the closest to m in 0, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (34\/6)\/(-1)*(-12)\/4. Suppose 0 = -2*r - h + u, 3*h + 29 = 4*r - 2*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v**3 + 9*v**4 + 4*v**3 + 0*v**3 - 8*v**4 - 4 - v**2 - 2*v to k*v**4 + g*v**3 + s*v**2 + u*v + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 28 = -0*n. Put 3, 34, n in increasing order.\nAnswer: 3, n, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2600745811 and -5.\nAnswer: -2600745816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 784734 - 202*u**2 - 784739 + 2*u - 2*u to a*u + p + c*u**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.669 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*p + 10, -4*g + 4 = -3*p - 1. Suppose -2 = -g*d + 13. What is the greatest common factor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 + 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -13*n**2 - 317*n - 306. Determine s(-24).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + l + 39, 2*y - 4*l + 24 = 6*y. What is the lowest common multiple of 146 and y?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 - (-4 + 33 + -22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 27, 1032.\nAnswer: 0, 27, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1597*n**4 - n**2 - 1393 wrt n?\nAnswer: 6388*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 962780723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-7)\/j)*j*j\/(j\/(j*j\/(j\/((j*j\/j**0)\/j)))))\/((j\/j**(-6\/7))\/(j\/j**(-1\/8)*j*j)) assuming j is positive.\nAnswer: j**(743\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 793, -7.\nAnswer: -7, -3, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*y + 3232 + 903 = -22*y + 133 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 5, c: 1, z: 5, w: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 4*a - 39. Suppose -85 = -i - a. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -36*v + 958. Is d(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*p + 6*p - p - 5*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -1\/20*a**5 + 5\/12*a**4 - 88*a + 0 - 5\/2*a**2 + 1\/2*a**3. Determine n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.8956754 millilitres?\nAnswer: 0.0008956754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2*-1)\/(-18))\/((-9)\/(-54)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a83 + 9?\nAnswer: 1a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 + 35 = -25*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -766*v + 206*v + 57*v + 172*v + 173*v.\nAnswer: -158*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**3 - 2*n**2 - 4. Let i(r) = r**2. What is -2*i(f) - t(f)?\nAnswer: 2*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**3 - q**3 - q**3)*(-2 + 1 + 0)*(6 + 0 - 4).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**4 - 25*z**3\/3 - 32*z**2 - 20*z\/3 = 0. What is z?\nAnswer: -2, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/10 - -1*(-30812)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4131214.\nAnswer: 2, 23, 89809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 18*s**2 - 42*s - 30. Suppose 77*p + 1178 + 749 = 387. Give r(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 28*g - 1. Let x(p) = 220*p - 5. Calculate -6*r(h) + x(h).\nAnswer: 52*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 584591 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92 + 11*f + 92 + f + 3*f - 7*f + f - 2*f + 2*f + 0*f + f - 3*f + (4 - 5 + 3)*(3*f + 0*f - 4*f) + 8 + 2*f - 8 - 2*f + 3*f + 2*f to a*f + j and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((-3*2*sqrt(84))\/sqrt(12))**2*-4 - (-2*3*(sqrt(7) + (sqrt(7) + -2)*6))**2).\nAnswer: -18543 + 6048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*k + 16*k - 259 = 71 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -1679*z + 191423. Give y(114).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 731 + -733. What is the closest to 3\/5 in -0.4, -0.3, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 272048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/154*(-21)\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -7*u**5 - 1749*u**4 + 170371*u**3 + 34912697*u**2 - 2794920072*u + 398561296 = 0.\nAnswer: -217, 1\/7, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483254901.\nAnswer: 3, 53, 823, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 11:15 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 12095\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o. Let c(l) = -15*l**2 + 32*l**2 - 19*l**2. Determine c(d(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, -5, 0, -2.\nAnswer: -6, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3113201 (base 4) to base 14\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3684841?\nAnswer: 19, 193939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -14*a**2 - 3*a - 3. Let k(q) = -9*q**2 - 2*q - 2. Calculate -5*h(n) + 8*k(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4)*((-2744)\/(-42))\/14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.92 + -4. What is the nearest to u in 5, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 412.9999994 + -413. Round c to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17885100269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 60.6 times -1.48\nAnswer: -89.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 673 is divided by 138.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l - l**3 - l - 3*l**2 + 1. Let s be v(-3). Let t = 3 - s. What is the remainder when 3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4688e (base 15) to base 3\nAnswer: 102102012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(0 - 1 + 2)*(-3*g + 3*g - 2*g**3).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 + 2*r - 12. Let f be v(-6). Let k = f - 46. Suppose 36 = 7*n + k*n. Solve 0 = -n*h + q + 20, -3*h - q = -4*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3, -5*x - h + 4 = -7. Suppose 0 = j - 2 - x, -4*i - 5*j = -140. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 285019 - 13*o**2 - 146149 - 138873.\nAnswer: -13*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x. Let m(z) = -z. Let w(j) = -10*j - 3. Let y(r) = -20*r - 7. Let a(s) = 7*w(s) - 3*y(s). Let q(t) = -2*a(t) + 18*m(t). What is q(u(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 10.51965ml?\nAnswer: 0.01051965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3712 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -73559, -73688, -73821, -73958, -74099?\n\"Answer: -2*d**2 - 123*d - 73434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 39 = 3*c. Let v = 1737 + -1733. Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17697 + 17696.95. Put 5, -22, u in increasing order.\nAnswer: -22, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1201 - 4744?\nAnswer: -3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -105.12 - -105. Let p = -0.3 + 0.17. Let x = 0.87 - p. Which is the third biggest value?  (a) z  (b) x  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + (13 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*u - 3 = -o - 0*o + 34*u, -o - 22*u - 49 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2. Suppose -29*d + 34*d + 30 = 0. Let a(b) = 13*b + 6. Let y(f) = 77*f + 35. Let l(h) = d*y(h) + 35*a(h). Determine l(s(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3706284 to the nearest integer?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {n: 4, e: 1, f: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*h**2 + 54999189*h**3 - 109998383*h**3 + 54999196*h**3.\nAnswer: 2*h**3 + 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 195 + 19 = 0. Solve -d*p + 18*p - 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -f**2\/2 + 991. Let s(z) = 13*z**3 + 52*z. Give -52*k(n) - s(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i - 2. Let b(s) = 154*s - 35. Determine 2*b(f) - 35*j(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -85 + 48.9. Let f = r + 36. Is -1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 80.107 + -82984.\nAnswer: -82903.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-128)*-4 - (-11)\/(-264)*-477. Solve -3*z - r*q = -18*q - 7, 3*q = -3*z + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-212)\/((-39 - -40) + (-10)\/6) is divided by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*v**3 + 0 + 0*v + 2\/3*v**4 + 2\/3*v**2.\nAnswer: 2*v**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9527425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -49*x + 14. Determine d(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of 2\/3*o**3 - 7\/2*o**2 + 0 + 7\/12*o**4 + 1\/20*o**5 - 7*o. What is the tens digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, h: 3, q: 4, w: 1, i: 7, j: 4}. Give prob of sequence wihi.\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2006*u - 18019. What is o(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 832421.8 hours to seconds.\nAnswer: 2996718480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1432719, 1432727, 1432739, 1432755, 1432775, 1432799?\nAnswer: 1432827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - 7)\/(3 - (-194)\/(-58)). Let f = a + -6. Is 1\/4 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 3*c - 24, -4*t - t + 5*c + 30 = 0. Let m = -924 + 927. Let v be (1\/2)\/(7\/84*3). Solve -p = v*u, t*u + p = m*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-394402)\/(-12319) - -35 - (-8)\/(-508)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 - 24. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1092 - 1089. Solve 2*n + 2*n = 3*l + 11, 0 = g*n - l - 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**6\/c**(2\/13))**(-42)*c*c**5*c**6*((c**(-1)*c)\/c*c*c)\/((c*c\/c**(3\/4))\/c) assuming c is positive.\nAnswer: c**(-12105\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 4543254041?\nAnswer: -4543254054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*6*sqrt(63)\/(sqrt(324)*2) + (sqrt(49) + (sqrt(490) - (-3*sqrt(490) - sqrt(490)) - sqrt(490))\/sqrt(10))\/(1*sqrt(7)*1).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45.999989 - -46. Round h to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42205.7um to millimeters.\nAnswer: 42.2057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -6*z + 4. Suppose -4*q - 96 = 2*y, 0*y - 2*q = -z*y - 182. Let p = -16 - y. Calculate the least common multiple of p and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {b: 5, s: 3, u: 3, v: 2, h: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + -1*(sqrt(300) + -1 + sqrt(300) + sqrt(300))) - ((-1*(sqrt(300)*1 + sqrt(300))**2 - -2*sqrt(300)*-6) + 3).\nAnswer: 270*sqrt(3) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 13 = 2*q, 3*v - 4*v - 5*q = 0. Let n = 19 + 1. Calculate the lowest common multiple of n and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-3\/8)))\/u**(-3\/8)*(u*u\/(u*u\/(u\/u**(-2\/3)*u)*u))**47 assuming u is positive.\nAnswer: u**(235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -6.07. Let m = l + -0.57. What is the nearest to 1 in 0.1, -1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 4:55 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -164457\/14 - -1551220\/63. Let m = 12872 - d. Find the common denominator of ((-201)\/(-45))\/(4\/(-3)) and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-36)*(-16)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 227279482 to the nearest integer?\nAnswer: 15076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24, -1\/2, 4\/9, 63\/5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c**2*y**2 + 27221*c**2 + c*y**3 - 255*y**3 + 140*y with respect to c.\nAnswer: 4*c*y**2 + 54442*c + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125*m - 2562 = 495*m + 2618 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1520641649 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -15, 42, 1\/4 in descending order.\nAnswer: 42, 0.5, 1\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 18 + 201. Suppose 4*u - h = -37. Solve 7*i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 295, 603, 1125, 1867, 2835, 4035?\nAnswer: 5473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 137435203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 0. Let x = r + -11. Let k = 316.3 - 316. What is the fourth smallest value in x, 3, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1660, -2, -6, 153 in descending order.\nAnswer: 1660, 153, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 1284*k**3 + 2*k**2 - 2*k + 1. Let g be (1\/((-4)\/(-16)))\/(-2) + -3. Let y = -4 - g. Is w(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 4)*(-50*p**3 + 123*p**4 - 243*p**4 + 122*p**4).\nAnswer: 2*p**4 - 50*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1022123 + -24422?\nAnswer: -1102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 3:52 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-4 - (-4 - 0)) + (-1 - -39)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6 - 2.6. Suppose 12 = 4*k - 2*k. Let v be ((-2)\/k)\/((-3)\/27). Which is the biggest value?  (a) 0.5  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -102 + -4?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*z + 30, -4*l = -z - 4*z - 40. What is the highest common divisor of 110 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4\/n**(-1\/13))**(-1\/30)\/(((n\/(n**(2\/13)*n*n))\/n**4)\/(n*n**(-7)\/n*n*n*(n\/n**(3\/4))\/n)) assuming n is positive.\nAnswer: n**(-571\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/24)\/((-1)\/354). Let r = 82 + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/5  (b) -2\/3  (c) -0.656  (d) -3\/2  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 191 = -44. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (16 - 8) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 2 + 4 + 5*s**2 - 24 to the form w*s**2 + z + r*s and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (20 + -2) - (-29036)\/1281) + (-208)\/(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5581270 and 565?\nAnswer: 630683510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1*sqrt(450) + 5 + sqrt(36)\/sqrt(2) + 3*sqrt(4050) + -5)**2.\nAnswer: 30262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 166764417 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 391 + 8*i**3 + 25*i**4 + 400 - 788 + 10*i**4 to the form o*i + r*i**3 + t + k*i**4 + d*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 170455823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-15)*120\/1224*2\/(2\/(-3))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + o. Let y be n(0). Suppose 18*w + 9*w = -81. Put -4, y, w in decreasing order.\nAnswer: y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29138 by -251.\nAnswer: -29138\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.48 - -0.28. Let z = 2.20036 + g. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + 4\/3*54\/36. Solve -k = -5*y + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2731 - 2733. Let t = -0.2 + 0.2. Which is the biggest value?  (a) q  (b) t  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-322) - (4 + 1 - (0 + 5)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)\/sqrt(4) - sqrt(32))\/sqrt(2) - (sqrt(16) - -2*sqrt(2304)))\/(((sqrt(32) + sqrt(800))*1)\/((sqrt(144) - sqrt(36))\/sqrt(9))).\nAnswer: -25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 2*q + 11 = 0, 2*r = 2*q + 1 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/127?  (a) -0.487  (b) 58  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*k**2*r**2 + 5*k**2 + 3*k*r + 143*r**2 + 1 wrt r?\nAnswer: 6*k**2 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, n: 12}. Give prob of picking 1 t and 1 n.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1160838 + -5632262. Round v to the nearest 10000.\nAnswer: -6790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) -1\/8  (b) -2\/13  (c) 66\/53  (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 71907313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dgzdgzddfdd. What is prob of picking 2 z and 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -483 - -593. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 8 = 3*v, 2*v + 10 = 5*d + v. Let s(l) be the third derivative of -1\/3*l**3 + 1\/60*l**6 - 1\/12*l**4 - 2*l**d + 0*l + 1\/30*l**5 + 0. Factor s(w).\nAnswer: 2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -2 + -10 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 6*w - 12. Let u(j) = -j**3 + 5*j**2 + 5*j - 6. Is u(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -210604414?\nAnswer: -210604412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18072536159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11\/(-33)*2148\/(-2)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**4 + 0*k**4 + k**4 + (0*k**2 - 3*k**2 + k**2)*(3*k**2 - k**2 - k**2) + 3*k**4 + k**4 - 5*k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-90)*85 - -10. Let 3\/2 - o*g**2 + 3\/4*g - 3\/4*g**3 = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 equal to 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 5*b**2 - 2*b + b**2 - 3*b**2 + 0*b**2 - 1. Let d be f(-2). Let a = -13 + d. Solve 6 = x + a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53599.864 + 53804. Let f = -204 + b. Round f to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 205.115 + -205. Let b = y + -0.015. Which is smaller: 0.33 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4.8?  (a) -1\/3  (b) -2\/5  (c) 43\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1063656\/25 or 42547?\nAnswer: 1063656\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1424954.\nAnswer: 2, 712477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 149 - a2231?\nAnswer: -a20c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6817.48 rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -1221010022?\nAnswer: 1221010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49\/3 + 15. Which is the biggest value?  (a) -13  (b) v  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 - 1.2. Let v = 0.7 + l. Let r = 265\/8 - 33. Which is the biggest value?  (a) v  (b) 5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 + 651*o + 0*o**2 + 3*o**2 + 2060*o + 2.\nAnswer: 6*o**2 + 2711*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyvyvqyvhyhhvvy. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 731657 is divided by 121936?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*h**2 + 538*h - 538*h.\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -5*p**3 + 2*p**2 - 2*p + 1. Let r be a(2). Is (1 - 1) + (7 - r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -94*z**2 + 211*z - 39. Determine l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 28 = 3*y + 18, -10 = 5*y. What is the greatest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -507786 + -0.2.\nAnswer: -507786.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*b + 152*o - 154*o, 0 = 4*b - 3*o - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10643, -1\/6 in descending order.\nAnswer: -1\/6, -2, -10643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17237 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0)*128\/832.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-21)\/(-70)*(-5)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 0 - (47 - 38).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 4*t**2 + 8*t + 268. What is the remainder when l(17) is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2. Let t(b) be the first derivative of -13*b**4\/4 + 41*b - 37. Let y(d) be the first derivative of t(d). Determine y(s(r)).\nAnswer: -156*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f\/f**(4\/5))\/f)\/f**2)**38*(f**(-1\/8)\/f)\/(f*f\/(f**(1\/5)*f))*f**1*f**(-7) assuming f is positive.\nAnswer: f**(-3053\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24083*x**2 + 3*x - 3*x.\nAnswer: 24083*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**4 - 14976*k**3 + 1428837*k**2 + 1440071*k + 360954 = 0.\nAnswer: -1\/2, 99, 3646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 10100001?\nAnswer: 10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 3\/2, -0.5, -4, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.6482 + 920.8618. Let g = 922 - z. Round g to one dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1508, 2039, 2570?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -265, -430, -661, -958, -1321, -1750?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 7 + (0 + 5 - 4)*(-1 - 3 + 3) + 5 - 1 - 2)*(-290*q - 156*q - 127*q).\nAnswer: -4011*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9.7 and -74.\nAnswer: -717.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 20 = -16. Let w be (u\/(-6))\/(4\/6)*-516. Suppose -4*q - 2*q + w = 0. List the prime factors of q.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**3 + 4*o**2. Suppose 4*a - 5*j = a - 1, -3*a - 5*j = -19. What is f(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**5\/3 + 10*t**4\/3 + 62*t**3\/3 + 86*t**2\/3 + 12*t = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.9 or 67?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 3)*(2*i + 3*i - 2*i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 0*s + s)*(s**4 + 0*s**2 + 0*s**2) + (-37 + 37 + 20*s)*(4*s**4 - 2*s**4 - 5*s**4).\nAnswer: -57*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 617 (base 11) to base 15\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 144630303 and 37686.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -17 - (3 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 91261297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1881404590?\nAnswer: 2, 5, 13, 281, 51503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1680 + 2557. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24308881.\nAnswer: 3259, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/(-8624) + (2703\/272 - 10)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((0 - -2)\/6). Let x = 1 + m. Suppose 4*d - 60 = x. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3 = 3*m, 3*i - 3*m + 7*m - 10 = 0. Let u(d) = -69*d + 1. Let w be u(-1). Sort i, w, 1 in increasing order.\nAnswer: 1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2708 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6 + 18 = 0. Suppose -y - w*y + 20 = 0. Suppose 145 = -y*m + 9*m. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2112 + -13123032?\nAnswer: -13120320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**3\/3 + 8561*n**2 + 897524*n\/3 - 1333696 = 0 for n.\nAnswer: -25648, -39, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 169 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12433 - -88?\nAnswer: -12378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-576)\/(-20) - 54\/(-45). Solve -z = 2*p - 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 699538 + 11?\nAnswer: 699549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**2 + 3*c + 3. Let b(h) = -h**2 - h - 1. Let f = -27 + 27. Suppose -3*t + 9 = -f*t. Calculate t*b(q) + a(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (4 - 0)\/2*261\/(-58).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 (base 13) in base 3?\nAnswer: 1012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(112) - (sqrt(567)*1 + sqrt(7) - sqrt(7)))**2*6.\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 194 + -190. Suppose 32 = -d - 0*d. Does 15 divide j\/((0 - 2)\/1) - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2887459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 495 + -269. Suppose d = 2*a + 44. Suppose 9*l = 15*l + 6, 111 = 5*f + 4*l. Calculate the remainder when a is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s - s**2 + 4*s - 5 + 3*s. Suppose 4*m = -12 + 28. Suppose 0 = l - o - 4*o - 1, -3*o = m*l - 27. Calculate i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 810 = -6*f. Let h be f\/54 - (0 + 3 + 0). Suppose h*b = 2*d - 6, -4*b = -d - 0*b. Solve d*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 3 - 2)*(z - 3*z + 0*z) - 2*z + 0 + 0 - 2*z + 0*z - 3*z + (5*z + 5*z - z)*(2 - 11 + 0) in the form q*z + x and give q.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 7:07 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10618?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**2 + 9*z + 6. Let j be i(6). Let n = 87 + j. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b = 11*b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 836 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**4 + 4*w**3 - 5*w. Let u(l) = 2*l**4 - 11*l**3 + 14*l. Let j = 12 + -8. Let s(t) = j*u(t) + 11*o(t). What is the second derivative of s(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3341 + 0.39758. Let x = -0.05763 - t. Let d = 0.12 + x. What is d rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 343, 1114, 2607, 5062, 8719, 13818?\nAnswer: 20599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 683115941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-575)\/(-2) + 8\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -3. Let k(o) = o. Let f(a) = 95 - 19 - 19 + a - 30 - 24. Give j*f(x) - 2*k(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 18a?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 5:51 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86190*i**2 - 4*i*r + 332400*r - 1 wrt i.\nAnswer: 172380*i - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((3 + -1 + sqrt(684) - (0 + sqrt(684) + -5))*5)**2 - -5*(sqrt(684) + -1)**2*2*4).\nAnswer: -2880*sqrt(19) + 171750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 2*a - 672. Let d be w(-25). Solve h + 15 - 34 = -d*j, 0 = -3*h + 3*j - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of 659*v**6\/120 - 631*v**3\/3 - 16*v**2 + 18*v. What is the first derivative of k(c) wrt c?\nAnswer: 1977*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.09 + 0.04. Let r be ((-4)\/(-12))\/(5\/(-390)*-2). Which is bigger: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of 0*o**2 + 0 - 4*o + 1\/90*o**5 - 1\/54*o**4 + 0*o**3. Solve s(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2424 >= 268952\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 43 = 3*f, -18*n = 3*f + 465 - 498 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2. Let l(z) = -13*z**2. Let x be (-84)\/22 - (-2)\/(-11). Let m be 3\/(0 - 6\/x). Let k(i) = m*l(i) - 14*a(i). Let r(f) = -3*f**2. Give r(k(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 18*h**2 + 50*h + 86. Give g(-21).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 2*j - 1. Let w(b) = -b**2 + 7*b + 10. Suppose -3*r + 16 = -r. Let q be w(r). Suppose -q = -4*l - 5*x, 4*l + l - 2*x = -14. Calculate d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from mma?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -95 + 51*p**2 + 95. Let h(r) = -2*r. What is m(h(u))?\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/4 and 63\/664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -121*m**3\/2 + 49830*m**2 + 18126*m + 1648 = 0.\nAnswer: -2\/11, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*k**2 - 1595108 + 1595108 - 9*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1461973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 14*f**2 - 17*f + 32. Let v be u(15). Suppose -v*n + 3*l = 5*l - 82, 4*n + 5*l - 169 = 0. What is the greatest common factor of n and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2 - 4*m + 2*m + 3*m**2 + 1. Let v = -7 - -13. Suppose -v*n = -3*n + 3. Calculate i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 11) + 38 + (-6 - (-6 + 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -3*y - 21, -3 = 4*p - 31*y + 36*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -336 + 336 - 10*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -256*t + 5627. What is k(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(12 - 6)*(-32)\/2. Suppose 5*m = f + 28, w = 4*m + 19*f - 23*f. Solve -14 = -2*i + m*t - t, 2*t = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 5*l**2 + l - 2. Let x be r(5). Suppose 0 = 2*p + p + 4*n - 15, 4*p - x*n = 20. What is the greatest common divisor of p and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.8, -11, -1\/3, 3\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/12)\/(20\/60).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 13658 = -12*a - 2543. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -4 + -15 - 28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/11 or -0.0624?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 7*d**2 + 11*d - 24. Suppose -7 = k + 3*o, 0 = 379*k - 375*k - 3*o - 47. Give f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -828*x**2 + 7*x - 57. Let a be d(7). What is a rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 6 = -y, -4*y - 2*n - 6 = -0*n. Let k be 5\/y - (-1)\/2. What is the closest to k in -2, -1\/3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -11. Let q(u) = -4*u**f - 4*u**3 + 0*u + u + 1. Is q(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 665 = -73*x + 80*x. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**3 - 38*r**2 - 198*r - 162 = 0. What is r?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -186183 times 38\nAnswer: -7074954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4628 and 63596.\nAnswer: 5660044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 9*n**2\/2 - 20*n + 9087. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (4 - (84 + -81 - (-1 + -3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -5*s - 385, 0 = -5*s - 3*r - 2*r - 365. Let n be ((-2)\/3)\/(10\/s). Suppose -n*q + 4 = 5*g - 1, 4*g - 9 = -5*q. Let v(o) = -2*o. What is v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -1)*-6 + sqrt(190)\/(sqrt(10) + sqrt(40)\/sqrt(4)))**2.\nAnswer: -66*sqrt(19) + 2443\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -g**4\/12 + g**2. Let y(w) = -4*w**2 + 7*w. Let t(p) = 3*p**2 - 5*p. Let x(s) = -7*t(s) - 5*y(s). What is a(x(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3 + 1 + -1 + sqrt(1100) + (sqrt(1100) + 0 + sqrt(1100))*4 + -2 + 3 + 2)**2.\nAnswer: 1800*sqrt(11) + 89200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-180)\/495)\/(2\/(-4499)). Let r be (-1)\/2 + (-4086)\/(-4). Suppose -r - d = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -8. Solve d - 8 = -r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lvvvvqvvlqvvvlvlvq. Give prob of sequence vlv.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1161 + 1166. Solve -62*w - t = -63*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 1:42 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 128, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.03, -3, -0.5, 145?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(126)\/sqrt(2) - sqrt(63))**2 - ((sqrt(63) + sqrt(126)\/sqrt(2))\/sqrt(9) - sqrt(7) - sqrt(7) - (-5 + -1 + sqrt(7) - sqrt(7))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 39183*f + 78354.\nAnswer: 3*(f - 13059)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.41 - 10.409999576. Round d to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 411 + 81. Is 33 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3052737 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1223, 2447, 3671, 4895, 6119, 7343?\n\"Answer: 1224*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 0)*(4 - 4 - 3*f)*(-2*f**2 + 11*f**2 + f**2)*(-2*f + 3*f - 2*f).\nAnswer: -120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -70  (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 8 = -4*f, -2*r + 8*f = 7*f + 5. Let u(o) = o. Let c(h) = 15*h + 2. Determine r*u(n) + c(n).\nAnswer: 11*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*j = 110, 0 = -4*p + 2*j - j + 71. Sort -2, p, 3 in decreasing order.\nAnswer: p, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 11*c**2 + 28*c + 16. Let p be i(6). Factor 1\/6*b**2 + 0 - 1\/6*b**p - 1\/6*b**5 + 0*b + 1\/6*b**3.\nAnswer: -b**2*(b - 1)*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 23 - 8, 3*r = 4*f + 369. List the prime factors of r.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62 + -18.225.\nAnswer: -80.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -2*r - 7, 4*v + 2*r = -3 - 1. Let u = -58.8 - -57.9. Does u = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, 1\/5, 113?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6448270874 to 5 dps.\nAnswer: 0.64483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*c + 23*c + 2461 = 7921. What is the remainder when 237 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -252*l - 14. What is s(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -170*w**3 - 2*w**2 - 122*w. Let a(i) = -678*i**3 - 8*i**2 - 490*i. Let j(k) = 2*a(k) - 9*q(k). Find the third derivative of j(c) wrt c.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 415\/(-332)*9\/15*3*-8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7)\/k*k*k*k*k\/((k*k*k\/(k*k**(-5))*k)\/k*k)*k)\/((k**(-11)\/k)\/(k\/((k**(-9)\/k)\/k))) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*t + 3, -7*t = -3*t + 4. Suppose -5*v = 3*m + 31, -3*m - 6 = 4*v + 20. Suppose -2*y = 8, 5*l + 15 + 13 = -2*y. Put l, u, m in descending order.\nAnswer: u, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 + 42 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613666361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -41*v - 294. Let j be k(-14). Let z = -274 + j. Solve -z*w - 4*w - 40 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/399 + 61\/798. Let f(p) = -5*p**2 - 2. Let g be f(-2). What is the common denominator of (-606)\/(-24)*(-4)\/g and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -933 - -903. Is b >= -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-2037)\/6)\/(-7))\/((-60)\/8) - -13. Suppose i - 28\/15*b + 2\/15*b**2 = 0. What is b?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -497 * 6360.\nAnswer: -3160920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -472.5 + 473. Let g = -5 - -3. Suppose -3*m + 9 = -3*h, 0*m + m + 2*h = 3. Which is the third smallest value?  (a) g  (b) m  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v = 2*j + 58, -22*j - 2*v - 5 = -23*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 0.2, 6, -1\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -27b + -3?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 349861941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 3*c + c)*(-c**4 + 4*c**2 - 4*c**2)*(-2 + 3 - 4)*(-1605 + 2827 - 1611).\nAnswer: -2334*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 5*r**2 - r - 4. Let i be b(-5). Let u = -14 - -11. Sort u, i, 0 in increasing order.\nAnswer: u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 85.\nAnswer: -12\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1660 > -1620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zye when three letters picked without replacement from {e: 1, z: 5, y: 2, s: 5, n: 3}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -10*v**2 - 32*v - 20. Give d(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -101.4?\nAnswer: -101.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 32, 52, 60, 50, 16, -48?\n\"Answer: -q**3 + 27*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 times 10063\nAnswer: 140882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 209768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 (base 8) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38*d**2 + 15*d**2 - 33*d**2 - 20*d**6 wrt d?\nAnswer: -2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/22 and -75\/128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z - 17. Calculate g(23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27183917 is divided by 78.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -29*g + 1. Let o be i(-11). Suppose -3*z + 4 = -o. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3825 = -533*x + 5*x - 7791 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.4926 - -1.4926. What is the closest to -1\/3 in -128, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.33 + 2.83. Let v be (6\/(-15))\/(8\/5). Sort v, -0.5, y, -8 in increasing order.\nAnswer: -8, -0.5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/8 + 2\/(-4). Let p = -4 - a. Let h = p + 13. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 5*r**2 - 7*r - 4. Suppose -3*u + 4*s - 3 = -15, -4*u + 47 = 5*s. Calculate the remainder when l(-5) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 14. Let i = h - -3. Sort 4, i, -2 in decreasing order.\nAnswer: 4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxucggxsu. Give prob of sequence xug.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 37397*u + 27. Let h(v) = -5341*v - 4. What is 3*f(o) + 20*h(o)?\nAnswer: 5371*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3220132 + 1111?\nAnswer: -3213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2688 - -3989. Let f = -776 + u. Suppose -5*m - f = 5*t, -m + 2*t - 121 = -t. What is m rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 6*i - 7)*(27 - 3*i + 16 + 7).\nAnswer: 18*i**2 - 300*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/64185)\/((-5229)\/95865).\nAnswer: 2\/389","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/47)\/q**8 assuming q is positive.\nAnswer: q**(-378\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/60582 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 18 = -4*y, 0 = 2*y + 3*y - 4*i - 28. Let r be 1\/(-3) - (-80)\/15. Solve 0*g = r*c + y*g - 8, 2*c + 2*g - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3804 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4*u = 0. Let r = 126 - 118. Suppose -r*y = -6*y + 22. Put u, y, 5 in increasing order.\nAnswer: y, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 7*w**3 + 2*w**2 - 84*w - 197. What is n(-3)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1692 by 6.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -253*v + 1008. Give q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6459805, 6459802, 6459797, 6459790, 6459781, 6459770?\n\"Answer: -u**2 + 6459806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpw when three letters picked without replacement from {w: 9, p: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -591 or 1143?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*i = -0 - 264. Let j = 0 + 2. Let c = -2.5 + j. What is the second smallest value in i, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9343.459cm in nanometers?\nAnswer: 93434590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 2*u - q, 31 = -2*u + 4*u + 3*q. Suppose -u = -3*c - i, -i = -5*c + 2*i. Solve 3*d = -3*w + 6, -3*d - 6 = 2*d - c*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160*20\/200 + 2 + (-219)\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414238.2069 rounded to the nearest 100?\nAnswer: 414200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -13*m**2 - 13*m + 22. Let b(u) = 6*u**2 + 7*u - 11. Let p(q) = -9*b(q) - 4*z(q). Let n be p(-4). Solve -5*t = 2*g + n, -5*t + 3*g - 4 = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1631*n + 94154 = 4644*n - 76584 + 44192 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lzilk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 10574 = 10710. Calculate the greatest common factor of v and 1564.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 392 and 1260904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1\/2, 754 in decreasing order.\nAnswer: 754, 13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, a: 5}. Give prob of sequence asas.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**3 - 191038*c**2 - 4203580*c - 21401184 = 0. Calculate c.\nAnswer: -14, -8, 95541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 355 + 335 = -2*s, -28 = -3*s + j for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*p + 7*p + 52*p = -4020 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 6:10 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.12 - -0.62. What is the closest to 0.1 in 3, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.09 + 0.09. What is the second biggest value in i, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z - 1. Let m be s(7). Let g be (-4)\/2*9\/m. Put 1, g, -4 in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/33, -0.0204, 0 in ascending order.\nAnswer: -2\/33, -0.0204, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -173 plus -91390.01?\nAnswer: -91563.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 - -22. Let b be 2\/2*3 + 0 - h. Solve -2*j + j - 4*x = 1, 4*j + 5*x - 7 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -0.5  (c) 15\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of 0 + 0*l**4 + 1\/420*l**8 + 0*l**3 + 0*l**5 + 19*l**2 + 1\/75*l**6 + 2\/175*l**7 + 0*l. Factor r(n).\nAnswer: 4*n**3*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 4*j - 10, t + 3*j + j + 18 = 0. Solve 3*l + 1 = -t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3188*g - 51*g + 285467 = 0 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 16 = -3*b, f - 5*b = -3*b - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 73*d - 256 = 0. Let b(t) be the third derivative of -1\/12*t**d + 0*t + 3*t**2 + 3\/2*t**3 + 0. What is the derivative of b(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26671903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 - -46. Calculate the highest common divisor of 21 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrn when three letters picked without replacement from grwrvwnv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/7)\/((-1010)\/3535)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(12\/(-10))*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20897\/6 - -3479. Let p(h) = h**3 - 4*h**2 + 4. Let u be p(3). Is u at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-142)\/8)\/(2\/(-16)). Suppose b = 2*m + 3*z - 4*z, -3*m + 2*z + 215 = 0. What is the remainder when m is divided by 20 + -3 + 1 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-4)*-8 - 5. Let k = -6 - s. What is the smallest common multiple of k and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 41365845.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 8*h - 18. Let w be v(4). Let i(j) = -4*j - 7. Let r be i(-6). Let p = r - 37\/2. Are w and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1867 by -518508.\nAnswer: -1867\/518508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((9 + 3)\/(-2) + (-308)\/(-33))*3. Solve w*a = 37*a - 162 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express p**3 - 2*p - 3*p**4 + 2*p**4 + 3*p**2 + 3*p**4 + p**3 as w*p**3 + n + c*p**2 + v*p + d*p**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7.707709um?\nAnswer: 7707.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(-26 + 13 + 18)*(2 + d - 3*d + 4*d).\nAnswer: -10*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {c: 2, r: 1, y: 2, g: 5, f: 4, p: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11350*l*m**2*p - 2*l*m + 205*l*p - 4*m**2*p - 77*m**2 + 3*m*p + m + 2*p wrt m.\nAnswer: -22700*l*p - 8*p - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0*9\/((-126)\/7))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-2)*(-2)\/(-3). Let y = -2 - k. Suppose 0 = 3*l + l + 16, y = 4*b + l - 40. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1282464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 195375 and 1042?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 4*y + 107512, 7*l - 71672 = 5*l + 3*y. List the prime factors of l.\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**7\/(a*a*a\/(a*(a\/a**(5\/3)*a*a)\/a))*(a\/((a\/(a\/(a\/(a**(-1)*a))))\/a)*a)\/a*a*a**(-7))**(-4\/11) assuming a is positive.\nAnswer: a**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 22949*d + 873524. Determine p(38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(15)\/sqrt(5)*3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 2*d + 1. Determine y(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -437 (base 10) to base 6.\nAnswer: -2005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12241 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 8*s**4 - 6*s**3 - 187854*s**2 - 12*s + 22*s**3 + 187846*s**2 - 4*s**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -80*c**5 - 408440*c**4 + 52524275*c**3 + 26338715*c**2 + 3295530*c = 0?\nAnswer: -5231, -1\/4, 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 30759212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*m + 5*q = 438, 2*m + 33812*q = 33810*q + 30 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**3 - 3*v**2 + v - 1. Let g be d(3). Suppose 3*i = g + 256. What is the remainder when i is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*z + 9. Which is bigger: -2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1355869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49\/104 or 1?\nAnswer: -49\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1199 and 4.\nAnswer: -0.4796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5.5?  (a) -1  (b) 955  (c) 3  (d) -853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 2*n + 25 = 0, -6*w + 219*n = 223*n + 54 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(2*3\/(-18)). Let p(w) = 2*w + 1. Let g be p(q). Let c(i) = -i. Calculate the remainder when 18 is divided by c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 5*o - 26, 2*o - o - 18 = 3*s. Let q = -46 + 53. Suppose 2*j - q*j = j. Is j less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.7406 - -185.7006. Let r = a + -187. What is r rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eza when three letters picked without replacement from {z: 7, a: 12, e: 1}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert e (base 15) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 892, 5\/4, 2\/3 in descending order.\nAnswer: 892, 5\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.082 and 299.4?\nAnswer: 24.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 14 = 3*t, -25*t = -23*t + l + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 75\/(-96))*((-58)\/(-29) - -2)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.447 in -0.5, -220, -0.32, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 3*p - 0*f - 3696, -3*f = -4*p + 4957. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from bzzzzzzbzzzzbzzz.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 7*a. Suppose a = -k - k + 430. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1528386 and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 7117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i + 25. Let w be k(11). Find the third derivative of -11*t**w - 1 + 7*t**3 + t**2 + 19*t**3 + 24*t**3 wrt t.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - -23. Let u = -1994 - -1979. Let r be (u\/(-2)*(-3880)\/z)\/1. Round r to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 2 + (-3 - -51) + 5. Let a be (r - -2)*(-2)\/(-4). What is the third derivative of 22*z**2 + a*z**3 + 22*z**3 - 37*z**3 wrt z?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 15760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -913110 divided by -165.\nAnswer: 5534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -53 + 83. Let u = 83 - h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.3 + 8.3. Let s = 156 + -464\/3. What is the smallest value in 5, i, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -69529.1 to the nearest 100.\nAnswer: -69500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/6 - 4\/(-24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 688*f**3 - f**2 + 2*f. Let p = -45 + 48. Let n(h) = -h**2 + 5*h - 5. Let m be n(p). Is g(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -67*l**3 + 4*l**2 - 4*l - 10. Let t(g) = 65*g**3 - 2*g**2 + 3*g + 8. Give 3*f(j) + 4*t(j).\nAnswer: 59*j**3 + 4*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/4 - (-3 + (-65)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6225*j**6 - 257*j**2 + 11 wrt j.\nAnswer: -747000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -102 + 73. Let q = -29.00021 - y. What is q rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -2  (b) 22.4  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 689 + -35084\/51. Find the common denominator of 65\/8 and d.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 5 = d - 6*d, -5*n = 5*d + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (64\/(-780))\/(1268\/1585)?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.6 and 429.7.\nAnswer: 432.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1651519.7586 rounded to the nearest ten thousand?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 149122.7 meters?\nAnswer: 14912270","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 1788, 7239, 16358, 29151, 45624?\nAnswer: 65783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {v: 11, m: 9}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1698279 + 1698275.799962. Let f = c - -3.2. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/4)\/3 - 0. Let z be a\/(3\/2)*-3. What is the second derivative of 4*h + h**z + 0*h + 2*h - 9*h**2 wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3041 + 2012232?\nAnswer: 2020323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -474260 + 2?\nAnswer: -47425b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -41\/44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 5*w**2 + 2*w - 9. Let h be b(5). Let i be -2 + 7 - h - -4. Let z be (9\/(-6))\/((-4)\/i). Solve z = 3*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002778418 to 7 decimal places.\nAnswer: 0.0002778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3\/2 - 31\/18. Let b be 5 - (-1)\/(-2)*(2 - 2). What is the third biggest value in b, -4, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 1 = 3*x, -2*n + 3 = 3*x + 1. Suppose x = 2*w - 2*g - 4, 44 - 6 = 4*w + 2*g. Find the first derivative of 0 + 4 - d - w + 1 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-4 - (-42)\/10). What is the closest to 1 in m, 5, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-9 + 58) - ((-1 - 3) + (-1 - -1))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-52)\/13*(50\/(-5))\/(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**5*m*(m\/(((m\/m**(-7))\/m)\/m))\/m*(m**(-1)*m)\/m*m*m**(2\/11))**(-35) assuming m is positive.\nAnswer: m**(-70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7392.86 millennia in years?\nAnswer: 7392860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-8))\/(5 - (-111)\/(-24))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (122\/183)\/(4\/14*(-35)\/195)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 192 and 2862?\nAnswer: 91584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/16148?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -10*y**4 - 35*y**3 - 1440*y**2 - 1460*y + 2945. Let s(v) = v**4 + 4*v**3 + 160*v**2 + 162*v - 327. Let l(p) = 55*s(p) + 6*t(p). Factor l(u).\nAnswer: -5*(u - 7)*(u - 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -19 + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/24 - (-1)\/(0 - -4). Which is the nearest to -2\/9?  (a) -0.3  (b) p  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u + 64. Let g be f(29). Let z(c) = 40*c + 17. What is the remainder when z(g) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = z. Suppose 2*v - 441 = -3*d - z*v, 4*v + 161 = d. What are the prime factors of d?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -186*l + 14. Let p be v(-5). What are the prime factors of (0 + 6)*p\/96?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 214 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 593026.5s in nanoseconds?\nAnswer: 593026500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 84\/(-189)*3\/(-2)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + 0*l**2 + l + 2*l**2 + (-2*l + 13*l - 4*l)*(-3*l + 1 - 1))*(-5*l + 3*l - 14*l)*(-4 + 1 + 2 + (-3 + 4 + 4)*(2 + 3 - 6)).\nAnswer: -1824*l**3 - 192*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3683099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21338 is divided by 715?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000106051 to seven decimal places.\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 730235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*z = 166 - 706. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001 (base 2) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-10) - (-42)\/5. Suppose 3*t = n*t - 65. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 581 a factor of 340036012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(-15758)\/14*(-6 + (-24)\/24).\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - 4*1\/(-2). Suppose y*o + 4 = -24. Let m be 1\/o*2*-1. What is the second smallest value in 2\/9, m, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85785675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 4*f - 52 = 0, -2859*c = -2857*c - 3*f - 25 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of r**4\/4 - 4*r**3 + 5*r**2\/2 - 11*r - 4. List the prime factors of p(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/(-28) - (-5 - 259\/(-49)))*-10. Let k(h) be the third derivative of 0 + 0*h - 1\/20*h**4 + 0*h**3 + 19*h**2 + 1\/150*h**j. Factor k(m).\nAnswer: 2*m*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 3*t - 2*d + 4*d, 0 = 5*t - 4*d - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2 + 6*j - 191. Does 43 divide x(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (9 + 0 + -10 + -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2 + 192*l + 196*l - 387*l. Calculate n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 - 4*m + m - 60 + 160 - 53.\nAnswer: -3*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8139 + 8051. Let m(h) = -22*h + 5. Let o be m(4). Let n = l - o. Which is the second biggest value?  (a) n  (b) 2\/9  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 4 = 4*j, 0 = -5*p - j + 2*j + 23. Suppose 0 = 6*m - 2*m - 16, -22 = -5*l - 3*m. Let d(z) = -2*z**2 + 7*z**2 - p*z**l. What is d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dhthdrrdfzfzfzfzzzdz. What is prob of picking 1 h, 1 d, and 2 z?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**3 - 60404*c**2 - 1567900*c - 1507500 = 0. Calculate c.\nAnswer: -15075, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-163*p + 169*p + 0 + 2)*(-5*p**2 + p**2 + 3*p**2 - 1).\nAnswer: -6*p**3 - 2*p**2 - 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 2*v**3 + 0*v**3 + 1216*v**2 - 1622*v**2 + 406*v**2.\nAnswer: -2*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 3*f - 3*f)*(0 + 1 + 0) - 3*f - f + 5*f - 3772 + 1933 + 1839 + 17413*f.\nAnswer: 17412*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/30)\/((-6)\/9). Let r = 543 + -542. What is the biggest value in -4\/9, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-3)*(-3)\/10*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -17*l**3 - 2*l**2 - 3*l - 2. Let o be k(-2). Suppose 0*w - r - 28 = -w, 5*w + 3*r - o = 0. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12.2 + -4.3. Let k = i + -7.90035. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/3, -3, -23\/4, -2\/9, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 293*b - 4 - 573*b + 289*b. Determine k(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from addajud?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*n - 3*n + 6*n - 7*n**2)*(11 + 8 + 2) as d + x*n + i*n**2 and give i.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21384 and 9?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.564 - 1.436. Let m be (-2)\/(-2)*(7 - 3). Let s be 2\/6*0 + m. Which is the smallest value?  (a) i  (b) s  (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from {h: 1, t: 3, u: 4, j: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22081987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z + 4*u - 12 = 0, 4*z = -2*u + 26. Let p be (z\/10)\/(7\/35). Factor -2\/7*y**p - 6\/7*y - 4\/7.\nAnswer: -2*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19.97 + 20. Suppose r + 3*r + 336 = 0. Let u = r + 250\/3. Are d and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34037 and 1510771?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -522, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of t**7\/280 + t**4\/12 - t**3\/6 - t. Let f(y) be the second derivative of s(y). Differentiate f(h) with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2691632.\nAnswer: 2, 168227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*(-30)\/(-540) - (-22)\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, r: 4}. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16554 and 30.\nAnswer: 82770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -2\/9  (b) -0.1  (c) 683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2431301020 (base 5) to base 9.\nAnswer: -11700623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.16, 34, 1\/276, 2, 2\/7?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1125.3 + -1125. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7056 - 5375. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 183\/(-3 + (-9)\/(-2)). Let q be (123\/15)\/(39\/585). Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, x: 2, n: 1, u: 2, v: 1}. Give prob of sequence nuw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2135 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2 + (3 - (-10)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.108585689 - 0.371415921. Let y = 3.48 + d. What is y rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (209\/(-110) - (-1)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31854963757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*j**4 - 11185 + j**4 + 3*j + 14445*j**3 + 14343*j**3 - j - 28927*j**3 wrt j?\nAnswer: -12*j**3 - 417*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94126 + 135148. Is q a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/(-6) - (9039\/(-1656) + (-6)\/(-16)). What is y in -r*y**4 - 4 + 12*y**2 + 20*y - 5*y**3 = 0?\nAnswer: -2, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37.068 - -37. Let o = c + 0.137. Round o to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8782, 17711, 26640, 35569, 44498?\nAnswer: 53427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 7*s + 2*h - 2, -4*h = 5*s - 4. Let l(p) = -264*p + 265*p + 3 + 56. Is l(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123 - -269. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16223368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**4\/2 - 7*w**3\/6 + 3*w**2\/2 + 28*w. Let m be k(-7). Suppose 396 = 14*t - m. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4211261 weeks to days.\nAnswer: 2.9478827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11042*x**4 - x**3 - 107800 wrt x?\nAnswer: 44168*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -8*d**4\/3 + 23*d + 27. Let b(a) = -19*a - 1. Calculate b(x(y)).\nAnswer: 608*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 q when four letters picked without replacement from {q: 5, t: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-16) - (-262)\/8. Suppose -2*s - u = -4*d, 3 = 2*d + 2*s - 13. Let b(a) = 2*a**2 + 2*a + 1. Calculate the remainder when d is divided by b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*d - 3*g + 8, -d = -5*g + 20. Let b be 37\/185 - (-13)\/10. What is the closest to 2.3 in b, d, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 92592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -6*q + 5*p + 115, 4*q + 3*p = 192. Suppose 0*v - 2*v + 6 = 0, -2*b + q = -5*v. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2331622?\nAnswer: 2, 89, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11209*q = -5413*q + 401054 + 147542 + 282504 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 16) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2341*z**4 + 629*z**3 + 4143373*z**2?\nAnswer: 56184*z + 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -164.1 and 88?\nAnswer: -14440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -3, 0.1, 29, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -225510620 + -3?\nAnswer: -225510623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-559 - 738 - 719)*(7*a + 8*a + 11 - 13*a - a).\nAnswer: -2016*a - 22176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1316 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 72015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 100101101011111?\nAnswer: 100101101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 371 divided by -2\nAnswer: -371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -12) + (-24 - -48).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, u: 3, m: 12, a: 3}. Give prob of sequence ma.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*o**2 + 107*o**5 - 995*o**5 + o**2 + 164*o - o**2 + o**2 wrt o?\nAnswer: -53280*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -109 less than -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(1584))**2 - sqrt(44)) - sqrt(44) - (sqrt(704) + -1).\nAnswer: -12*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -30940*m + 12685401. Calculate g(410).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14420521 - -13133?\nAnswer: 14434054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 - 6160*j - 189300.\nAnswer: 5*(j - 1262)*(j + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51354 = -6505*z + 409364 + 7642 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29235*g**3 - 16933*g**2 wrt g?\nAnswer: -175410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + 8?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c + 4*c - 2243*c**2 + 2315*c**2 - 64*c**6 wrt c.\nAnswer: -7680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 divided by 23?\nAnswer: 530\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -12. Let x be f\/11 + (-78)\/(-66). Let c(w) = -w - 5*w - x + 4*w. Calculate c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -1\/8, -7\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.171272038 - 4?\nAnswer: -3.828727962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -176*h*u + 23*u + 1 with respect to h.\nAnswer: -176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253106 is divided by 250521.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12302552 (base 6) to base 14\nAnswer: a4a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*k + 1462 = 7*k. Let w = k - -48. Solve -2*m = -2*s + 2, -3*s + w*m = 3*m - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -18*y**3 + 396*y**2 + y - 22. Give t(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**2 - p**2 + 3*p**2)*(-2 + 2 + 6*p)*(2*p - 4*p + p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.5563 - 7.52. What is t rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -241.9 - -227. Let t = u + 15.142. Let i = t + -0.23356. Round i to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 6*b - 8. Suppose 0 = -5*m - 2*i - 41, 3*m - 8*m - i = 38. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 3*r + 8*r)*(3*r + 2*r**4 - 3*r) + (2 - 2*r - 2)*(r**4 + 3*r**4 - 3*r**4) + 2*r**5 - 2*r**5 - 2*r**5.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75 and 873699?\nAnswer: 21842475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + s + 15. Suppose 4*g - l - 1 = 0, 2*g - g - 3*l - 3 = 0. Let p be u(g). Suppose k + 2*k = p. Let t(q) = q**2 - 5*q + 7. Calculate t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -3 - 4 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -853b9a - 14?\nAnswer: -853bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of -1\/6*i**3 + 0*i**2 + 1\/3*i**4 + 1\/20*i**5 - 2\/15*i**6 - i - 2. Let a(w) be the first derivative of x(w). Factor a(v).\nAnswer: -v*(v - 1)*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r - 75 = -1377. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 624.4264 millilitres to litres.\nAnswer: 0.6244264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5 + 0.2. What is the nearest to -0.1 in t, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16022, -15988, -15954, -15926, -15910, -15912, -15938?\nAnswer: -15994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 58194 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 63437648 take away -42?\nAnswer: 63437690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*b - 21 = 0, -u - 3*b - b - 13 = 0. Suppose 5*x = -3*q - 25, u*x = -q - 0*x - 15. Which is smaller: q or 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.394625349 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 73280231153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2570099 and 1029?\nAnswer: 7710297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11110022 - -1?\nAnswer: -11110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0373 times -460623?\nAnswer: 17181.2379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 77 = 3*u + 9, 5*u + 3*p - 115 = 0. Suppose u - 153 = -a. List the prime factors of a.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 46*t - 32. Let u be p(-17). Find the second derivative of -63*l + 11*l + u*l**2 - 461*l**2 + 11*l**4 wrt l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 17523*h**3 - 21 + 19 + 361*h**3.\nAnswer: 17884*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2.08  (b) -0.3  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 41*q + 74. Let f(c) = -46*c + 4. Let t be f(1). Calculate the remainder when v(t) is divided by (69\/15 + -1)*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2270*y**2 + 666263 + 2272*y**2 - 666263.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -61 - 134*d - 80*d - 80*d + 90*d - 167 wrt d.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 42\/8 + (-1)\/4. Let r be 4\/2 - (1 - 2). Put b, r, -1 in ascending order.\nAnswer: -1, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 395667 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f. Let w(o) = 39148*o**2. Calculate z(w(j)).\nAnswer: -78296*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 + 0*j**2 - 2*j**2 + 3 - j**2 - 3 + (-5*j + 5*j - 2*j**2)*(-2 + 0 + 0) + 4*j**2 - 6*j**2 + 4*j**2)*(3*j + 24 - 24).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2079)\/63*7\/(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.501988+1\nAnswer: 2.501988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-5) - (-58 - (-168964)\/2915)\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 975 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -16*i**2. Let x(h) = 271855*h**2. Calculate v(x(m)).\nAnswer: -1182482256400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-102*3\/(-18))\/((-3)\/(-339))?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 19, -4\/15, 5, 20\/73 in descending order.\nAnswer: 19, 5, 2, 20\/73, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -8*y**2. Let a(z) be the second derivative of -19*z**3\/3 - 190*z + 1. Determine a(r(i)).\nAnswer: 304*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 - (-10 + 6 + 28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0205162383 to four decimal places.\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 46 = -5*x + 116, 2*x - 40 = -2*z. Let i be (-90)\/(-33)*88\/16. Is z at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - t - 4, 0 = r + 5*t - 0*t - 12. Let i be (r\/(-4))\/(1\/(-8)). What is x in x - 2*x**2 + i*x**4 - x - 2*x**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/39 and -74\/2313.\nAnswer: 30069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2302652151.\nAnswer: 3, 53, 83, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*q - 5*q + 11 = 0, -3*u - 5*q - 64 = 0. Let v = 77 - u. Suppose 0 = -5*g, -v = -5*t + 4*g - 5. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4) - 21\/18. Let i be 138\/(-92) - 502\/(-308). Let r = i + 1\/77. Which is the closest to 2\/17?  (a) -4  (b) r  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 divided by 1?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1071)\/81 - (-19 + 78\/13).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 31410.\nAnswer: 15705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from {e: 4, v: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2004 + -1117. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0081?  (a) 178  (b) -1\/3  (c) 5\/2  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 662149.6 millilitres in litres?\nAnswer: 662.1496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 30 = 5*a, c - 4*c + 4*a + 96 = 190 - 90 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11421, 11418, 11415, 11412, 11409?\n\"Answer: -3*c + 11424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*i**5 + 610661*i**4 + 13*i + 41679?\nAnswer: -120*i**3 + 7327932*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 841080, 1682149, 2523218, 3364287?\n\"Answer: 841069*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 1 - 3 = 0. Let k be 126\/56 + (1\/(-1) - g). Which is the nearest to 4?  (a) -1\/4  (b) k  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17.63 - -23.17. Are h and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 3:55 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -36*l**2 + 1195*l - 69. Determine h(34).\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 562329 (base 10) in base 8?\nAnswer: 2112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54683?\nAnswer: 149, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1013011112323 (base 4) to base 12\nAnswer: -62a77b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*h = -7525 + 7237 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 5*s**2 - 2*s - 7. Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2437 - -0.243723052. Round b to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 770 (base 13) to base 15.\nAnswer: 59e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1292 divided by -62530.\nAnswer: 646\/31265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 14502244?\nAnswer: 14502250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 + 0 + 0)*(11 + 10 - 2).\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 0*i**3 - 2\/195*i**6 + 0 + 1\/78*i**4 + 0*i**2 + 1\/130*i**5 + 13*i. Factor f(y).\nAnswer: -2*y**2*(y - 1)*(2*y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4*z - 4*z + 7*z**2. Let f(i) be the first derivative of i**2\/2 - 53. Determine r(f(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 66242  (b) -10\/241  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 104*k**2 - 32*k + 32. Let w(t) = -313 + 308 + 742*t - 737*t - 16*t**2. Let v(l) = -7*l**2 - 3*l + 2. Let a be v(2). What is a*w(q) - 5*j(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 2.03.\nAnswer: 0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of o**6\/10 + 5*o**3\/3 + o + 6. Let t(c) be the first derivative of s(c). What is the second derivative of t(v) wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (49 + -16 - 79) + 42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14009845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**5\/20 - o**4\/12 + o**2. Find the second derivative of n(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((-1*(-1 + sqrt(304))*6)**2 - (2*sqrt(6897) + sqrt(6897))\/(3*sqrt(12))))*6.\nAnswer: -1761*sqrt(19) + 65898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {s: 5, y: 2, z: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 5*n = -0*q + 1, 0 = 2*q - 4*n. Which is bigger: q or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 m when four letters picked without replacement from yzyzgffymymygzdd.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 293072 and 19552?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 18 = -2. Suppose -u + 35 = 4*u + y*t, 31 = 2*u + 5*t. Suppose -5*f = 2*b + 17815, 4*b + 5*f + 8915 = u*b. Round b to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 783 + -746. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 2*x - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -654, -2388, -5202, -9102, -14094, -20184, -27378, -35682?\nAnswer: -45102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 62*a - 129. Let l be g(33). Solve 4*d + l*j - 4 = 0, j - 6*j + 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -564\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.3193 rounded to 1 dp?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) 1  (c) -9  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -16*p - 463. Calculate x(-39).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*m - 9*m - 5*m + 6*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (-1 + -6 - (4 - 3))) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 0*l + 110 = l, -5*l - 5 = 0. Suppose 2229120 = -q + u*q. What is q rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 3:59 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and 2.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*d**2 + 0*d + 169 + 256*d**2 + 169 - 338 + 2*d.\nAnswer: 302*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27018075 by -21.\nAnswer: -1286575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 877057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19.254 + -9.646. Which is the third biggest value?  (a) 0.3  (b) -4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5272007\/1269288 - -13\/17629. Let f = -34\/9 - a. Factor -1\/8*k**2 - f + 1\/2*k.\nAnswer: -(k - 3)*(k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 88?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 174573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10297\/214  (b) -1  (c) -1\/4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 10, g: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m + 34. Let j(p) = 19*p + 69. Let d(q) = -7*h(q) + 3*j(q). Let z(u) = -3*u - 16. Let i(v) = 3*d(v) - 5*z(v). What are the prime factors of i(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121455, -242908, -364361, -485814, -607267?\nAnswer: -728720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 221 + 640. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3409, -3408, -3407?\n\"Answer: k - 3410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.0542?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3 + (sqrt(5) - (sqrt(5) - (sqrt(5) + -4 + sqrt(5))*3)) + sqrt(640)\/sqrt(2) + 0 + -1)**2.\nAnswer: -532*sqrt(5) + 1341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.12  (b) -5413  (c) 0.2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112, 827, 2774, 6571, 12836, 22187?\nAnswer: 35242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2472047632 to the nearest integer?\nAnswer: 49720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - r + 2 = 4, -10 = -3*t + r. Suppose 4*b - 84 = -t*d, 2*d + 22 - 6 = b. What is the remainder when (-9)\/(-18 - -9)*(59 + 0) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1575 = -47*z - 21784. Let j = -489 - z. What is the lowest common multiple of 40 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 84682.5 and -125.\nAnswer: -10585312.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 6 = -17*o + 44 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189 = -7*w - 6*h - 68, h = -3*w + 44 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -27*p**3 - 4*p**2 + 4*p. Let y(f) = 27*f**3 + 5*f**2 - 5*f. Let z be (-39 + 34)*(-4 + 3). Determine z*v(u) + 4*y(u).\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(33)\/(2*(sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11))))**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 560 - 339. Let b = o - -723. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t - 2*j - 531 = -14*t, 2*t + 2*j = 354. Let z = -167 + t. Calculate the remainder when 189 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 + 46.6. Let n = p + -1.600224. What is n rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**2 - 11*q**2 - 3*q**2 + 29*q**2 - 8*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-one fifths of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 2, a: 2, e: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2420*i**2 - 1328*i**2 - 601*i**2.\nAnswer: 491*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**0\/h*h*h)**(-16\/7))**(-1) assuming h is positive.\nAnswer: h**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -74948 + 0.3.\nAnswer: -74947.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -7*p. Let t(m) = -12*m. What is u(t(s))?\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 100*d**2 - 4*d + 3. Calculate the remainder when q(1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 2) + -3 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12847 = 64229\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56 + 107. Calculate the remainder when j is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**4*b**13*(b**(-4\/5)*b*b)**(-2\/17))**48 assuming b is positive.\nAnswer: b**(68784\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: -1442502 (base 6) to base 8\nAnswer: -243146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(135)\/(sqrt(9)*-2))\/(sqrt(3)*-2*-4) + (5*sqrt(125)*-2 - sqrt(125))*3)**2.\nAnswer: 34875173\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -6) + -19 + -1 + 6 + -7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1901 - 1897 + 0*y + 15*y + 5715 - 1917.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69929, -139794, -209659, -279524?\nAnswer: -349389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 237985956 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86 + 53 - 23069*i**2 + 33.\nAnswer: -23069*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 11. Let i = 0.3 + m. Which is the second smallest value?  (a) 0.2  (b) i  (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 298, -3, -2, -4, 9, -7, -6 in decreasing order.\nAnswer: 298, 9, -2, -3, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.039, 2, 0.3, -3 in descending order.\nAnswer: 2, 0.3, 0.039, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29142*326.9.\nAnswer: -9526519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**3 + 5*z**2 + 2*z - 6. Let i be x(4). Suppose -7*d + 10*d - 240 = -2*h, -3*h = 18. What is the highest common divisor of i and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**9\/252 + l**5\/20 + 8*l**2. What is the third derivative of r(j) wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16732324?\nAnswer: 2, 7, 85369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*b - 12 = 84*b. Solve -b*l + 25 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + p**2 - 5*p + 1. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 22, 15, 6, -5, -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*u - 2*x, 3*u + u + 2*x = -8. Let y(d) be the third derivative of 1\/2*d**3 - 3*d**2 + 1\/24*d**4 + 0*d + u. Find the first derivative of y(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - (-2)\/6)*12\/(-26). Let a be (-1 - -1)\/((-1)\/1). Do h and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -7, 0.3, 0.5, -0.03, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 - 535\/(-140) - 6\/(-14). Let a be 0 + 0 - (1 - 3). Let k be (a + 36\/(-15))*1. Sort -0.5, k, i.\nAnswer: -0.5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/5411 and -109\/7730.\nAnswer: 54110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -19 and 0.269.\nAnswer: -18.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -114881 and 81211139.\nAnswer: 81096258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (34\/8*-2)\/((-21)\/210). Suppose n - 43 = 6*b. Solve 0 = 2*f + z - 2 + 3, -2*f = 3*z + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*t**6*z + 727*t**5*z**3 + 2*t**2*z**3 + 826*t*z**3 wrt t?\nAnswer: -240*t**3*z + 43620*t**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2011446 divided by 111747\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6.7 in -14\/5, -2\/5, 4, -7955, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6978, 27929, 62856, 111765, 174662, 251553?\nAnswer: 342444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -53 + 20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.06*-0.3.\nAnswer: 0.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/4 and 76\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - k + 12 = -3*q, -4*k + q + 34 = 0. Suppose 41 = j + 5*o + 38, -o = -3*j + k. Solve v + 1 - 4 = 0, j*v + 11 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - a + 776 = -20, 2*a - 796 = -2*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72d (base 14) in base 4?\nAnswer: -112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1040\/1103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -23*z**4\/4 + 41*z**3\/2 - 38*z**2. What is the units digit of a(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 198.\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.006236 kilograms to tonnes.\nAnswer: 0.009006236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.106 - -0.59. Let u = 54.484 - q. Is u at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - 10. Let n be (0 - t)\/((-33)\/(-22)). Suppose 0 = -4*l, -5*l + n*l = f - 38. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2073\/16 - -2077\/16. Let y = -1 + 0. Let j = y + -1. Which is the third smallest value?  (a) g  (b) j  (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1641, -5, 2 in ascending order.\nAnswer: -1641, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -22212?\nAnswer: 22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3265251 is divided by 2855.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*6*(-3 + sqrt(1088) + 0 + 4) + 4)**2.\nAnswer: 6336*sqrt(17) + 352996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t + 59228 = 59003 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-37)\/222)\/((-2)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**3 - 2*y**2 - 8*y - 5. Determine v(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.23914 + 0.2497. Round v to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of -11*j**3 - 3\/2*j**2 - 105\/4*j**4 - 28 - 15*j**5 + 0*j. Factor o(b).\nAnswer: -3*b*(b + 1)*(5*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1031*k**2 - 2*k - 2 + 1022*k**3 - 3064*k**3 + 1018*k**3 + 1022*k**3 in the form d*k**2 + b*k**3 + n + h*k and give d.\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 7:04 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19158 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 4, 13, -1423, -5 in increasing order.\nAnswer: -1423, -5, -2, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(11\/(-10))\/(1176\/(-1470)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + (-148)\/144)*-3. Which is the closest to 2\/3?  (a) 0  (b) w  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n + 515*n**2 + 2*n**3 - 527*n**2 - 3*n**3 + n**4 as k*n**3 + w*n**4 + t*n**2 + u*n + s and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5*h - 4*h - 3*h)*(2 + 3 - 3) - h + h + 2*h + 5*h - 6*h + 5*h)*(267*h - 461*h**2 - 279*h - 125*h**2) in the form d*h + z*h**2 + p + i*h**3 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 5. Let w(s) = s + 5. Let p(j) = -j - 4. Suppose 0 - 3 = -f. Let h(k) = f*p(k) + 2*w(k). Let t(z) = -4*c(z) + 9*h(z). Give t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 41*b**2 - 2. Suppose 29 + 5 = -17*u. Let z(f) = -f**2 - 2*f + 4. Let v(k) = -15*k**2 - 33*k + 66. Let n(r) = u*v(r) + 33*z(r). Calculate n(w(o)).\nAnswer: -5043*o**4 + 492*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -6. Suppose -p*a - 1 = -7. Let b be a\/(-42) + (-2)\/(-6). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/8*(170\/(-42) - -3 - (-2)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 12 = 9. Which is smaller: 25 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -96393467.575\nAnswer: -96393454.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*w + 227*w = 0. Let z = -17 - -12. Which is the nearest to 0.2?  (a) -3  (b) z  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -163026*3\nAnswer: -489078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 381857923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 173005 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -0.2. Suppose -b + 3 - 1 = 0. Suppose 2*m = -2*f, 4*f - 7*m + b*m - 45 = 0. Sort 2, l, f in decreasing order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -69*f*o**2*x**2 + 71*f*o**2*x + 424*f*o**2 - f*o*x + f*o - 38*f*x**2 + o**2 + 157*x**2 - 2*x wrt x?\nAnswer: -138*f*o**2 - 76*f + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*b - b. Suppose 3*j - 32 = p - 6*p, -2*p + 47 = 5*j. Suppose 5*g = 2*z - 0*g + 17, -z - g + j = 0. Solve z*l + 5*i - 16 = 0, l = i + b + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 31, -2\/107?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 61*z + 703. What is r(25)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51993869, 51993865, 51993861?\nAnswer: 51993857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*z**3 - 124*z**3 - 122*z**3 + 367*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-164)\/14063*1883 - (-286)\/13.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2\/5 + 192*t\/5 - 80.\nAnswer: 4*(t - 2)*(t + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-1))\/(730\/876).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 30362*b + 607211. Calculate h(-20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-18)*(u\/(u*u**(3\/4)))\/u assuming u is positive.\nAnswer: u**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283927 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/742014 and 88\/189.\nAnswer: 742014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 6, l: 4, s: 4, c: 5}. Give prob of picking 3 c and 1 l.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 5602 = 21882. Suppose 33*z = x + 7832. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -7.5. Let u = -0.1 - -0.1. Which is the nearest to -1\/3?  (a) 5  (b) q  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15749 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + x - 1982 = 0, s - 3*x - 424 = 560. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*h - 3)*(2 - 2 - h)*(-2 + 1 + 2)*(0 + 2 - 5).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 44449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 143090 and 4.\nAnswer: 286180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 2060 = 3*f - 7*f, 2040 = 4*d + f. What are the prime factors of d?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*5*-6*(sqrt(117)*2 + sqrt(117) + -1 - sqrt(117))*3*-3)**2.\nAnswer: -21870000*sqrt(13) + 854752500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 24. Calculate f(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -97, 10\/9, -13, 5, 4, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 39?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvwwvvovvvvvvyv. Give prob of picking 1 y, 1 w, and 2 v.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(17) + -1))**2 + 5*(sqrt(17)*3 - sqrt(17)).\nAnswer: 2*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 3*z, -2*z = 44*w - 41*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of 13*x**5\/60 - x**2. Let p(l) be the third derivative of -l**5\/60 + 262*l**2. Determine p(g(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-4)\/(-15))\/(110\/(-8525))*(-162)\/(-36))\/3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -26 - -1*(-10)\/(-2). Let i be 102\/j*-1 - (-1)\/7. Suppose 381 = -i*h + 1046. List the prime factors of h.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 850 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 - 14. Let r = -0.54 + 1.04. What is the third biggest value in -1\/5, r, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of -7\/12*v**4 - 1\/6*v**3 - 2 + 41*v**2 + 0*v. Calculate y(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -60265?\nAnswer: -60265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 58\/105, -2, 2\/11, 0.3, 1\/2, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*b*n**3 + 54*b*n**2 + 1490*b with respect to n.\nAnswer: 9*b*n**2 + 108*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25664900*x - 23830203 wrt x.\nAnswer: 25664900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*s + 2 + 1 - 50*s - 57*s - 43*s + 203*s.\nAnswer: 8*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j + 1. Let u = 52 - 54. Let b be t(u). Suppose -11*l + b*l = -16. Solve 0 = 4*k - 4*w - l, k + 3*w = 6*w - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(684))**2 + -1)*-4 - (-6*(sqrt(684) + -2) + sqrt(684) + -1 + 5).\nAnswer: -43788 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -251 + 256. What is the smallest common multiple of 5 and 2*2 + (10 + u - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2897692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 0 + 0 - 21*a**2 + 18*a**2. Let g(s) = -10*s**2. Give n(g(u)).\nAnswer: -300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 633188 and 40592.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -523*u**3 + 7*u**2 + 9*u - 9. Let r(q) = 262*q**3 - 3*q**2 - 4*q + 4. Give 9*r(k) + 4*x(k).\nAnswer: 266*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 551*g - 15. Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1016*j - 46961 = -126*j - 162303 for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 513 = 2*w, -5*s + 2*w + 2597 = -0*w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1934, 1933, 1924, 1901, 1858, 1789, 1688, 1549?\n\"Answer: -a**3 + 2*a**2 + 1933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1676 and 12802964.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59543820 divided by -5652.\nAnswer: -10535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -211*n**2 - 4448*n - 348. Calculate g(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/270 and -82\/64127511?\nAnswer: 641275110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1998490, 7993969, 17986434, 31975885?\n\"Answer: 1998493*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -52075282*n**6 - 501*n**2 - 375*n + 3.\nAnswer: -6249033840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/123 + -115\/492. Let j = -1.38 + 1.88. Let o be 26\/(-117) + (-286)\/(-72) - 3. Which is the closest to 2?  (a) j  (b) o  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - c + 7206, 2*x - x + 1809 = 4*c. Let h = x + 12629\/7. Let m = 96202\/15 + -6417. Calculate the common denominator of h and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*x - 5*x + 32 + 353*x**6 - 34531*x**2 + 2*x + 34533*x**2 wrt x.\nAnswer: 42360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 18*o + 157. Let s be r(-24). Solve s*q = -2*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 - -10. Suppose f = 3*u - 2*u. Sort 5, u, 2 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -r - 16, t - 3 = 5*r - 19. Suppose 5*f - 28 = t*f. Let h = f - 17. Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 3*p**5\/5 - 7*p**4\/4 + p**3\/2 - 664*p. Let c(d) = -3*d**3 + 5*d**2 - d. Determine 21*c(v) + 5*u(v).\nAnswer: -3*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 266*a - 26. Let u be p(16). Suppose 17*m = 7*m + u. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 21  (b) 0  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*q + 94460 = 127535 for q.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 13*s - 3. Let o = -36 - -25. What are the prime factors of m(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -731715 - 222446 = -188*a + 1160839. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(-2*d**2 + d**2 - d**2) + 14 - 11 - 15*d**2 - 4.\nAnswer: -11*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-208)\/17 - -4 - (832\/(-884))\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.004 + 6.504. Let a = -6.5 + m. What is the second smallest value in a, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 - s**3 + 2*s**2 + s**4 + 3*s**2 - 4*s**2 to w*s**2 + z + t*s + c*s**3 + j*s**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/24 and 107\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**3 - i**4 - i**3)*(-3 + 2*i + 3) + (0*i**4 - 2*i**4 + 6*i**4)*(0*i + 8*i + 2*i) + 0*i**4 + i**5 + 0*i**4 + (-2 - i + 2)*(0*i**2 + 2*i**4 + 0*i**2).\nAnswer: 37*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 102135294 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 218 = -61. Let b(o) = 35*o + 73. Let v be b(-1). Is v > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6850 and -17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*b - 2874, -696 = -b - 71*o + 68*o. Calculate the least common multiple of 24 and b.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38 in -2\/3, 1\/4, -52, 0.5, -5, 167?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-1)\/(-108))\/((-4)\/(-344)) and 49\/(-18) + 9860\/1740.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 21929349?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 2 = -y - 4*l, -5*y = 4*l + 5. List the prime factors of (y + 2)*(-44)\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**4 + 3*f**3 + 21*f**2 + 20*f + 12. Let a(u) = -7*u**4 - 12*u**3 - 82*u**2 - 79*u - 46. Let m(v) = 3*a(v) + 11*g(v). Determine i so that m(i) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -163 + 273. Let o = 167 + 29. Let k be o\/9 - 2\/(-9). What is the highest common factor of k and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 4:26 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/142 + (-10037534)\/(-137527).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30396)\/(-156) + -11 - 6\/(-39). What is the highest common divisor of n and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -332 + 489. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3817 (base 10) to base 6.\nAnswer: -25401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -91*j**3\/3 + 53. Let v(r) = -r. Give v(c(o)).\nAnswer: 91*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.057 - 0.123. Let n = b + -82.934. Let v = n - -83.71. Round v to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4*y + 12 - 8 + 6. Let d be x(-6). Suppose d = 4*l - 2*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/22)\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 60, 71, 88, 111?\n\"Answer: 3*h**2 + 2*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 21 - 58*a - 21 - 31*a in the form w*a + c and give w.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from kyfkylykkyykknyq.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1588*q. Let i(c) = 25*c**2 - c. Give x(i(t)).\nAnswer: -39700*t**2 + 1588*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1518 - 919. Suppose 0 = -2*y + 3*y + 2*u - 146, -4*y - 5*u + v = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 - ((164 - 131) + -82)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.988 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (553 - 570) + 4 + -14.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 10:08 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*x**2 + 0 + 0*x**3 + 0*x + 1\/3*x**4.\nAnswer: x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -152, -250, -300, -302?\n\"Answer: 24*i**2 - 170*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 563 divide 1068500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 894198884 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**2 - 585568*p + 14052480 = 0. Calculate p.\nAnswer: 24, 292760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 362602733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-396))\/(((-2)\/(-18))\/((-492)\/(-36) + -15)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31270, 62536, 93800, 125062, 156322, 187580, 218836?\nAnswer: 250090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 252, 379, 506?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/6)\/(21\/63). Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 2. Let o be w(-2). Let l(z) = z**3 + 4*z**2 - 2*z - 2. Let q be l(-4). Solve -2*c = -q, c = 4*u - o*c - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21473 + -29705020?\nAnswer: -29683547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 4, -0.5, -9, -7158, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 265987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 831202*y - 831202*y + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 850 and 5014700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d + 34*d = 3*x - 9737, 0 = -2*x + d + 6482. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a meter in centimeters?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 23 = 5. Let f be 30 - 1\/(-3)*0. Suppose 5*p - 51 = -2*y - 15, 5*p = -5*y + f. What is the lowest common multiple of p and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j**2 - j + 362. Give w(0).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**2 - 90*l - 1175. What is w(-12)?\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/8  (b) 3  (c) -2\/7  (d) -3\/4  (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/580 and -37\/2404725?\nAnswer: 278948100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 7*y + 2. Let t be m(-7). What is the third derivative of j**2 - j**2 + j**2 - 2*j**6 - 4*j**t wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 194, -118, 0, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/106 and -73\/236.\nAnswer: 12508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -1730*i + 2445*i - 4150*i - 4045*i as n*i + h and give n.\nAnswer: -7480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 427\/6 + -71. Let b be (-24)\/(-10) - 6\/3. What is the closest to b in -4, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17558838 divided by 2\nAnswer: -8779419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2302*w + 20403. Give f(9).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 7*k - 37. Let q be w(6). Let o = 332 - q. What is the remainder when o is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2 - 5336961*h = 0. Calculate h.\nAnswer: -5336961, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3*1\/5*(-420)\/252\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a416 + 883?\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15492 - -15513. Solve 0 = -8*m + t + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3263166 is divided by 6928.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -9*p**4\/8 + 7*p**3\/2 - 6*p + 3. Let x(z) = 0. What is z?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 4*v = m + 11, 5*v = 5*m + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -327, 2, 11 in descending order.\nAnswer: 11, 7, 2, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(-2\/17)*c))\/c**(2\/3))\/((c**(-8)\/c)\/c**(-6))*((c\/c**(-1))\/(c\/(c**(-2\/9)*c*c)))\/(c**(-2\/3)\/c**(-3\/5)) assuming c is positive.\nAnswer: c**(4051\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6540753478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 3. Let z be w(5). Let b = 3 + z. Let n(d) = 2*d**3 + 2*d - 1. Give n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h + 1 - h + 0*h. Let q(k) = -6*k. Let g(x) = 7*x. Let m(z) = 5*g(z) + 6*q(z). Let v(c) = -a(c) - m(c). Differentiate v(s) with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 175 divided by 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 23*m**2 - 3*m + 1. Is 10 a factor of t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-1) + (-2 - -2). Suppose 3*b + i*h = 57, -2*b + 54 = h + 19. Suppose -3426 = -22*x + 226. What is the lowest common multiple of b and x?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 270*i - 5208.\nAnswer: -3*(i - 62)*(i - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 16) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 PM and 1:42 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1444 + -15247?\nAnswer: -13603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -598*l + 593*l + 4*b = -91897, -3 = b. What are the prime factors of l?\nAnswer: 17, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 74 = -36. Find the third derivative of -19*q - 24*q**4 + v*q - 103*q**2 + 82*q**2 wrt q.\nAnswer: -576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(2) - (0 + sqrt(32))) - 5*sqrt(2)*-1*-2)**2.\nAnswer: -78*sqrt(2) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*n - 6, 5*f - 4*n - 67 = -2. Let u be f - 9 - (-5)\/(5\/2). Solve -v - u*v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*1*(0 - 0). Suppose -t = -s*t. Suppose 0 = d + 2*i, -4*d + 3*i = -t*i - 11. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + 12*s - 24. Let q be v(6). Suppose -2*n - 5*p - 10020 = -3*n, 3*p = -q. What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 17791042253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 12*q**3 - 4*q**2 + q - 4. Let r(f) = 11*f**3 - 3*f**2 - 3. Let a(h) = 4*r(h) - 3*y(h). Let d(l) = -15*l**3 + 5*l + 1. What is -5*a(k) - 3*d(k)?\nAnswer: 5*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 568542585 to the nearest integer?\nAnswer: 23844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*z - 15*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -48.873044 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-1\/4)*a))**35)**(-3\/19)*a*a\/(a**(-2\/11)\/a*a)*a**(1\/2)\/a*a*(a**(-1\/2))**(-7\/6) assuming a is positive.\nAnswer: a**(1181\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -301, 4.732, 0.4, -2\/5?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.9 + -6.43. Let z = t - -0.03. Which is the biggest value?  (a) 0  (b) z  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11600 and 1200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -3*m**2 + 9*m - 3*m + 2 + 5*m + 2*m - 8*m. Let n(a) = 2*a**2 - 4*a - 2. Let v(u) = -2*u + 5. Let q be v(5). What is q*n(g) - 4*i(g)?\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7599, -15198, -22793, -30384, -37971?\n\"Answer: 2*g**2 - 7605*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/78*1)\/((-17)\/102)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*m = 6*m + 2100 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -152  (c) -514  (d) 4  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/25)*(j*j**(-2\/131))\/j assuming j is positive.\nAnswer: j**(-312\/3275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/35, 3\/4, 9\/2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 4*x = 4*j + 1037, j + x - 211 = 0. Suppose 0 = 5*k - j - 1466. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*a - 257 = -977 - 342 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73 divided by -73.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*c**2 + 6923390*c - 2396666454605 = 0. What is c?\nAnswer: 692339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2650 and 50?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**4 + 2*n**3 - 2*n**3 + (-n + 3*n - 4*n)*(-2*n**2 + 2*n**2 - n**3) + 2*n**2 - 2*n**2 + 8*n**4 as u*n + s*n**3 + y*n**2 + i + b*n**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(1\/3)\/(h\/(h*h**(-2)*h))*(h*h**1*h)**(1\/28) assuming h is positive.\nAnswer: h**(-47\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111793 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3756?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 8:25 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9858480 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.037820686 rounded to 5 dps?\nAnswer: 0.03782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*r - 6175 = -177*r - 80*r + 5345 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**3\/7 - 174764*i**2\/7 - 1048692*i\/7 - 1573092\/7 = 0 for i.\nAnswer: -3, 43697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9, -137, -357, -675, -1097, -1629?\n\"Answer: -g**3 - 40*g**2 - g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 471.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {i: 4, z: 7, k: 3, o: 2, t: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0*s - s + 2*s)*(-79119 - 94097 + 158464) in the form g*s + j and give j.\nAnswer: -14752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*x**4 + 26*x**3*z**3 - 15*x**2*z**2 + 4*z**3 wrt x?\nAnswer: -48*x + 156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -6\/5  (b) 0.2  (c) 0.4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -32*u**2 + 4*u + 3. Calculate g(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 39 = 34. Suppose -4*g - 10 = -x*l, 3*l - 2*l - 2 = 5*g. Let h be -4400 + (4 - 3 - -1) - l. Round h to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/25 of a milligram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 10:48 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 6:32 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -41762000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36155 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -222  (b) -1  (c) 0  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j + 26 = -94. Let y(p) = p**3 - 3*p**2 - 5*p. Let r be y(4). Sort r, j, 5 in increasing order.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + 0 + 10 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -22102101111202112?\nAnswer: 22102101111202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeerereeeerrreeeer. What is prob of picking 3 e?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2410 + -1956. Is 458 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001144018721 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1366*s**3 - 895*s**3 - 975*s**3 + 2648*s**3.\nAnswer: -588*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 700*k**2*r - 2085*k**2 wrt r?\nAnswer: 700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 433.8276 centuries?\nAnswer: 4338.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.192853 nanograms to milligrams.\nAnswer: 0.000009192853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q - 17943 = 3*j, 5*j + 5 = 0. Is (q\/36)\/((-1)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/1 + 8\/(-20). What is the closest to 2\/5 in -4\/3, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18502294 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-2)*16\/(-12). Let q be (-83497)\/6760 + w\/10. Let h = q + 9\/338. Calculate the common denominator of h and -101\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*p**3 - 420480*p**2 - 726234*p - 305776 = 0.\nAnswer: -19111, -1, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -153*n + 154*n + 8 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -276426182*v**5 + 731776644*v**2?\nAnswer: -16585570920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (214\/(-16))\/(276\/(-452640)*-205)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 9629496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -29, -10 in ascending order.\nAnswer: -29, -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 508719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 6*y**3 - 244*y**2 - 88*y + 38. What is d(41)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10211021211100 (base 3) in base 15?\nAnswer: 2a25c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 6*c + 8. Let m be (-10)\/c + 8 + -11. Let l(i) = 2*i - 8. Let y be l(4). Solve 0*k + 2*k + m = y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3041 + -3041.3. Which is the fourth biggest value?  (a) 69  (b) j  (c) 1\/2  (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4938810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -20*v - 137. Let c be r(-7). Let y = 0.1 - 0.5. What is the third biggest value in y, -0.2, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 3375?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 393257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000038452023 to 7 decimal places.\nAnswer: -0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-50)*38 + -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9361500 rounded to the nearest 10000?\nAnswer: -9360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*p**5 - 231*p**3 - 11565*p + 4?\nAnswer: -200*p**3 - 1386*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -5*q**2 - 240537820*q - 2892922142517620 = 0.\nAnswer: -24053782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4815\/(-564))\/(-5) - 2. Let r = z + 2\/47. Does r = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -211 + -66?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - 2) + 33\/(-18). What is the closest to -2\/9 in w, -3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 2*h**3 - 7*h**2\/2 + h - 3369. Let i(g) = -5*g**2 + 6*g - 1. Let m = 11 + -6. What is m*i(l) + 4*v(l)?\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 321*t + 333. Let q be h(-1). Solve 3*i - 3 = -u, 3*u - 17*i + q*i = -19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 9:47 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*l**4 - 56\/3*l**2 - 28\/3*l**3 - 32\/3*l + 0.\nAnswer: -4*l*(l + 1)*(l + 2)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25451 - -4305?\nAnswer: -21142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(567)*-1)**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*k = -2*u + 21, 4*u = k + 5. Suppose -3*y - u*y = -10. Let b = 12 - -20. Solve y*c - c + 12 = 4*m, -b = -4*m - 4*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1584) + sqrt(1584))*-6.\nAnswer: -216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/12*-3 + (-6)\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 593 - 467. Let j(v) = -8*v**2 + y*v - 3*v**3 - 133*v + 4*v**3 + 0*v**2 - 13. Give j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 4*n - 5. Let t be b(-5). Suppose 5*h - 24*h + 1140 = t. Suppose -4*k - 33 = -153. Calculate the greatest common divisor of k and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1810534238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 32\/10 - 2\/10. Let m(k) = 30*k + 3. Let x be m(n). Calculate the least common multiple of (-2)\/(-8) - x\/(-12) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from uwbtltllllttbul.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4*f**3 + f**2 - f. Let t be i(1). Let l = 26 + -22. Suppose 2*a - l*a = -10. Solve 4*y = a*x, 9*x = y + t*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 1 - (-5 + 6 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**4 - 39*t**2 + 66*t**2 + t**4 - t**4 - 2*t**4 + 11*t**4 + (0*t - 4*t + 3*t)*(0*t**3 - 2*t**3 + 0*t**3) + 3 - t**4 - 3.\nAnswer: 11*t**4 + 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**2 + 35*u + 6. Let g be c(0). Let k(w) = -7*w + 10. What is k(g)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.97 - -0.03. Let q = 1.24 + 0.06. Let f = q - 0.3. Which is the biggest value?  (a) s  (b) f  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 382899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169443.\nAnswer: 3, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -556.99996212 + 557. What is p rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -d**5\/20 + 7*d**4\/12 - 7*d**3\/6 + 9*d**2\/2 - 20*d. Calculate w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 954.1502 weeks?\nAnswer: 577070040.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -570, -1978, -4314, -7578, -11770, -16890?\nAnswer: -22938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*p + 3 - 3)*(2 + 8 + 8)*(-p + 2*p + 9*p).\nAnswer: -2700*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -m + 4*w - 3*w, -2*w - 38 = -3*m. Let c = m - 6. Suppose 5*k - q = 6, c*k + 5*q - q = 0. Let j(r) = 3*r**2 - 1. What is j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -16 + (-16 - (-14 - -11)). Is 72 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 6*s - 30. Let o = 17 - s. Suppose -b + 3*b = -3*z + o, -4*b + 11 = -z. Put 4, z, -3 in decreasing order.\nAnswer: z, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {g: 1, k: 1, i: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.524 and 1530?\nAnswer: -801.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 130 and 4907149.\nAnswer: 49071490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -0.2861305?\nAnswer: 0.1144522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -21*u**2 + 13*u - 21. Let k(h) = -10*h**2 + 6*h - 10. Determine -13*k(v) + 6*l(v).\nAnswer: 4*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 814936 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 0)*(-56)\/(-4). Suppose 2*a + v = 4. Let m be (-32)\/6 - 4\/a. Let t(d) = -d - 5. Let c(f) = -f - 4. Determine m*c(q) + 4*t(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eooe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.018 + 16. Round n to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/5))**(2\/23)\/(p\/(p\/(p*p**(-5)\/p))*p*p**(2\/7)) assuming p is positive.\nAnswer: p**(2962\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t + 5. Give i(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 47261.\nAnswer: 1\/47261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 61 + -57. Let u(x) = x. Let i(g) = 7*g + 1. Calculate k*u(s) - i(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -85 + 124. Suppose -6*h + 531 = 53*h. Calculate the highest common divisor of h and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7640 + -61199\/8. Let m = 4305655\/6 + -723456. Let u = m - -5830. Calculate the common denominator of f and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 9) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 4*i = 23 - 45, -13 = -2*k - i. Suppose 12*u = 7*u + 2*y + 16, -4*y = 3*u + k. Solve u*l - 5 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.54233769 rounded to one dp?\nAnswer: 78.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = r - 5*r. Let l be (-6)\/r*(-8)\/(-6). Suppose 3*v = -l*v. Solve 2*h - d + 6 = v, 4*d = -2*h - 0*d + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41683 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -899696 or -899692?\nAnswer: -899696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {h: 4, d: 2, u: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*v**3*x**3 + 49776*v**3*x - 3*v**3 - 49*v**2*x**4 wrt x.\nAnswer: 204*v**3*x - 588*v**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*p - 11*p + 48. Let n be 18\/2 - (-160)\/p. Which is the nearest to n?  (a) -6  (b) -3\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.05  (b) 3  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + 324\/(-60))\/(4\/(-2 - -22)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from ooaoao?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/4*12\/2016*-18\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 4*x + 1. Let t be y(-3). Solve o - t*n - 12 = -o, o + 22 = -5*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 7 + 1)*(146*y**2 + 1747*y**2 + 1119 + 233*y**2 - 1119 + 77*y**2) in the form t*y**2 + q*y + m and give t.\nAnswer: -22030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 621513, 621435, 621357?\n\"Answer: -78*m + 621591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.041 + -4.041. Sort 1\/3, z, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 6*k**3 + 98*k**2 - 12018*k - 192803. What is i(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 47183 divided by 10\nAnswer: 47183\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32 + 32. Which is smaller: 6\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z - 6. Let f be n(7). Let r be (-1)\/f + (-8)\/(-2). Suppose 4*w - 199 = p, 3*w + r*p = 156 - 3. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47157145 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**5 - 9*n**4 + 4*n**4 + 3*n**4 + 0*n**5 - n**5 - n**5 + (-2*n + 0 + 0)*(2*n - 2*n + 2*n**4).\nAnswer: -8*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - n + 3128*n**3 - 411*n**3.\nAnswer: 2717*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2802454420 to the power of 1\/2, to the nearest integer?\nAnswer: 52938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19 (base 11) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-840)\/(-90)*3\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0142 - -2.0442. Let k = s - 0.03. Let t = -7 + 4. Put t, k, -0.4 in decreasing order.\nAnswer: k, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-94)\/14 - 2\/7. Let g = o - -14. Suppose -5*f - g = -47. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**2 - 9*v + 1127. List the prime factors of g(23).\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 8*p - 4. Let c = 5 - -10. Calculate the remainder when c is divided by j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 + o**2 + o**2 + 6*o - o**2 - 3. Calculate k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 429716208 a multiple of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, 4608, -3.\nAnswer: -8, -5, -3, 4608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**3 - 128*n**2 - 232*n + 7408. Calculate a(32).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 89282090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16251, 16269, 16295, 16329, 16371?\n\"Answer: 4*t**2 + 6*t + 16241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 3*x + 1680 = 0, 0*x - 2*x - 1136 = -2*p. List the prime factors of p.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 6*y**2 - 157*y + 29. Let l be h(26). Solve l*a + 13 = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32704502 divided by -674\nAnswer: 48523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 720 - 40. Let q be (-2)\/(-7) - (w\/(-35) - 5). Solve 4*x - q = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41)\/2870*-90*(-2)\/(-9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -16*y. Let b(h) be the second derivative of h**4\/3 + 20*h - 1. Determine c(b(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -78, -95, -130, -189, -278?\n\"Answer: -p**3 - 3*p**2 - p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-23)\/((-2691)\/546)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150580.\nAnswer: 2, 5, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 - -4. Let d(r) = r**2 - 16*r + 60. Let m be d(3). Let l = m + f. Solve -20 = p + l*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41376256 divided by 2?\nAnswer: -20688128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62\/185 - -12\/185. Which is greater: b or -14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/(-55) + ((-1584)\/(-30) - 32)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*q**3 - 2*q + 2*q**2 + 3 + 21*q**3 + 16*q**3 + q**3 to the form w + j*q**3 + a*q**2 + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 16*u + 208. Determine a(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-1 + -5 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6268798 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*1*(-2)\/(-10). Let d = 0.34 + -0.24. Which is the closest to -3?  (a) d  (b) 2\/17  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10608144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26157124 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 32115803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/11, -98, -0.1 in descending order.\nAnswer: 4, 2\/11, -0.1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5289 is divided by 753?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30)\/((-36)\/(-6))*-701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209\/(-22) + (5 - 1)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a + 13. Give s(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*v - 13 - 19 = 0, -5*v + 16 = p. Let j be (5\/p)\/((-4)\/128). Let t be -3 + 3 + j\/2. Solve 4*q = -16, 0 = 3*s - 2*q - t - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 36. Let x = l - -20. Which is the nearest to x?  (a) 1  (b) 1\/4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15591823 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.8 times 0.4?\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 12*h + 9. Let v(i) = -1129*i + 2261*i - 1134*i. Give v(z(n)).\nAnswer: -24*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (11 + (8 - 17))) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 862345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 488420 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 103 - d + 27 + 139*d**3 - 5 - 84*d**3 + 99*d**3 with respect to d.\nAnswer: 462*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*l**2 - 117*l**2 - 2 + 14*l**2.\nAnswer: -140*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-16)*1)\/(5\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/5)\/((-6)\/(-180)). Let a be (-99)\/v - 0\/(-4). Let l = a - 39\/8. Sort 2\/13, -2\/3, l.\nAnswer: l, -2\/3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 447067 divided by 58\nAnswer: 447067\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4260 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**2. Let k(h) be the second derivative of 2*h**3\/3 - 7*h. What is k(z(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) + sqrt(91) + -4*(sqrt(91) + sqrt(91)*-1 + sqrt(91)) + sqrt(91) + sqrt(91))\/(sqrt(112)\/sqrt(4) + sqrt(28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -331 + 336. Suppose -7*z + 8208 = f*z. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46064516 and 82289?\nAnswer: 4331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 1:01 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1405 + 1411 - 3*d**2 + 2*d**2 + 1402 - 4212.\nAnswer: -d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 675\/1125 + 644\/10. Solve -u + 23 = 14*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -22, -6, 1, 0, -1, 73 in decreasing order.\nAnswer: 73, 7, 1, 0, -1, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 991 = -10*i + 271. Let y = i - -473. What are the prime factors of y?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of -j**6\/180 - 9*j**5\/10 - 133*j**3\/6 - 3*j**2 + 8. Let z(f) be the first derivative of t(f). Let z(h) = 0. Calculate h.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39.6*3626.\nAnswer: 143589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -147*a**4 - 15372*a**3 - 8748*a**2 - 1248*a = 0.\nAnswer: -104, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -14\/9  (b) -31  (c) -0.29  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*u - 2174 + 434 - 2180 = 93*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**4 - t**3 - t**3 + 2*t**2 + 34*t**2 - 11*t**2 - t + 28*t**2 to the form d*t**3 + l*t**2 + a + x*t**4 + p*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -15. Let m = 26\/67 + -204\/871. Which is the nearest to 0.1?  (a) m  (b) f  (c) -1\/2  (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 117*v + 1864. Let o be z(-19). Solve t - 3*h + 5 = 0, o*t = 10*h - 15*h + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97 + 685\/7. Let s(w) = w**3 + 2*w**2 - 2*w - 3. Let h be s(-2). Which is the nearest to h?  (a) o  (b) -0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(450)*-2)\/sqrt(10))**2*-5.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 17, 2, 5.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1108219 is divided by 2022.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 1654 - 5071 = 0. Is 67 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**4 + 13*i**3 + 30*i**2 - 244*i + 280 = 0. Calculate i.\nAnswer: -5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3300 + -3235. Solve 3*m + 68 = 2*p + y, 3 = 4*p - 5*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*t - 32. Let b = -6 + t. Calculate the smallest common multiple of b and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2329*w - 32561. Give k(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of 37*g**6\/120 + g**5\/30 - g**4\/24 - 3*g**2. What is the remainder when c(1) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5 - 7. Suppose 0*d + m = -d. Let v be (-9)\/(-18) + 2\/d. Which is greater: 1.4 or v?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 - 468\/111 - -1 and -49\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104) + sqrt(104)*-1)*-3 + -5*sqrt(104)*2)*-2)\/((-3*sqrt(88)*2 - sqrt(88))\/(sqrt(88)\/(sqrt(200) + sqrt(8)))).\nAnswer: -10*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -156 (base 10) in base 6?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 + -114. Let c = w - -57.8. What is the third biggest value in c, 1, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.17 + 0.17. Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7643, 4, -133, -5, 8 in decreasing order.\nAnswer: 7643, 8, 4, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (24\/(-18))\/(4\/(-6)). Suppose 263 = 4*g - n, -3*g + 126 = -w*n - 65. Let u(v) = -g - 67 + 143 - 10*v**2. Let c(m) = m**2 - 1. Give -36*c(y) - 4*u(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5271.\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 + 143662744*b - 1289936500850596.\nAnswer: -4*(b - 17957843)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 108033 in decreasing order.\nAnswer: 108033, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -450*s**3 - 137040*s**2 - 72992*s - 9728 = 0. Calculate s.\nAnswer: -304, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 118 = r, -5*u + 2*r + 160 = 39. Let a be (-1 - 3\/(-5))*(-17 + 27). Calculate the remainder when u is divided by (-3)\/a*22\/33*18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -132 + 130. Sort r, 1, 4, 5.\nAnswer: r, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1108 - 1099. Let l(v) = -v**3 - 3*v**2 + v - 4. Let d(j) = -2*j**3 - 7*j**2 + j - 9. Determine w*l(p) - 4*d(p).\nAnswer: -p**3 + p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 59479d + -7?\nAnswer: 594796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 17, 52, 83, 110, 133, 152?\n\"Answer: -2*o**2 + 41*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 181*y**2 + 158*y**2 + 176*y**2 - 480*y**2 + 22200 - 77710*y = 0?\nAnswer: 2\/7, 2220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/11 - 830*b\/11 - 5712\/11.\nAnswer: -2*(b + 7)*(b + 408)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 17*x + 530. What is g(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 + 3*b**2 - 2. Let y be d(-1). Let o(v) = 3*v**2 - 4*v**2 + y - v**3 - v**2 + 6*v. Let z be 2\/(-10) + (-38)\/10. Calculate o(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 476166673 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 19. Sort -1, m, 1 in ascending order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5849341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddx. What is prob of sequence dx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 4*u**2 - 2*u + 2. Let x be r(-4). What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -83879, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 5*z - 7. Let a be c(3). Suppose -o - 2*x + 0*x = -139, -5*x = -5*o + 740. Suppose -a*t = -13*t + o. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000633 (base 9) in base 6?\nAnswer: -15222433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -264193*k**2 + 1664443*k**2 - 42189*k**2.\nAnswer: 1358061*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p + 14 - 2*p**2 + 3*p**2 + 4*p - 15*p. Let h be a(11). Suppose h*g + 242 = 5*k, -3*k + 3*g = -57 - 87. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-4\/3)\/s)\/s**(1\/10))**(2\/35))**33 assuming s is positive.\nAnswer: s**(-803\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 46 = -0. Suppose 3*q = 5*i + 122 - 34, 5*i + y = q. Suppose -j = 2*g - 2*j - q, 0 = 3*g - j - 32. What is the remainder when 32 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (30\/25)\/((-2)\/5). What is the closest to -0.1 in 1\/6, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 92268.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 760158 and 63.\nAnswer: 760158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*b**4 - 4*b**2*z**2 + 26*z**2 wrt b.\nAnswer: 8*b**3 - 8*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/15 + (-19926)\/(-270) + -58?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**2 + 2*n**5 - n**2 + (-2*n - 3*n**2 - n**2 - 2*n**2)*(2*n**3 + n**3 + 0*n**3 + 3*n**3 + 3*n**3 - 4*n**3 + (5 + 0 - 3)*(-5*n**3 + 3*n**3 + 3*n**3)).\nAnswer: -40*n**5 - 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95154?\nAnswer: 2, 3, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*w = -20, -4*d - w - 417 = -412. Which is the closest to d?  (a) 56  (b) -1\/5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-116*i - i - 27*i - 6*i)*(-2*i + 2*i + 2*i).\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 281941981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.421453um in nanometers?\nAnswer: 7421.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.068210892 and 5.\nAnswer: -0.34105446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -374231*m**2 + 741807*m**2 + m**3 - 367576*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2*r + 6, -3*y - 5*r + 4*r - 15 = 0. Let f be (-34)\/(-8) + 3*10\/y. What is the nearest to 0 in 3, 10, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5627*l**2 - 14*l - 24. Let y(o) = -2814*o**2 - 8*o - 14. Give -4*b(w) + 7*y(w).\nAnswer: 2810*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-23 - -6 - 1) + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 9:11 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -0.1, -1, -2, 0.1, -0.295.\nAnswer: -2, -1, -0.295, -0.1, 0.1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 0 - 22137\/(-6) - 14\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287 + l**3 + 16*l**2 + 287 - 16*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3710*a - 538. List the prime factors of m(-3).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72340?\nAnswer: 2, 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-144)\/(-4200)*25*6\/((-72)\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165084 is divided by 1232.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/108*12\/8 - 88\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -57077 or -56645?\nAnswer: -57077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 202, 404, 606, 808?\n\"Answer: 202*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3347 less than -3343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 6.2  (b) 3\/2  (c) -0.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 153787 (base 9) in base 13?\nAnswer: 34138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -1\/7, 0.5, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 29 = -4*w + 6*d, w - 1 = -2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -753*i**3*z**3 - 1523*i**2*z**3 - 2*i*z**2 + 2*i wrt i.\nAnswer: -4518*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33\/5*y + 46\/5*y**2 + 9\/5*y**4 + 9\/5 + 6*y**3 + 1\/5*y**5.\nAnswer: (y + 1)**3*(y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6494 a factor of 1295955560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.2, 2069, 20, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 3, 10, 5 in decreasing order.\nAnswer: 10, 5, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 7476.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -16*j**4 - 7129696*j**3 + 99819116*j**2 + 105166380*j + 26737200 = 0.\nAnswer: -445620, -1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 318310 and 2502?\nAnswer: 2864790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237657 is divided by 510.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -164*c - 6 - 3 + 22 + 56 + 97 wrt c?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*-1 - sqrt(171) - sqrt(171))*5)\/((sqrt(27)\/sqrt(3) - sqrt(9))*5 - sqrt(9))*-3.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 0*s**2 + 1\/15*s**3 - s + 0 - 1\/60*s**4. Factor a(n).\nAnswer: -n*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 3. Suppose -n = -3*w + 10 - p, -4*n - w + 37 = 0. Suppose 3*u + 285 = 4*k, -2*u = -k - 6*u + 76. What is the greatest common divisor of n and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of 0*y**3 + 0*y - 1\/14*y**4 + 1\/7*y**2 - 3. Let o(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.5 + -19.5. What is the second biggest value in 1\/6, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8862 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*b - 4 - 6, 0 = 3*b - 2*w - 13. Let m = 0 + 4. Suppose 0*l - 13 = -m*q - b*l, 0 = -3*q + 2*l + 31. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4387 - 5*a**2 + 7*a**2 - 4810 as f + m*a + n*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1077 is divided by 99?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25938 and 14148.\nAnswer: 155628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + -3.6. Let p = 0.6 - y. Let v = -2 - -7. What is the smallest value in p, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 94970, 189939, 284908?\n\"Answer: 94969*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -10, -2*x - 52 - 234 = -4*n. What is the remainder when 258 is divided by n?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4235) - sqrt(4235)*-2 - sqrt(4235) - sqrt(35))\/(sqrt(21)\/sqrt(3)*3) + (-1*(sqrt(720) + 0) - (sqrt(720) + 1 + sqrt(720) + -3))**2 + 0.\nAnswer: -137*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 5 - 8)*((-3*g - g**2 + 3*g)*(1 - 1 + 1) - g**2 - 3*g**2 + g**2).\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 113065 or 111946?\nAnswer: 113065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 38*i + 13. Let l(m) = 12*m + 4. Determine -4*h(q) + 14*l(q).\nAnswer: 16*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -24938.023 rounded to the nearest 10?\nAnswer: -24940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29470763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/6*(-9)\/(-6). Suppose 5*z = 185 - 45. Suppose -z = 4*m + 24. Sort b, m, 3.\nAnswer: m, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 444 and 449944?\nAnswer: 49943784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 178?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 6 = -k. What is x in -16*x**2 - 2 + x**3 - 14*x**3 - 11*x + 6*x**k = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-10))\/((-10)\/(-4580))*-5. Suppose -239 = -5*w - z. Let y(o) = o**2 + 3*o - 1. What is y(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((-5)\/(-15))\/(10\/33)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1050003 and 3915.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 8*h + 2439. What is the remainder when k(-13) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -79.\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 266, 2141, 7242, 17183, 33578, 58041, 92186?\nAnswer: 137627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - (-1 - 0\/(-2))) + -1. Solve 34 = -4*u - u - 3*c, -z = u - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50927 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 827 divide 45377490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -1740*v - 10461. What is q(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzvvaaatvaazvfvrv. What is prob of sequence fza?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 619 a factor of 4990997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15538584.\nAnswer: 2, 3, 647441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (246\/(-24) - 1)\/((-2)\/8). Let g = s + -34. Find the third derivative of -311*v**5 + 311*v**5 + 2*v**2 - g*v**6 wrt v.\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/6*72\/60. Suppose 4*l - 72 = -2*q, 0 = 3*q - 0*l - k*l - 68. Suppose 7*w = 27*w - 2340. What is the greatest common divisor of q and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from pstbpssswbtp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3767 at least as big as 64030\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 673382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 58392510.\nAnswer: 58392510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 7*r - 3. Let m be v(-6). What is the second derivative of 2 + 13*k - 18*k**3 - 18*k**3 + 0*k**m wrt k?\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = 83*j + 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*sqrt(112)\/sqrt(2) - sqrt(56))\/(-1*sqrt(1152)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.6818 - -1.6827139. Round w to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/12 + 181\/2. Let p = -75 + n. Suppose 3*u = p + 170. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q**(-5))\/q)\/(q**3*q*q)*q**(4\/5)\/q**(2\/15))**37)**19 assuming q is positive.\nAnswer: q**(-19684\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -339*h*m*v**2 + h*m*v + h*v**2 - m*v**2 + 275*m wrt v?\nAnswer: -678*h*m + 2*h - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5*f**3 + f**2 - 3*f + 3. Suppose -5*i + 13 = 3. Calculate the remainder when k(i) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4243*a + 4230*a = 91 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -4*r - 36. Calculate y(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 847285589\/3401173412 - 74\/827939. Let g = s - -1\/1027. Factor -4*f**3 - g - 5\/4*f**4 - 9\/2*f**2 - 2*f.\nAnswer: -(f + 1)**3*(5*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11574446.\nAnswer: 2, 13, 367, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 4*q - 3, 0*q - 4*q = 0. Suppose -m*c = u + 16, -4*u - 9 = 5*c - 4*c. Which is smaller: 27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*((-10)\/3 - -4). Suppose 8*y - 3*y = 10. Let u = 6 - y. Sort u, 1, i in increasing order.\nAnswer: 1, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -24 + 24 - 10*k**2 - 2*k**2 + k**2 + 5*k**2 + (-2 + 2 + k)*(4*k + 4*k - 4*k) - 3*k + 3*k + k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -4, 825, 4, 27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18743716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.09 - -0.31. Let u = 4 + -4. Suppose u = 4*j + 16, 12 = -3*f + 2*f - 3*j. What is the nearest to f in 1, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -61  (b) -48  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*s**2 - 7*s**2 + 4*s**4 + 2*s**4 - 3*s**4 - s**4 + (0 - 2*s**2 + 0)*(3*s**2 - 5*s**2 + 0*s**2) + 2*s**4 - 3*s**4 + 3*s**4.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*c + 7*c + 14*c + 5402*c**2 - 2*c**3.\nAnswer: -2*c**3 + 5402*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2101*m**3 + 746*m**3 + 745*m**3 + 1044*m**3.\nAnswer: 4636*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 36, -10, -3 in ascending order.\nAnswer: -10, -3, -2, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 64 + -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trttttggrtgtgttg. Give prob of picking 1 r and 1 t.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1159900158 != -1159900158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 + 4*x - 1 + 0*x - x. Let g be u(2). Let w = g - 9. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4 = l, 2*m + l + 7 = -1. Let c be (-10)\/(1\/m*1). Solve 4*y + 2*s + 12 = 0, 3*s + s = 3*y + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5956, 13097, 20238, 27379, 34520?\nAnswer: 41661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -3, -2, 2568, -8, 1 in decreasing order.\nAnswer: 2568, 1, -2, -3, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 + 10. Let j = 32.8 + h. Let z = j + 4.1999954. Round z to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2634093 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131406.2 millilitres to litres.\nAnswer: 131.4062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-12)\/(-9) + -2)*-6. Suppose f*k + k + 15 = 0. Let c be (-2)\/(k\/15*2). Sort -3, c, 2.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-3*(sqrt(272) + -2).\nAnswer: -48*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((70\/(-12))\/7)\/((-140)\/14)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -5*a**8\/336 - a**7\/105 + a**6\/24 + a**5\/30 - 24*a**2. Determine b so that g(b) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 119?  (a) 2\/9  (b) 2  (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.4 * 4736521.\nAnswer: 6631129.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - v - 8 = r, -5*r + 14 = -3*v. Suppose 3*j - i = 0, -5*j = -4*i + 8 - r. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6*9\/18 + (-42 - 2). Suppose 4*b - 162 = -2*y, -2*y - 86 = -2*b + 2*y. Let l = s + b. Sort -3, 4, -11, l in decreasing order.\nAnswer: 4, l, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 4:05 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 0.3  (b) 1  (c) -2\/13  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 488 + -480. Suppose o*g - 137 + 57 = 0. Solve 0 = g*a + 3 - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 9:01 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219 = -56*f + 55*f + 5*p, 0 = f + 2*p - 205. Calculate the least common multiple of 209 and f.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 1:40 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18.7 - -19.7. Which is the nearest to 0.5?  (a) -1  (b) n  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 0 + 56 + 59*g**2 - 56. Let j(d) = -d. Give u(j(t)).\nAnswer: 59*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -212202 - 1?\nAnswer: -212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f - 1. Let l be i(4). Let v(d) = d - 3. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -677, -5, 0, 2 in descending order.\nAnswer: 2, 0, -5, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -33212 (base 4) to base 7\nAnswer: -2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 2 - 1, -u = v - 16. Suppose -2*b = b - v. Suppose -b = f, m + f = 4*f + 20. Solve -20 = -p - m*y, -2*p - 7*y = -2*y - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2621 greater than or equal to 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -515\/3 + 170. Let s = 0.6455 + -0.1455. What is the closest to -1\/4 in -0.3, s, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*y - 3. Suppose -j = 2*j - 30. What is the remainder when j is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 48 = 2*r. Let k = 62 + -72.1. Let y = -10.6 - k. Which is the third smallest value?  (a) y  (b) -0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26\/3 + -9. Let g(o) = -o**2 - 8*o - 6. Let d be g(-7). Let u be 106\/34 - 2 - d. What is the closest to -1 in 3, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.8172499km?\nAnswer: 81724.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 10:34 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8910 + -24b?\nAnswer: -8b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*o - 30 = 0, 5*r + 4 = 3*o + 23. Suppose z - 5*i + 2 = -3, -5*i = 5*z - r. Factor -15\/4*u**4 - 3\/2*u**5 - 3\/4*u**2 + 0 - 3*u**3 + z*u.\nAnswer: -3*u**2*(u + 1)**2*(2*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82 + 33079*a**2 - 33079*a**2 + 5*a**3 + 82.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/1*2\/((-16)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**4 - 4*x**3 + x**4 + 0*x + 2*x in the form v*x**4 + h*x + q*x**2 + j + z*x**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*y, 3*p + 5*y - 23 = p. Let d be (-2)\/2 - 6\/(-10). What is the nearest to d in 1\/2, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 - -73. Factor r - 2*r + 4*r**2 - 2*r**c + 3*r**4 + 9*r - 4*r**4.\nAnswer: -r*(r - 2)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511686 is divided by 181.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 122*x + 955. Is u(47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*f**5 - 1551*f**4 + 1230*f**3 + 22180*f**2 - 27336*f - 18144 = 0. What is f?\nAnswer: -54, -4, -14\/29, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + n = -3, -2*a - 2*a - 3*n = -26. Let k = -443 + 446. Let m be (2 + 1)*(-16)\/(-6). Solve -k*q - m = -a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k**3 - 4*k**3 + 2*k**3)*(4414 - 535*k - 4414).\nAnswer: -2140*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 14 = 2*g - 4*w, 0 = 3*g - w - 22. Let i be (9\/(-15))\/(3\/(-45)). Suppose -2*k = -5 - i. Is k > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 11*j = 2. Let g = j + 5. Let z(k) = k**3 - 4*k**2 + 4. What is the least common multiple of 1 and z(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.977245 litres to millilitres.\nAnswer: 8977.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -870, -1977, -3086, -4197, -5310, -6425, -7542?\nAnswer: -8661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1965\/20*(-4)\/104. Let d = -54\/13 - p. Let g be 2\/(5 + (-2)\/1). Which is the biggest value?  (a) -2  (b) d  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10110 + -10311310200?\nAnswer: -10311300030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/50 and -63\/4000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 129 + 27. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -327483 or -327440?\nAnswer: -327440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.4  (c) 82\/35  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2724822*52.\nAnswer: -141690744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.53428 rounded to one decimal place?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -1\/13  (b) 0.5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -87?  (a) 1\/3  (b) 4  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 3*p + 3*p)*(-3 - 20 + 4).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39*(-8)\/(-32))\/(216\/(-192)))\/((-36)\/6).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2871 - 23*u**3 - 2871 + 69*u**3.\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 14*c + 213 = -15, c = -3*h + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/11)\/s**(-45))\/(s*s**(-5\/4))**23 assuming s is positive.\nAnswer: s**(2221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 155723 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12186283167 - 3*h**3 + 12186283167.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-495)\/297)\/(2\/30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(55) - sqrt(605)\/sqrt(11))\/sqrt(11))**2 + sqrt(5) - sqrt(30)\/(sqrt(54)\/sqrt(324)).\nAnswer: -5*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -87670.78 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2923 = -25*b - 2948 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 f, and 1 r when three letters picked without replacement from {r: 2, f: 1, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6772 - 6771.9. Is h at least as big as -5486\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**5 - 5061654*r**4 + 2*r**2 - 1749492.\nAnswer: 60*r**2 - 121479696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p - 13*p + y - 80 = -3*y - 0*y, -p - 4*y = 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-23)\/(-6))\/((-68)\/51). Put f, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, e: 1, p: 4, r: 1, a: 8}. What is prob of sequence perf?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/9, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oyo when three letters picked without replacement from yooyoy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27575 + 34736. Does 273 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q + 49 - 889 = 0. Let h = q + 440. Calculate the greatest common factor of h and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 15*j. Let f(g) = 209*g. Let l(o) = 4*f(o) - 55*y(o). Let k(d) = -6*d**2. Give k(l(b)).\nAnswer: -726*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 451, -8, 56, 0, 0.4 in descending order.\nAnswer: 451, 56, 0.5, 0.4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 661619 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2501, -2500, -2499, -2498, -2497?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/7  (b) 4  (c) -6\/11  (d) 14\/2167  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*x**3 - 8*x**3 - 7*x**3 + (0*x**3 + x**3 + 0*x**3)*(-1 + 3 - 4) in the form n*x**3 + z + m*x**2 + l*x and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/3)\/(4\/12). Let v be 0\/5 + 1*z. Which is the closest to -0.1?  (a) v  (b) 1\/10  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 2*u = 4*u + 18, -3*h - u + 1 = 0. Solve -h*r + 9 = n, -24 = -5*r - 2*n + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157243, 314825, 472745, 630997, 789575, 948473, 1107685?\nAnswer: 1267205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 25920 divided by 6480\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 234276807 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 5*s + 4*s - 3 - s**3 to the form t + i*s**2 + j*s**3 + x*s and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.67 - -38.16. Round t to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-100)\/(-8))\/5*2. Suppose -b = n + 1. Let m(w) = 7*w - 5. Let s(q) = 6*q - 4. Suppose -35 = -5*u - 10. Determine n*s(l) + u*m(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -78*b**3 + 218*b**3 - 142*b**3 = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3098694713 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**3 - 524*v**2 - 6648*v - 11232 = 0. What is v?\nAnswer: -117, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 351*s - 480. What are the prime factors of f(188)?\nAnswer: 2, 3, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -28237480?\nAnswer: -28237477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69082 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16755858?\nAnswer: 2, 3, 7, 71, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 15 - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from dsdikoe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.95 - -1. What is the third biggest value in -1\/4, s, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 37 = 5*o, 2*b + 4*o = -b - 28. Let s(u) = 3*u - 25. Let k(y) = 2*y - 17. Let a(q) = b*k(q) + 5*s(q). Let i be 0\/((4 - -4)\/(-4)). Give a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 9:18 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 7*m**2 - 1 - m - 28*m**2.\nAnswer: -35*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 274 = -4*u + 46, -4*f + 338 = -5*u. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*50\/30 + (-5 - 68\/(-12)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 2*d + 19, -19*o + 14*o - 2*d - 25 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 76\/5. Let n be -102*(70\/(-15))\/(-7). Let t = n - -69. Which is the third smallest value?  (a) t  (b) z  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8932 and -267.\nAnswer: -2384844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 3*d - 31. Suppose 3 = -5*m + d. What is the third derivative of 2*j**2 + 3*j**2 - 3*j**4 + j**m wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -11*t**6\/60 + 7*t**4\/8 + 15*t**2. What is the second derivative of k(o) wrt o?\nAnswer: -132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*w**2 - 27*w**2 + 10*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*x - 595*x + 2693 = -174*x - 13423 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**3 - 14*k**2 + 3. Let l be ((-180)\/100)\/((-6)\/20). Let r be h(l). Calculate the highest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**2 + 14*v - 4. Let b be f(-8). What is the greatest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5*((-90)\/(-925))\/9. Let w = 1\/253 - -250\/759. Which is the third smallest value?  (a) 1  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -371 = -56*m + 137 - 4 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -578, -2152, -15, -4.\nAnswer: -2152, -578, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, -35, -116, -227, -368, -539?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -9*l**2 + 227 - l**3 + 6*l - 196 - 4*l**2. Calculate the remainder when x(-14) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttvq. What is prob of picking 1 v and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -117\/7 - -17. Let o(t) = 3*t**3 - 2*t**2 + 1. Let d be o(1). Let j be (0 - 39\/60) + 2\/5. Which is the nearest to d?  (a) j  (b) z  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/2)\/o)\/(o\/(o\/o**(-2\/9)))*((o*o**(-2))\/o)**(-19))**(-2\/59) assuming o is positive.\nAnswer: o**(-679\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 592818*u**2 - 87858888096*u - 175715404928.\nAnswer: -(u + 2)*(u + 296408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -53109*b + 53113*b + 44, 63 = -4*z - 3*b for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 0.1, 83, 0.4, 5\/2.\nAnswer: 0.1, 0.3, 0.4, 5\/2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -6*t**2. Let l(u) be the second derivative of -97*u**3\/6 - 7*u + 1. Determine n(l(b)).\nAnswer: -56454*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/3, -5, 4, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 752, 6397, 21802, 51839, 101380, 175297, 278462?\n\"Answer: 812*a**3 + 8*a**2 - 63*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - m + 27. Let k be o(0). Suppose 0*a = -a + 7. Suppose 0 = -24*g + 116 - 20. Solve -g*w + a - k = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1669 divide 8665717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64 + 38. Let h be 2\/5 + n\/(-10). Let c(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 2*v**2 + 2*v. Calculate c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w - 659. Determine p(-51).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 954 * 53.6\nAnswer: 51134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.1, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -17. Let l(h) = h**2 + 6*h + 5. Let g be l(d). Let f be (-23 - g)*2\/4. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v**3 + 181*v**2 + 2860*v + 7056. Let i(d) = -d**2 - d. Let y(k) = 4*i(k) + n(k). Suppose y(p) = 0. What is p?\nAnswer: -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1220080, 1220060, 1220040, 1220020?\nAnswer: 1220000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-2*(sqrt(162) + 2 + sqrt(8)\/sqrt(100)).\nAnswer: 4 + 92*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (-1 - 0)\/3. Suppose -3*y - 139 = -178. Let c be (-135)\/24 - -6 - y\/(-8). Are c and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 15 = -w, -j + 2 + 3 = -w. Let y(s) = -2*s + 10. Let i be y(j). Sort -1, 2, i in descending order.\nAnswer: 2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*j + 85*j - 43*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, 19, -20 in descending order.\nAnswer: 19, 1\/8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6\/4 + 7\/2*8757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23172, 46342, 69512?\nAnswer: 92682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.14 + -0.14. What is the nearest to g in -0.78, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 47161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196 is divided by 98.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 14, k: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/13  (b) 1633  (c) -74  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5470 + 5491. Let n(d) = 6*d**2 - 1. Let s be n(-1). Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**2 - 125*z\/3 + 14 = 0 for z.\nAnswer: -42, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/4005 and 31\/3.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**4\/4 + 2*p**3 + 3*p**2\/2 - p - 2. Is g(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - 0)*(0 + 0). Suppose 2*l + 2*l = a. Suppose l = u - 1 - 2. Solve 4*w = -4*j, -w = u*w + 2*j + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 27*g - 88. Let c(a) = -9*a + 33. Let x(q) = 8*c(q) + 3*d(q). Let j(i) be the third derivative of i**5\/4 + 8*i**2. What is j(x(u))?\nAnswer: 1215*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4186 less than -13.457?\nAnswer: -4199.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.213 and -20120.1?\nAnswer: 24405.6813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 52*q + 127. Give j(56).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -1\/2  (c) -1294  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 6*p**2 + 4*p + 10. Let k be d(-7). Let a = -58 + k. Calculate the remainder when (126\/10)\/(a\/(-90)) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2215 + 34*l**2 - 2214 - 2203 + 6632.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*o - 10*o**3 + 17*o + (-2*o**2 + 4*o - 4*o)*(2 - o - 2) + (-48*o - 25*o + 41*o)*(-o**2 - 5*o**2 + o**2).\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - k + 4 = 0, -2*k = -4*k. Does 40 divide (-76 + 9\/(-3))\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 320 = -3*w, 0 = -4*w - 4 + 12. Is (1 + (4 - 2))*o\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 5, -1, 3 in descending order.\nAnswer: 16, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28\/3*-6*(-3)\/(-12). Let p be i\/(-7)*(-1)\/(-13). What is the nearest to -2\/7 in p, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-48)\/((-15)\/5) - 3. Suppose h = -q + 2*l + 31, 54 = 3*q + 2*l. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.6 in -3\/4, -0.4, -403, 0.1, 2\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 65 - 58. Let x(m) = 4*m**2 - 4*m - 9. Calculate the remainder when x(o) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 62*x - 61*x = 24, 4*w - 2*x - 72 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 - 53*x**2 + 3*x + 384. Determine z(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/10)\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -49.21404 to two dps.\nAnswer: -49.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 4*n = 39, -4128 + 4119 = 2*l + 5*n for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4*t**3 - 7*t**2 + 2*t. Let u(a) = -5*a**3 - 7*a**2 + 2*a - 1. Let y(o) = -6*g(o) + 5*u(o). Suppose 0*p - 2*p + 12 = 0. Is y(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-124)\/(-95) - (-1)\/((-38)\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8795165 - 21573*k + 8795165)*(-2*k + 3*k + 0*k).\nAnswer: -21573*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62010 = -11*h + 61680 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 365*y - 364*y - 22847 = 0. List the prime factors of y.\nAnswer: 11, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7268057?\nAnswer: 71, 102367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 25 = -p + 2, 0 = -5*p - 5*g - 15. Let a be p - (2 - -1 - 1). Suppose 4*r - 17 - 7 = a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(2\/9))\/(d*d**10))\/(d**30*d\/d**(1\/8)) assuming d is positive.\nAnswer: d**(-2855\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 425 divided by 85\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of -i**4\/12 - 5*i**3\/6 + 4*i**2 - i. What is the remainder when 2 is divided by d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, x: 1, l: 2, t: 8}. Give prob of picking 1 l and 1 t.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 + 13*z - 8. Let i be n(6). Let m(g) = 1. Let b(x) = -4*x - 2. Determine i*m(f) - b(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, g: 1, s: 2, v: 12, c: 3}. What is prob of sequence svcv?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -36*d. Let n be ((-2)\/6)\/(8\/24). What is the tens digit of o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3502652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 6422178?\nAnswer: -12844356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 2, -4550, -1, 5, -4, -2 in descending order.\nAnswer: 5, 2, -1, -2, -4, -14, -4550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25887646*c**3*m - 3*c**2*m + 321*c*m + 1248*c + 20*m wrt c?\nAnswer: 155325876*c*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h**2 + 29*h + 29. Let w be x(11). Let l be (-15)\/(-6)*(-12)\/w. Solve -l*v - 20 = -6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*3)*-5)\/(-1*sqrt(810) - sqrt(810)).\nAnswer: 10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand n + 3 - 3 + (3 - 1 + 0)*(2*n - 3*n - n) - 2*n - 4 + 4 + 2 + n - 2 + 521 - 521 - 20*n + (0 + 3 - 1)*(4*n - 2*n - 4*n) + n + 3*n - 5*n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3300, 3318, 3336?\n\"Answer: 18*g + 3282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 238891 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 1:52 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1895826*g**6 - 1535*g**2 + 371*g wrt g.\nAnswer: 227499120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 70*f**2 - 364*f - 1457. Give o(-4).\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2412142 - 30030?\nAnswer: 2332112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r**2 + 11*r + 18. Let x(a) = 5*a**2 + 6*a + 10. Give 4*s(w) - 7*x(w).\nAnswer: 5*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 5 - (-19 + 104 + -12)) + -1 + 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.115 minus 990?\nAnswer: -990.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 10)*(t**3 - 3*t**3 + t**3) + 3*t**3 - t**3 - 4*t**3 + 9*t - 3 - 22*t + t**2 - 16*t**3 + 15*t.\nAnswer: -26*t**3 + t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 306 + -212. Suppose m*s - 103*s + 1710 = 0. Does 38 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23100 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -426, -434, -480, -582, -758, -1026?\n\"Answer: -3*f**3 - f**2 + 16*f - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 150 + -110. Calculate the remainder when 118 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -310*r - 312*r + 916*r - 303*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4a3 - -3?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, 0.2, -0.11, -0.1, -61 in increasing order.\nAnswer: -61, -0.11, -0.1, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(792))\/(sqrt(32) - sqrt(64)\/sqrt(2) - sqrt(32)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2604959 divided by -372137?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a + 1350 = 16*a. Suppose -5*b + a = -0*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, 1, -1, 8, -27 in descending order.\nAnswer: 8, 1, -1, -27, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*b - 21 = b, -4*g - 2*b = -8. Let t = g - -1. Solve -m - t = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1234 + 3?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*h**3 + 9066808*h**2 - 51492912?\nAnswer: -12*h**2 + 18133616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 158*k**2 - k**3 - 158*k**2 - 78 to the form f*k + s*k**3 + p*k**2 + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 372, 2, -1539, 12 in decreasing order.\nAnswer: 372, 12, 2, -1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.14 + -0.04. Let y = 0 + d. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1  (b) 32660  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 7*m**2 - m - 3. Let f be a(-7). Let x be 2\/(-2) - (-42)\/f. Let y = -9 + x. Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - 2) + (56 - (122 + -5))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-57 + 11 - -8).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1340 + -1?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 9:55 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18963, -37900, -56811, -75696?\nAnswer: -94555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2750406 is divided by 1785?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14735155373 - 2*a**3 + 14735155373.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(-2)\/(-6)*-69. Let v = w + -21. Suppose 0 = -5*x - v*j + 136 + 101, 5*j = x - 69. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15435059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2\/9, 0.3, 14058, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -385*n**4 + 8*n**2 + 2*n**2 + 377*n**4 + (-2*n**2 + n**2 + 0*n**2)*(3 - 3 - 2*n**2).\nAnswer: -6*n**4 + 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1689 divided by -1689\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180)*1*-6)\/sqrt(3))\/(3*1*sqrt(192)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/63)\/((-30)\/(-27)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4117413218.\nAnswer: 2, 23, 89508983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/2052 and 31\/32.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, k: 1, w: 1, r: 1}. Give prob of picking 1 k and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 4)*(-1 + 22*l + 71*l - 8*l) to the form g*l + y and give g.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*s - 14752 = -16660 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h*(h**(-3)*h)\/h*h*h*h**(1\/10) assuming h is positive.\nAnswer: h**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6*(-5)\/((-30)\/33). Let q = h - -15. What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-5)\/(-9)*(-12)\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -4, -7, 7739?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -61 - 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y - 35. Let j be z(0). Let v = 99 + j. What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(126) + sqrt(126))\/sqrt(6) + 6*sqrt(21)*2)\/(sqrt(6)\/((sqrt(2)*3 + sqrt(2))*-3)))**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.23203 - 665.\nAnswer: -665.23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 40*c. Let m(r) be the second derivative of 43*r**3\/6 + 3258*r. Give m(t(i)).\nAnswer: 1720*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((70\/7)\/(-540))\/((-4)\/(-12))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 340985220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54 + 58.3. Let t = g - 0.3. Let j be (-457)\/1828*(-2)\/(-1). What is the nearest to j in -3, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144, 386, 1168, 2118, 3152, 4186, 5136?\nAnswer: 5918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179 - 80251753.\nAnswer: -80251574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**2 - 2*g**5 + 2*g**2 - 3*g**5 + 0*g**5 + 5*g**5 + (-g + g - 2*g**2)*(-3*g - 2*g**3 + 3*g) + g**5 - 2*g**3 + 2*g**3 + g**3 + g**5 + g**3 + 0*g**5.\nAnswer: 6*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1708 is divided by 1440\/1728 - (-6818)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -69 - -119. Calculate the remainder when j is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 96537773.2.\nAnswer: 96537778.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1 + 3 - -3) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - 2.1. Let u = 32.8 + -28.8. Let p = 0.02 - -2.98. What is the nearest to s in p, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*((-2*o - 2*o + 6*o)*(-1 - 1 + 0) + 0*o + 5*o - 4*o - 2*o - o + o + 3*o - 2*o + 0*o)*(-43 + 62 + 39).\nAnswer: -232*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 161*u - 1212. What is q(9)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(4\/3))\/(s**0\/s))**(-16\/9) assuming s is positive.\nAnswer: s**(-32\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggyyggggygyggy?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f + f - 13 = -5*v, -2 = -f + 5*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80 - 183. Let j = 205 + r. Let l = 168 - j. What is the highest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6520 and 6520.\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -39082 bigger than -977046\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 930951 by -930951.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -2*b + 101 - 12, -2*b + 116 = -4*c. Let f = -31 + b. Calculate the remainder when 81 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2455708433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7426186 + -1718194. Suppose -2*i + i = z - 1427004, -4*z + 2*i = -g. Round z to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1704, -1693, -1682, -1671?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.13, 54, 2, -1\/4 in ascending order.\nAnswer: -1\/4, 0.13, 2, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5))**(4\/11)*(m*(((m\/(m\/m**(-1\/4)))\/m)\/m)\/m)\/m**(-4) assuming m is positive.\nAnswer: m**(353\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*g**3 + 29775*g**2 - 149295*g + 119500 = 0. What is g?\nAnswer: -5975\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence krk when three letters picked without replacement from {r: 5, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**2 + 4*p + 2. Let h(i) = i + 1. Suppose 14 = 6*n - 14*n - 18. Calculate n*h(s) + w(s).\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 2*d**7\/21 + 5*d**3\/6 - 2*d. What is the second derivative of g(f) wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/3)*((c*c*c**(2\/3))\/c)\/c)\/(c**(-1\/3)\/c**2) assuming c is positive.\nAnswer: c**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6269*i - 1162 = 6352*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of n**7\/70 - n**6\/15 + 523*n**5\/60 + 333*n**2. What is the third derivative of i(u) wrt u?\nAnswer: 72*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14159.963 + -13981.9629625. Let h = 178 - w. What is h rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**6\/6 + 2*n**2 - 5*n. Find the first derivative of g(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242199 is divided by 349?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 4085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 10*d - 7. Let p be w(-11). Suppose 0*k + 5*l = -p*k + 12, 32 = 3*k - 2*l. What is the least common multiple of 86 and k?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 3*o**2 + o + 1. Let y be j(2). Let d = 11 + y. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*j + 12*j + 50. Calculate the common denominator of (-14)\/j + (-5424)\/(-12960) and 35\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/7 and (24\/(-14))\/((-9 - 0) + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102945.42 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 39 - 47*h - 29 - 32*h - 11.\nAnswer: -79*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*h + 136 = 5*z - 50*h, -3*z = -3*h - 72. Solve 236*x = 243*x + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/2790 and -107\/682.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*y + 22*y + 22*y - 83*y + 21*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 91441?  (a) 0.2  (b) 45  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f*x**4 + 5*f*x**2 - 5*f*x - 3839*x**6 + 7*x - 4 wrt x.\nAnswer: -48*f*x - 460680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from 31.82.\nAnswer: 32.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -337*i**2 + 13*i - 20 wrt i?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -w - 4 + 2, -14*w + 3*s - 28 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/35 + (-126 - 5208545\/(-40600)).\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6240823 (base 9) to base 8.\nAnswer: -14557031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7817 - 7817.1. Put o, 1, -204 in ascending order.\nAnswer: -204, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 + 838*i\/5 + 15892\/5.\nAnswer: 2*(i + 29)*(5*i + 274)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 4:16 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence caaa when four letters picked without replacement from {m: 3, c: 1, a: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.8 - 260.8. Is o equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**3 - 2*s**2 + 2*s**2)*(-4 + 3 + 0) + 4 + 3*s**3 - 4.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -162062 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - ((sqrt(104) + -3*sqrt(104))*5 - sqrt(104))) + sqrt(104))\/sqrt(2) + 2*((sqrt(13) - (-2*sqrt(65))\/sqrt(5)) + -2*sqrt(13)*5)**2.\nAnswer: 26*sqrt(13) + 1274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*a + 2*a - 423, -263 = -3*a - 4*w. Factor -14*g**3 - 30 + 72*g**3 - 5*g**4 - 85*g**2 - 23*g**3 + a*g.\nAnswer: -5*(g - 3)*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2 + 50*l - 298. Let a be m(-30). Solve a*h - 4*h + 10 = 2*n, -n + 9 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 11:45 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 5*m - 1. Let t(x) = -2*x**2 + 11*x + 4. Let i be t(5). Suppose 4*f = 29 - i. Is l(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17176 = 45*r - 87*r + 452*r + 12344 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 500 + 3?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(25)*-3)\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -39*h + 34*h - 2*i, 5*h - 4*i + 14 = 0. Let l be (-2)\/(-3) + 32\/(-36). What is the third smallest value in h, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -42474, -43260, -44084, -44964, -45918?\n\"Answer: -3*a**3 - a**2 - 762*a - 41708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 - 2 + 5)*(-2 + 4 - 4) + 2 + 1 - 1)*(10*k**2 - 4*k**2 - k**2)*(-4 + 3 + 0) as c*k**2 + p*k + n and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 66*p**2 - 718*p + 70. Give y(14).\nAnswer: 2954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d + 0*d + d)*(-4*d**2 + 3*d**2 + 3*d**2 + (0 + 2 - 1)*(-41*d**2 + 17*d**2 + 25*d**2)) as t*d + w*d**3 + u*d**2 + n and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-42))\/((-125)\/29175) + 16\/(-5).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 - -22. Let t = 10.9 + z. Let f = -0.4 + t. Put 0.3, f, -1\/4 in descending order.\nAnswer: f, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(288)*-1 - sqrt(288)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36704 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -584a (base 12) to base 4.\nAnswer: -2121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2.6*-0.3\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 224827 and 65322.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(132)\/(-4*sqrt(48)\/sqrt(4)))**2.\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 7. Let c be l(-7). What is the nearest to -1\/2 in 4, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 1482?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-4) - 15\/(-20). Let r(l) = l**2 + 1. Let g(z) = 15*z**3 - 5*z**2 + 5. Let d(m) = b*g(m) - 5*r(m). Find the third derivative of d(k) wrt k.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -8) + -3 + 1. Factor -16\/7*b - 8\/7 - 2\/7*b**g - 10\/7*b**2.\nAnswer: -2*(b + 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26\/41 - 1198\/697. Calculate the common denominator of i and -4\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -a**7\/5040 - a**6\/1440 - a**4\/3 - a. Let m(z) be the third derivative of r(z). Suppose m(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 9*y = 2*o - 282, -2*o - 3*y + 286 = 0. What is the remainder when o is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 3*h + 3*r, 172*h - 170*h + 3*r = 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3054 - -3054.04918. Let v = -2 - -1.95. Let f = v + l. Round f to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - n - 15 = -3*n, -2*n - 110 = 4*p. Let d be 36\/15 - (-10)\/p. Differentiate -8 + 16 - 18 - 25*i**d with respect to i.\nAnswer: -50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4360, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of l**2 + 2. Suppose 0 = 3*x + x + 12, -3*u + 3 = 3*x. Let p(z) = 2*z - u*z + z. Calculate f(p(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2 + (-1*sqrt(60)*4)\/((sqrt(150)\/(sqrt(9)\/sqrt(3)))\/sqrt(10)).\nAnswer: -8*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5 + 9 + (0 - 2). Suppose -l = 2*h - 13, -l + 5*h + 32 = -o. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r - 89. Calculate b(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/3)\/(21\/28*10\/(-30))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*s + 65*s + 880 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/7  (b) 1093  (c) -160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-56))\/((-15)\/30).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 3*x - 6, 0 = -4*i - 3*x + 50. Suppose 0*u + 20 = u. Calculate the remainder when u is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -14*d**2 - 33*d**2 + 1 + 2*d**2 - 2. Let x(a) = -2*a. Give m(x(j)).\nAnswer: -180*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1421, -177, 3, 4 in ascending order.\nAnswer: -177, 3, 4, 1421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-822)\/(-1233) - (1 - 7\/19). Which is the nearest to 1\/2?  (a) 1\/10  (b) i  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 138. Let a be (-1)\/4 - t\/4. Suppose -2*k - 2*m + a = -k, -4*k = m - 85. Calculate the lowest common multiple of k and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 164 + 145507?\nAnswer: 145670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 6*p**3 - 132*p**2 + 5*p - 109. Determine x(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + 1. Let g(l) = -7*l + 274. Let q(m) = -11*m + 410. Let p(k) = 7*g(k) - 5*q(k). Let f be p(22). Which is the closest to u?  (a) f  (b) 1\/2  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -10?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from twtttwwwwwtwwtwwwwt.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -18*i - 4. Let o(x) = 37*x + 7. Let n(f) = 3*o(f) + 5*r(f). Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17.1251 + -1624.5851. Let f = p - -1594. What is f rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, j: 4, g: 2, r: 2, q: 2}. What is prob of sequence ngr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*d + 4*h + 58, -d = h - 14. Calculate the remainder when 90 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 93 and 14818.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**3\/3 + d**2\/2 - 11*d + 2. Let k be 3*(80\/15 + -5)*0. Calculate w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(48)*1)\/sqrt(8))\/sqrt(3) - (((sqrt(162)*-1 - sqrt(2)) + sqrt(2) - sqrt(2))**2 + -4)).\nAnswer: -197 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 8*x + 3. Let b be r(8). Sort -41, 4, b in decreasing order.\nAnswer: 4, b, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of 0*w**6 + 0*w**3 + 0*w**4 + 0 - 1\/30*w**5 + 6*w**2 + 0*w + 1\/42*w**7. Find the third derivative of r(q) wrt q.\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37917 divided by -20?\nAnswer: -37917\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -590819, -1181631, -1772441, -2363249?\nAnswer: -2954055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.78309508*4.\nAnswer: -3.13238032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -24 - (1 - 325\/13). Let n = -12 - -28. Suppose 5*r - n = 2*g, -2*g + g - 4*r + 18 = 0. Solve -2*t + 2 = p, g*l + 5*t = 2*t + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 80891857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 24, 76, 158, 276, 436, 644?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1700885106 to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 4. Let c be 0 - 5\/((-10)\/l). Suppose 0 = -c*q + 5*d + 21, -6*q + 4*d + 78 = -q. What is the lowest common multiple of 2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10018429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 145811\nAnswer: 2\/145811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 m, and 1 t when four letters picked without replacement from lmltl.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 - 3*t + 12. Let v be k(3). Let r be 4\/v - (7 + (-46)\/6). What is the smallest value in 12, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.4 plus -2602?\nAnswer: -2591.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 353 (base 10) to base 14\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of -1\/60*r**5 - 7\/3*r**3 - 115*r**2 - 5\/8*r**4 + 0*r + 0. Factor n(b).\nAnswer: -(b + 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((5 - 2) + -3)\/1. Suppose 4*d + 16 + 4 = j. Sort 3, -3, d in descending order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18875073 to the power of 1\/2, to the nearest integer?\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 40*x**2 + 37*x + 87. Let h be l(39). Let m be (-2697)\/h + 16\/(-48). What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55 - 34. Let g = f + -16. Which is greater: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*t + 602 - 495 + 4*t + 720.\nAnswer: -t + 827","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -35*a**3*s**3 + 870*a**2*s**3*w + 13*s**3 - 16*s**2*w + 1081*w - 2 wrt a?\nAnswer: -105*a**2*s**3 + 1740*a*s**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4781, 9557, 14331, 19103, 23873?\n\"Answer: -a**2 + 4779*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*j**3 + 80*j**2 - 80*j**2)*(5*j + 26*j + 0*j).\nAnswer: 217*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 21680550, 43361094, 65041638, 86722182, 108402726, 130083270?\n\"Answer: 21680544*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*m, 5*m = -3*o + 8 + 27. Suppose -o*k - 5*y - 10 = 0, 2*k - y + 6 = -5*y. Which is the third smallest value?  (a) -5  (b) 2\/5  (c) 0.5  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2755*w**3 + 5*w**2 - 5*w**2 + 0*w**2 - 2800*w**3 + 2*w**2 + 3 - w in the form g*w**2 + y*w + f*w**3 + m and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53\/3 - 40\/3. Find the common denominator of -133\/60 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -38  (b) -3  (c) -26\/613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 105250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, 2, -23960 in increasing order.\nAnswer: -23960, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -377*g**4 + 4*g**2 + 5*g + 125. Let o(i) = -376*i**4 + 3*i**2 + 4*i + 121. Let u(s) = 4*a(s) - 5*o(s). What is the third derivative of u(m) wrt m?\nAnswer: 8928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 9123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.07 - 10.93. Let x = z - -7. Let p be 2\/156 - (-22)\/143. Which is the third smallest value?  (a) 2\/9  (b) x  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7*0.0237\nAnswer: 0.1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1986 is divided by 397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35 by -802.\nAnswer: -35\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-4)\/(u*u**(2\/13))*(u**(-1\/2))**(-49) assuming u is positive.\nAnswer: u**(503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21079 and 1182?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -49 - -34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10602494687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*h - 166 + 15*h + 74 + 92 - 62*h**2 to u*h**2 + n*h + i and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-144)\/(-14) + 26\/(-91).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.368 and 0.5.\nAnswer: 3.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 22711 at most 22603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and -36008?\nAnswer: -28806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1981170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8.05. Let n = -0.07 + w. Let b = -0.0193 - n. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-17)*m*m**2 assuming m is positive.\nAnswer: m**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/25718 and -47\/210.\nAnswer: 385770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -140*z**2 - 14*z**5 + 140*z**2 + (0*z**3 + 3*z**3 - 2*z**3)*(3*z**2 - 2*z**2 + z**2) + 4*z**5 - 3*z**5 + 0*z**5.\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12171781 rounded to three decimal places?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87554 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o = 2169 - 5361. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = g + 4*p, -28 = 4*g + 5*p - 71. Calculate the remainder when 43 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1759105*s**3 + 393808*s wrt s?\nAnswer: -10554630*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 1.49, 4\/7, 0.4, -4, 0.08 in decreasing order.\nAnswer: 1.49, 4\/7, 0.4, 0.3, 0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + 46\/5)*(-30)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12031230*k - 5312055?\nAnswer: -12031230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.018875158 to 5 decimal places.\nAnswer: 0.01888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l - 3. Let d be q(6). Suppose 0 = -d*p, -3*g + p = -0*p - 18. Calculate the common denominator of -87\/2 and -2 + -2 + (-213)\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1770*z**2 - 1666*z**2 + 3438*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -476\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 4. Let q(n) be the second derivative of n**3\/6 - 5*n**2\/2 + 2*n. What is 6*g(m) - 5*q(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 0 + 315*w**2 - 322*w**2 + 1 - 19*w**3 in the form z*w**2 + y + t*w + f*w**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (819\/18 + -47).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, -5\/2, 4, -4\/7.\nAnswer: -5\/2, -4\/7, -2\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**3 + 6*t**2 - 5*t - 7. Let s(k) = -203*k**2 - k + 104*k**2 + 100*k**2 - 1. Let j be 4\/(-12) - 4\/6. Calculate j*o(i) + 6*s(i).\nAnswer: 2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13535, -13542, -13549?\nAnswer: -13556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2570*g. Let k(v) = -v**2. Give i(k(s)).\nAnswer: 2570*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 17*x**2 - 60*x + 368. List the prime factors of g(20).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 7. Let g = -1 - p. Let t = 1581 + -1580. What is the second biggest value in t, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 1\/3*t**3 - t**2 - 5\/4*t**4 + 0*t - 144. Determine d(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*q - 46*q - 8*q**2 - 227*q**2.\nAnswer: -235*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165 - 15*g**2 + 372*g + 0*g**2 - 163.\nAnswer: -15*g**2 + 372*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2148*o + 174*o + 386*o - 1 - 1270*o - 563*o in the form l*o + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -29*j**2 - 1280*j - 174. Let d be i(-44). What is t in -22\/3*t**d + 0 + t + 3*t**5 - 14*t**4 + 52\/3*t**3 = 0?\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*z**3 + 4*z - 315 - 4*z + z**2 + 596 - 343 + 77*z**5 wrt z?\nAnswer: 4620*z**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 71*n**3*s*z - 896*n**3*s + 1346*n**3*z - 41*n**2*s + s*z - 2*s - 2*z wrt z?\nAnswer: 71*n**3*s + 1346*n**3 + s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**3 + 2*j**2 - 3*j + 17. Let h be (1 + -2)\/(((-4)\/(-28))\/(-1)). Let m be k(h). Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-1)*u*u**(5\/2)\/u*u)**(-35)\/((u*(u**(-1)\/u*u)\/u*u*u**1\/u)\/(u*u**(-7)*u*u**(-6)*u)) assuming u is positive.\nAnswer: u**(-265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*z - 36*z + 2*z - 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (54\/(-15))\/((-4)\/(-15)). Let k = l - -14. Suppose c - 22 + 19 = 0. Sort -0.3, c, k in descending order.\nAnswer: c, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 621796646?\nAnswer: 2, 310898323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.02*-53519\nAnswer: 1070.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 8 = 67. Sort -21, 1, 4, u in increasing order.\nAnswer: -21, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 229*h + 196*h.\nAnswer: 425*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-2\/7))**(-2\/15)*q**(-8\/5)*q*(q\/q**(-7))\/q)**(3\/4))**38 assuming q is positive.\nAnswer: q**(6289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 1 - (-3 - (10 + -18) - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -39)*(-8)\/(-6). Suppose g = 4*p + 4*n, n + 20 = 5*n. Solve -2*z + 3*u = -4*z + 6, 3*z + 4*u - p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-3) + (1 - 3). Let j = 63\/8 + -229\/24. What is the second biggest value in g, -3, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0077 - -324.0077. Let r = f - 364. Let d = 1 - 0.5. Which is the closest to 1?  (a) d  (b) -4\/3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)*d**0)\/((d\/d**(-1\/3))\/d*d**(-2\/13)))\/((d**(-1)\/d**(-7))\/(d**(2\/23)*d**5)) assuming d is positive.\nAnswer: d**(-3671\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2017290 divided by -15.\nAnswer: 134486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25849 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, 2, 2\/5, -2\/5, 5 in descending order.\nAnswer: 5, 2, 2\/5, 2\/27, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -219.1517383 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -78 + 78.01. Let k = -4 - -3. Which is the nearest to -1?  (a) k  (b) -1\/3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+-2738\nAnswer: -2738.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -465*z + 469*z = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1003320600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 15 = -2*x, -4*x = x + 4*n + 5. Let m be (x - -5)*(-2 - -1). Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -989512, -1979063, -2968614?\n\"Answer: -989551*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(2) + (-3*sqrt(162))**2 + (-2*sqrt(20))\/sqrt(10).\nAnswer: -sqrt(2) + 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -272134 by -5.\nAnswer: 272134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30.922 + -30.922. Let g = 0.13 + 4.87. What is the closest to m in 3\/4, -4, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.00181 decades in months?\nAnswer: 600.2172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, -4, 1116\/79, -0.12, -17?\nAnswer: 1116\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-13)\/(-3) - (-7)\/(-21). Suppose 0 = y + v*y - 80. Let n be (-3 + y)*(0 - -1). Calculate the greatest common factor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/8801, 72\/11, 1 in descending order.\nAnswer: 72\/11, 1, -4\/8801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = -9*o + 230. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000261696 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*g = -13, m + g + g - 1 = 0. What is the units digit of m\/(-1)*17\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48414151?\nAnswer: 48414151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*b + 39*b - 79*b = 0. Suppose -7*i + b*i = -210. Solve d - 5 = -5*p + 3*d, i = -5*p - 5*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/12 and 77\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 547\/(-4376) - (1\/(-8) - 1). Let a be (1 - -1)\/(-1 - -2). Let y(i) = -a - 3 + 1 - 4*i. Let r(o) = -o. Determine b*y(d) - 5*r(d).\nAnswer: d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + sqrt(171) - sqrt(19)*-2*-2)**2.\nAnswer: -138 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1211 - -200222211?\nAnswer: 200221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w**3\/8 + 1227*w**2\/8 + 501843*w\/8 + 68417929\/8 = 0. What is w?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {a: 3, b: 1, w: 1, p: 5, u: 1, s: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -f**3\/2 + 4*f. Let m(b) = -22*b. Give m(l(o)).\nAnswer: 66*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21814 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4523 is divided by 596?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/34450467 and -53\/179898.\nAnswer: 68900934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22498 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u - 10. Let r be p(-8). Suppose r = n - 1. Suppose -4*h = -n - 5. Solve 2 + h = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -361, -14, -4, 7, 5, 4.\nAnswer: -361, -14, -4, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12576 divided by -1572.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 5:20 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 4*h - 343, 3*h = -2*c + 23 + 117. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, i: 4, e: 3}. Give prob of picking 1 e, 1 z, and 1 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 1 - (54 + -24 - 26) - 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of k**6\/30 + k**5\/60 + k**4\/24 - 19*k**2. Let b(g) = -g**3 - g - 1. Let v(j) = 3*b(j) + s(j). Suppose 3*l = -9 + 3. Give v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.1, 1\/7, 235.1, 59, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 97 in -1\/3, -2\/305, -0.2?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = 43*v + 244 - 89 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 10*j**2 + j - 1. Let h = -4 + 5. Let d be v(h). Let l be (-1)\/2 - (-5)\/d. Solve -4*b - 5*o - 10 = l, 5*o - 8 = 4*b + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 10*c**2 + 9*c + 12. Let v be d(-9). Suppose 4*m - v - 12 = 0. What are the prime factors of (-4)\/(-12) + 22\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v. Let j(a) = -a. Let q(x) = -5*x + 4*x - 3*x. Let c = 16 - 10. Let u(r) = c*j(r) - q(r). What is u(p(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 104 = 3*b. Find v such that 21*v**2 + 42*v**2 - b*v**2 + 50 + 4*v**3 + v**3 - 95*v = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**35\/l*l\/l**(1\/5) assuming l is positive.\nAnswer: l**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (13 + -3) - -9) + -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9  (b) -1  (c) -0.3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + k = 194 - 10, -102 = -2*h - 3*k. Suppose -20*o + 29*o = h. Solve 5 = d + o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 11*o - 33 = 0. Is (-1 - -5) + (o - -877 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -492 or -491?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 1 = -2*g - 2*n, -3*n + 15 = 0. Let o(u) = -u**2 - 3*u + 7. Let c be o(g). Solve -3 + c = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16148*t**2 + 32284*t + 24.\nAnswer: -4*(t - 2)*(4037*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -16. Let t = 52 + -31. What is the remainder when 372\/9 - z\/3 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5 = 19. Suppose 318 = -3*n + q*n + 4*t, -n + 93 = -3*t. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19053, 19041, 19029?\n\"Answer: -12*m + 19065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 123*x**2 + 18*x + 14. Is y(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6555540 divided by 38562.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)\/(-3*sqrt(80) + sqrt(80) - sqrt(80)))\/(sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) - -2*sqrt(320))))*6) + 5.\nAnswer: sqrt(7)\/1632 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29.5 + 0.1368.\nAnswer: -29.3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*y - 1 + 1)*(-1 + 3 - 3)*(-6 + 1 + 2) to the form b*y + u and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 8:57 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*y - 1. Suppose -y*c + 4 = -0*c. Factor 6*g**3 + 2*g**c - 5*g**4 - 3*g**2 + 2*g - 14*g**3.\nAnswer: -g*(g + 1)**2*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80284812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/16350 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*v - 39 = -0*v, -5*v = -5*i + 45. Let c(d) = -d**2 + 8*d + 1. Let a = -9 + 14. What is the remainder when c(a) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 100 and 4130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -201*o**2 - 3*o + 9. Let m be p(4). Let l = 35370\/11 + m. Find the common denominator of l and 27\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 2 t, and 1 q when four letters picked without replacement from httxxhatmhqm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1176989 is divided by 3089?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -858 + -2686?\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -36 + 47 + (-8 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 - 27. Let b = 13 + k. Let o = b - 7.07. Which is smaller: -2\/7 or o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -117, -120, -117, -102, -69, -12?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-14) - 130\/(-35). Let x be q + (2 + -2 - 1). What is the greatest common factor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8358643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8123109 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139 - -693\/5. Let d = 597\/7 + -85. Let k = 72.8 + -73.1. Which is the nearest to d?  (a) l  (b) -1\/4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -22. Suppose i*v = 2*v + 8999940. Suppose -5*a = -5*z - v, 2*a + 7 = -1. Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 23*p**2 + 4*p + 3. Let i(r) = 24*r**2 + 5*r + 4. Let z(l) = -3*i(l) + 4*s(l). What is the second derivative of z(o) wrt o?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 63*d - 382. Give x(56).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -175*k - 628. Calculate w(1).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/559087717?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 175 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 46*a**2 - 49*a - 2250. Give v(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 15) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.6, 3\/4, -0.1, 2, -1350?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39.6 - -40. What is the second smallest value in s, 3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -4*a + 5*n, -2*a - 3*a - 4*n + 15 = 0. Suppose 2 = a*l - 5*l. Let d be l\/(1 + 5\/(-6)). Solve -4*s - y + d*y - 12 = 0, 6 = -2*s - y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from reeezefzzelzerrw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**2 + 930*i - 71208 = 0.\nAnswer: 138, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 j, and 1 c when four letters picked without replacement from {t: 4, j: 5, h: 3, c: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-6 - (1 - -2) - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**7\/420 - t**6\/90 + t**5\/60 + t**4\/6 + t**3 - 2. Let z(k) be the third derivative of a(k). Factor z(g).\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x - 2*x + 5*x)*(2 + 0 - 4) - 2*x + 6 - 6 - 8*x - 7*x + 26*x + (-2*x + 3*x - 3*x)*(-3 + 0 + 5) + 0*x + x + 2*x as k + l*x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.04448*-0.4\nAnswer: -0.017792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3*z**2 + 14*z - 16. Calculate c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27415057 is divided by 659?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of f**3 - 74364*f**2 - 177347*f wrt f.\nAnswer: 6*f - 148728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2693.4 - 2694. What is the closest to 0.2 in -3, 4, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 2*i - 15. Calculate the smallest common multiple of i and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 173 - 111. Suppose 7 = -2*q + 1, -3*q = 3*b. Suppose 0*l = b*l + x - 186, 0 = l + 2*x - t. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(-2 + (-51)\/(-26)). Let t = -0.065 - -0.065. Sort t, 10, r.\nAnswer: r, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 135, 883, 2127, 3867?\nAnswer: 6103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 260 - 259 - ((0 - -5) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2 + 8*q. Let f(l) = -l. Suppose 0 = 30*h - 7*h - 92. Suppose 3*s - 7*g + 6*g - 5 = 0, 2*s + h = -3*g. Calculate s*i(r) + 12*f(r).\nAnswer: -2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 1862 = 476. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111923 = -3682*w - 388073 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 208927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -16*c + 2. Suppose 0 = z + 3, -84 = -5*t - 3*z + z. Calculate the remainder when f(-2) is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + -19. Suppose 11*l = 39 + z. Solve -2*d - 15 = d - 4*m, 5 = l*d + 3*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172063813 divided by -1?\nAnswer: -172063813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 3*b. Suppose 5*s = -b*s + 2*s. Suppose -4*c + 3*d = -11 - 60, s = -5*c - 5*d + 45. What is the remainder when 95 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -148000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d + 2 = -5*d - 5*n, d - 5*n - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-50)\/(-30))\/(10\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2733719 minus -2?\nAnswer: -2733717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -965*l**3 - l**2 - 2*l - 5. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(16\/40)\/(5\/(-75))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 3233787\nAnswer: -7\/3233787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of -2*g**5\/5 - 63*g**4\/4 + 10*g**2 + 5884*g - 1833. Find the first derivative of y(z) wrt z.\nAnswer: -8*z**3 - 189*z**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (687 - 467 + 602)*(2 + 4 - 5)*(-5 + 2 + 2)*(-h**3 + 2*h**3 - 2*h**3).\nAnswer: 822*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -32064 < -32064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -361, -365, -369, -373, -377?\n\"Answer: -4*r - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 39*h = 37*h + 5, -4*x + 2*h = 30*h - 40 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2108744808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 189021640 divided by -548\nAnswer: -344930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of a**5\/5 - 7*a**3\/6 + 9*a**2. Differentiate g(i) with respect to i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-198)\/(-110))\/(-6*3\/(-60)). Suppose 4*m - 4*k = o*m - 1452, 3658 = 5*m - 4*k. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4666*k + 4257*k + 5043*k - 15143*k)*(0*k - 2*k + k) as c + h*k + s*k**2 and give s.\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -443850 divided by -6\nAnswer: 73975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1340 = -54*m + 87*m + 34*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f - 3*f + f + (f + 0 + 0)*(1 - 5 + 3) + 2*f + 0*f - 4*f + 3 + 4*f - 3 + (-2*f - f + f)*(13 - 9 + 8) in the form s + z*f and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16525274 to the power of 1\/2, to the nearest integer?\nAnswer: 4065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 29\/112 in -7, 0.29, -2, 6\/7?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2733*g - 3581*g - 209*g - 863*g to i + q*g and give q.\nAnswer: -7386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1356 - 1357. Which is the second biggest value?  (a) 1.3  (b) d  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 11111101110101000101?\nAnswer: -11111101110101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2314143 + -2?\nAnswer: 2314141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -2*r - 40 - 5, 0 = -r. Calculate the greatest common factor of w and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from cccccccccqqqcqqccq?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 - -26. What is the highest common divisor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/130*8\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10239229241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 85099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**3*t)\/t*t*t*t*t**(-9)*t)\/(t**(-11)\/(t\/t**7*t)) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkicf. What is prob of sequence kkf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-15)*((-5)\/(-2))\/(564\/(-2632))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19828 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -10, -7, -2, 5, 14?\n\"Answer: q**2 - 2*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + -9 - (-6 - -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 5 = -7, 0 = -g + 5*r + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1140222 - 2924.35.\nAnswer: -2924.4640222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f + 2*f + 3*f)*(20550*f**2 + 21683*f**2 - 45114*f**2).\nAnswer: -2881*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**4 + 49*d**4 + 31*d**4)*(1 + 3*d - d + 0) - 2*d**5 + 2*d**5 + 3*d**5.\nAnswer: 169*d**5 + 83*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**4\/10 - 13*u**3\/5 + 21*u**2\/10 + 52*u\/5 - 10 = 0.\nAnswer: -2, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 47740410149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3065236*b**4 - 45*b**2 + 122749166*b - 3 wrt b.\nAnswer: 36782832*b**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 2. Suppose -5*b = -3*b - q. Calculate the smallest common multiple of 9 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18440\/7 + 2634. Let l = -26 - -21. Which is the fourth biggest value?  (a) 0.037  (b) s  (c) l  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 8 = -3*k, a + 5 = 6*k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwxwx. Give prob of sequence xx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 45701 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.979 + -186.021. Is 0 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/12*33\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6002 = -t, 3*t - t - 4*o - 11972 = 0. Let j = t - 59989\/10. Let z = -1568 - -12645\/8. What is the common denominator of j and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -31\/4, 165, 17, -3\/68?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3 - 2 - 1 - u. Let d(y) be the first derivative of -y**6\/180 - 56*y**3\/3 + 2*y + 102. Let g(z) be the third derivative of d(z). Give g(k(p)).\nAnswer: -2*p**2 - 24*p - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*k = 14*k - 22. What is the hundreds digit of (-101888)\/(-288) + k\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - (-1 + 10\/(-65))) + 680973\/39. Calculate the highest common factor of 57 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60, 77, 104, 141?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3197\/2596 + 74\/59. What is the third biggest value in -1, -1\/4, f, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1610391 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -79294 - -43431. Let n be 1\/((-20)\/c)*-2. Let a = n + 3574. What is the common denominator of -47\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 20. Let w(j) = j**3 + 5*j**2 + 6*j + 9. Let x be w(-3). Suppose x*q = t*q + 140. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 42754569, 85509140, 128263711, 171018282?\n\"Answer: 42754571*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 - 6*m**2 - 4*m - 7. Let q be y(-6). Let k be (q\/(-2))\/(3\/(-6)). Let z = 25 - k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 144 = -8*t. Suppose -4*x + t*x = 8280. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 - 13. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29512450 divided by -23330\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -10121100 (base 3) to base 14\nAnswer: -d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-2) - (10 + -11). Suppose -15 = -t*q + g, -3*q + 4*q + 2*g = -3. Suppose -4*o - 28 = -3*i + i, -q*i = -4*o - 40. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 98\/(-147) - 3\/(198\/(-56))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10587974.\nAnswer: 2, 17, 89, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 5*n + 113904. What is the tens digit of ((-2)\/6)\/((-14)\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1183 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(3\/4)*r)*r**0)\/(r*r*r\/r**(2\/19)*r*r*r*r**4\/r))\/(r**(-1\/8)*r**0*r)**(-35) assuming r is positive.\nAnswer: r**(3189\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**7\/420 + 9*z**6\/80 - 63*z**5\/40 + 171*z**4\/16 - 81*z**3\/2 + 178*z**2. Factor r(l).\nAnswer: -(l - 18)*(l - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14340 divided by -5?\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2526 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6*g + 2)*(30*g + 7*g - 19 + 20 + (2 - 4 + 4)*(3*g - g - 3*g))*(0 + 1 + 5).\nAnswer: -1260*g**2 - 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -1.6, 0.02, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 11:40 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53725697 is divided by 644?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92 + -71. Let r = -99 - -114. Calculate the remainder when o is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (175\/14)\/((-6)\/(-18660)). Suppose 12*f - y = -5047. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -37*q**3 - 7*q**2 - 15*q - 53. Let v be l(-3). What is the highest common factor of 29 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165614, -165618, -165616, -165602, -165570, -165514, -165428, -165306?\nAnswer: -165142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.022 times -26\nAnswer: 0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 7:03 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 233 - 23?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 328280697?\nAnswer: 3, 36475633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 2. Let h be -2 + (2 - 6\/b). Let q = 35 + -34. Put 3, q, h in descending order.\nAnswer: 3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10 and 16883576.2703.\nAnswer: 16883566.2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -914 - -1057. What is the remainder when v is divided by 68?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/((-273)\/(-259)) + (-16)\/(-104). Factor 1\/3*y + 1 - 1\/3*y**j - y**2.\nAnswer: -(y - 1)*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(((q**0\/q)\/q*q)\/q))**(-14))**(-40)*(q*q*q**(-2\/15)*q*q\/(q**4\/q)*q)\/(((q**(2\/5)\/q)\/q)\/(q*q*(q*q**(-1\/4))\/q)) assuming q is positive.\nAnswer: q**(101113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73 and 1460?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 + (-29 - -26) - 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4533, -18096, -40701, -72348, -113037, -162768?\nAnswer: -221541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tf when two letters picked without replacement from ntnrf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 378*n**3 - 5*n**2 + 4*n. Suppose 2 + 0 = 2*h. What are the prime factors of r(h)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 6a3?\nAnswer: -6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*q + 1171*c - 1169*c - 76, 2*q + 59 + 131 = 5*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/15?  (a) 4  (b) -112  (c) 0.1  (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -13*p - 147. Let b(n) = -2*n. Determine -14*b(z) + 2*y(z).\nAnswer: 2*z - 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -70911, -22, -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/46)*y*y**(-21) assuming y is positive.\nAnswer: y**(-919\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of x**5\/60 - x**4\/12 + x**3\/6 - x**2. Let u be p(3). Let y = u - 4. Solve 3*k + y*k = -5*v + 15, 0 = -4*v + 3*k - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/9)\/((3\/(-4))\/(-1))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -307378 take away 4?\nAnswer: -307382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11, 6, 9, 20?\n\"Answer: 4*m**2 - 17*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/2, 393.5, 289, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 0 + 0)*(-5 + 3 - 4).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 7 - 7. Find the second derivative of -2*h - c*h**2 - 144 + 144 wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/((r\/r**(-23))\/r)))\/(r*r\/((r*r**(2\/11))\/r)) assuming r is positive.\nAnswer: r**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7\/4 + -2. What is the closest to -1 in w, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 6*t. Let h(m) = 3*m - 5. Let z be h(4). Let l(u) = 2*u - 10. Let f be l(z). Sort f, t, 5 in descending order.\nAnswer: 5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105 and 85029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -4502?\nAnswer: -4502.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 12*h**2 - 16*h - 20. Determine a(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l = -5*l - 148. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2 + t**2 + 0*t**2 - 9*t + 2*t**2. Let r(q) = -7*q**2 + 19*q + 3. Let j(w) = -5*o(w) - 2*r(w). Calculate j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12581.182 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.349  (b) -2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2218243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, v: 1, e: 3, f: 1, t: 1}. What is prob of sequence eew?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 206 and 2588081?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*q**2 - 343\/4 + 21\/2*q.\nAnswer: (q - 7)*(q + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 5. Let q(m) = 21*m**2 + 3*m + 11. Is q(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 3:24 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*b + 1 - 3*b - 1 in the form a + x*b and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 2*d - 2, -5*w = 4*d - 12 + 2. Suppose -3*y = w*y + 300000. What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, g: 4, w: 7, o: 4, z: 1}. Give prob of sequence gzow.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2265646417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 - -98. Suppose -5*u = -8*u + o. Suppose 0 = -7*s + 583 + u. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/2*(-1)\/((-105)\/(-360)*-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 4*l**2 + 34*l + 139. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**24)**(-44)*((q**(2\/17)\/q)\/q)**(-2\/77) assuming q is positive.\nAnswer: q**(1324772\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/510 and 97\/8.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 20 = 2*m. Suppose 9 = 3*f, m*p - 161 = -3*f + 143. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*a + a + 11*a)*(-5 + 2 - 2) + 2*a - a - 1 - 2.\nAnswer: -129*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.6  (b) -0.5  (c) -31  (d) -2\/13  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**2\/5 - 196*d\/5 - 4802\/5 = 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 220 = -0*q. Let d = 135 + -43. Let y = q + d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3117*p**2 + 40515*p + 78.\nAnswer: -3*(p - 13)*(1039*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 877 is divided by 165.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 7:04 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -5 - 13 - -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 104634.048 rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/246 and 7\/14104?\nAnswer: 42312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d - 3. Let c be u(2). Suppose q = c*t - 21, q = -2*t - 1 + 15. Let w(m) = 3*m - 1. Let z be w(7). Solve -4*r - 1 = -3*r, -q*h - z = 4*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 913336 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130570869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3\/7 - 5356*m**2\/7 - 16082*m\/7 - 1532.\nAnswer: 2*(m - 2681)*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 31 = -3*v, h = 2*h + v - 5. What is the lowest common multiple of h and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 5*a**3\/3 + 11. Let x(q) = -5*q**2. Calculate -4*j(v) - 5*x(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o**3 + 23 - 12*o**2 + 25*o + 8*o + 11*o**2 - 29*o**4 + 51*o**4 - 21 in the form c + u*o**3 + f*o**2 + n*o + a*o**4 and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*2*(4 + ((-1 + -4*sqrt(2448))**2 - (-1 + -3 + sqrt(2448)))).\nAnswer: -78354 - 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 10:51 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d**3 - 17*d**2 + 16*d - 6. Let n(l) = -9*l**3 - 37*l**2 + 32*l - 11. Let r(g) = 3*n(g) - 7*t(g). Let h be (-3)\/2*(4 + 2). Does 30 divide r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 14) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**5\/420 - x**4\/84 - x**3\/42 + 18*x**2. Solve f(a) = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.3 + -10. Let i = 8 + -5.7. Let h = q - i. Sort -1\/6, -2\/3, h in decreasing order.\nAnswer: -1\/6, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19885*j**4 + 862*j**3 + 4*j**2 - 598094033*j?\nAnswer: 238620*j**2 + 5172*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21 and 4136.\nAnswer: 86856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 4:08 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 248 = 14*l - 18*l, -2*g = 3*l - 193. Calculate the lowest common multiple of l and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*y + 222, 0*y + 112 = i - y. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 96466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43615 is divided by 189.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2058 - 2058.3. Sort -8\/7, 3, q, -5 in ascending order.\nAnswer: -5, -8\/7, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 631*u + 9003 + 7403 = 0 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 294*q**2 + 44180*q**6 - 104263*q**6 + 49637*q**6 + 93*q**2 wrt q.\nAnswer: -1253520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20594510526*w + 10297255289*w + 10297255239*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 9 = -2*o. Suppose y + 3*q - 2202 - 2206 = 0, 5*q = o*y - 13266. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 208*w + 6. Let t be o(0). Solve 3*n - 5*s + t = 0, -2*s + 10 = 5*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4908372794?\nAnswer: 2, 13, 14521813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (91 - (161 + -60)) + 1 + 13 + -152.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/399*4452\/(-12932)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -80 - (-30 + -19) - 42\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 + 43. Let j = -28 - f. Is ((-2)\/(8\/j))\/((-8)\/6352) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162217.\nAnswer: 11, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 17*w**3 - 2*w**2 + 2*w - 2. Let f(t) = 50*t**3 - 7*t**2 + 6*t - 7. Let z(p) = 2*f(p) - 7*q(p). Find the second derivative of z(n) wrt n.\nAnswer: -114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -29*d + 22860. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 10, b: 4}. Give prob of picking 4 z.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 - -31. What is the highest common factor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s = -31017 - 8263. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28950.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -24630 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4443894 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4522309156 to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3 - 48 = 0. Let t = -28 - -41. Let p = t + a. Solve 0 = 2*k - p - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-6) + (-252)\/(-16) and -15\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 33*v + 4. Calculate d(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.057 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-6 - (-3 + 5)) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 578343?\nAnswer: 3, 192781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1202*k**3 + 953*k**3 - 120*k**2 - 2153*k**3 - 6 - k as x*k**2 + t + i*k**3 + n*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 1\/2  (c) 53\/60  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 2*q + 5. Let a be u(5). Let k = 12 + a. Let o be 0\/(20\/11 + (-8)\/(-44)). Solve -k*x + x - 4 = o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*v - 6 = 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence chmc when four letters picked without replacement from {c: 7, m: 2, h: 9}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gqxtttxgeeetxey. What is prob of sequence ttq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 10*l**3 - l**2 + 24*l - 122. Let c be j(6). Is 2147 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -495, -491, -477, -447, -395, -315, -201, -47?\n\"Answer: n**3 - n**2 - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.324000303 + 1.324. Round w to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*g - v + 6, 3*v - 31 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, 37, 99, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**4\/48 - p**3\/36 + p**2\/4 - 93. Factor x(y).\nAnswer: -y*(y - 2)*(y + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 143106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -2\/5, -1, 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -971 divided by 407.\nAnswer: -971\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-114)\/27 + 4 - (-16)\/(-9). Let m be 2*(f\/(-6) - 42\/(-9)). Let g(d) = d**3 - 28*d**2 + 49*d + 85. Let u be g(26). Solve 3*w - m = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(117\/65) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/435)\/(70\/120*(-14)\/49).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 13*w + 95. Let l be d(-7). Suppose -4*o + 112 = l*o. Calculate the remainder when 68 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 160\/7 - (2 + 105\/(-49)). Suppose -1011 = -m*q + 461. Calculate the highest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00080509376 to seven dps.\nAnswer: -0.0008051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6\/48*(-18)\/(-27)*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 3*j - 1. Let n be u(4). Which is the biggest value?  (a) n  (b) 0.05  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 1 + -3 - 2. Let w = -1 - z. Suppose 7 - 7 + 4*j - w*j**2 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1506 - (2 - (-1 - -4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19\/((-171)\/(-36)) + 512 + 1.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 256 + 227. Suppose -2*z - 41 = -t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 7 = 5*l, -3 = -20*a + 23*a + 3*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v**2 - 5*v - 14. Let k be p(-2). Let q(j) = -k + 34*j - 35*j + 11 - 10. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -623*q - 686*q + 1301*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 4)*(-1 + 3 - 26)*(-j - j + 0*j)*(1 + 1 + 7).\nAnswer: -432*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 630 = -2069*a + 2079*a. Suppose -t - 4*l + 143 = 0, -4*t - 5*l = -l - 572. Calculate the remainder when t is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/21)\/(-7 + 1544\/224). Solve -u - r = -3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -168*d + 161*d + 315. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**5 + 3*r**5 - 6*r**5 + (2*r**2 - 2*r**2 - 2*r**2)*(-10 + 10 - r)*(-11*r**2 - 98*r + 98*r)*(-2 + 1 - 1).\nAnswer: 42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -322956, -322252, -321548?\n\"Answer: 704*t - 323660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of l**4\/12 + l**3\/6 + 10*l. Does 8 divide d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0019631 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30034587.\nAnswer: 3, 11, 910139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 788 = -463*j - 18658 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -113*a - 118 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*k**2*u**2 - 4961*k**2 - 2*k*u - 34299*u**4 - 4*u**2 + 27*u - 4 wrt u?\nAnswer: 30*k**2 - 411588*u**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1878 and -294 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18.9 - 19. Which is the nearest to l?  (a) 1\/3  (b) 2\/9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -148569, -146594, -144619, -142644, -140669, -138694?\n\"Answer: 1975*k - 150544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**2 - 34352072*m - 147508106336648 = 0?\nAnswer: -8588018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9524, 9590, 9656?\nAnswer: 9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3896 - 4089. Which is the second biggest value?  (a) -2  (b) -1\/2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -8. Suppose 0*x - 16 = -3*x + n, -28 = -a*x + 3*n. Factor 0*v**4 - 4*v**3 + 1 - v**4 + 2*v**4 - x*v + 0*v**4 + 6*v**2.\nAnswer: (v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/5 + 144*u\/5.\nAnswer: 2*u*(u + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 96\/(-80)*(-10)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3004415 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/211  (b) -0.4  (c) 2\/7  (d) 2.471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*j)*(5 - 5 - 2) + 8 - j - 8 + 2*j + j - j + (-1 + 1 + j)*(-1 - 2 + 5) + 2*j + 5 - 5 + 10*j - 2*j - 11 - 7*j.\nAnswer: 10*j - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15983563*l**4 - 15091742 wrt l?\nAnswer: -63934252*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194192 = 122*j - 351*j. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -11*x - 1. Let p be c(7). Let i be (2\/(-4))\/(13\/p). Suppose 0 = -i*w + 22 + 11. Which is greater: 12 or w?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33048 - 1697*d - 16520 - 16526.\nAnswer: -1697*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-320)\/(-336) - -3*(-2)\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o + 2*o - 3*o + (o + 60 - 68 - 3*o)*(-6 + 5 + 6)*(-2 - 3 + 3).\nAnswer: 22*o + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178*w**3 + 1 + 175*w**3 - 1.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 at most 26.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 230\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25267681\/12 - 2094897. Let j = f + -10733. Let k = 15733\/6 - 2629. Calculate the common denominator of j and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 27 + 0*w - 26 + 0*w + 16*w in the form z*w + h and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.042952 rounded to 4 dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m + 4. Let l = -43 + 73. Suppose l = 2*a - 7*a. Let h(y) = -2*y + 5. Suppose -2*v = 3*v - 25, -3*g + 5*v - 10 = 0. Give a*f(i) + g*h(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*w - 1, -5*g + 5*w + 20 = 0. What is the nearest to 0.1 in -0.3, -5, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, d: 3, y: 2, r: 1}. What is prob of sequence dyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from teivzjt. What is prob of sequence evt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 67*y + 630*y - 25789 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*h + h + 15, 2*d + 116 = -2*h + 6*h for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-1)\/4 + 22\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -274*v**3*y**2 - 22*v**3 - v*y - 2*y wrt y?\nAnswer: -548*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 61c + -7?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 15) + (-1 - -2) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.02 + 4.02. Let d = 207.67 + -206. Let i = 1.7 - d. What is the nearest to i in p, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 3104224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of ((-54)\/81)\/((-1)\/969)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/((-1 + 2)*-1). Suppose 3*d + 15 = 6*d. Suppose 28 = d*c + 8. Solve 0 = -r - c*r - g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1079241869?\nAnswer: 113, 9550813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 772\/9965 or 1?\nAnswer: 772\/9965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9.31, 1\/6, 3\/25, 43\/3 in decreasing order.\nAnswer: 43\/3, 1, 1\/6, 3\/25, -9.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24352 and 2?\nAnswer: 48704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f + 127 = -54 + 49. Let a(m) = -18*m**3 + 2*m**2 - m. Let c be a(1). Do c and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-25 - -8) + (-6 - -7) + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11037491\/30034 - -2\/15017. Let v = y - 384. Which is smaller: -16 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 27 and 101.4378.\nAnswer: 2738.8206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.8 + 3. Let p = -0.7 + l. Let s = 0 + p. Which is the third smallest value?  (a) 1  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**6*x*x**2*(x**(-1\/2)*x*x)**(-8\/11)*(x**(-1))**(-33)\/(x*x*x*x**(2\/5))**3 assuming x is positive.\nAnswer: x**(1689\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5204730799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -712800 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 12:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 41*s**2 - 3*s. Let p(w) = -6*w - 39. Let j be p(-7). Let r(x) = 41*x**2 - 2*x + 1. Let a(k) = j*r(k) - 2*v(k). Let o(c) = -2*c. What is a(o(z))?\nAnswer: 164*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210010010121 - -200?\nAnswer: 210010011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5*u**2 - 24*u + 340. Calculate w(-13).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-205)\/(-35) - ((-16)\/14 + 1). Suppose 0 = -x*v + 2 + 46. What is the highest common factor of 376 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9197\/3 + -3066. Let v = -0.5 + 0.7. Which is the closest to v?  (a) 1\/7  (b) 1\/2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 12:15 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293 is divided by 109.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -68206 divided by 5\nAnswer: -68206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 3*a - 3*a)*((3*a - 3*a + 2*a)*(4*a**3 - 5*a**3 - a**3) - 2*a + 2*a**4 + 2*a + (-4*a**2 + 2*a**2 + 3*a**2)*(-1 - a**2 + 1)).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7113 - -7548. What is the highest common divisor of o and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**3 + 746*c**2 + 4405*c + 46. Give b(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3\/7, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, -3\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -40*c**2 + 5. Let u(i) = -2*i**2. Give m(u(g)).\nAnswer: -160*g**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -484 + -20b70a?\nAnswer: -20bb92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2094167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + (8\/10)\/((-2)\/(-115)). Calculate the highest common divisor of 66 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 94 - -122?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 7*d**3 + 10*d**2 - 7*d + 9. Let l(z) = -2*z**3 - z. Let w(s) = b(s) + 3*l(s). Determine w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 o when four letters picked without replacement from ovfvfvsovvfvvsvff.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(400)\/(sqrt(88)\/((sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11))))\/((sqrt(70)*1)\/sqrt(7) - sqrt(160)\/sqrt(4)))**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -170*b**5 - 189*b wrt b?\nAnswer: -3400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 0.14  (b) 8.4  (c) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00086622 rounded to 6 decimal places?\nAnswer: 0.000866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75 + -72. Suppose -x + 5 = -s + h, 5*s + 5*x = 0. Let k(l) = 4*l**3 + l**2 - l - 1. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -783b8 - 2?\nAnswer: -783ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -620158 - 6?\nAnswer: -620161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -6 - u - 6*u**2 + 0*u**3 - 2*u**2 - u**3. Let m(z) = -8*z - 56. Let i be m(-6). Let o be p(i). Solve l - 3 = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -781 - -784. What is the first derivative of 9*q**2 + 7*q**4 - 8*q**4 - a*q**2 + 206 + 22*q**4 wrt q?\nAnswer: 84*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 8 + 10. Suppose -3*z = -o + 15, -o - g = z + 2*z. Solve o*s = -k, -k + 5 = -s - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1021030 + 222?\nAnswer: 1021312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3214 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-3)))\/(t**5\/t))\/(t**(2\/13)\/(t\/(t**(2\/7)*t)*t))*(t**6\/t*t**5)\/(t**(-3\/8)*t**(-4)) assuming t is positive.\nAnswer: t**(10145\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 0.2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/36 and -64\/549.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from dmooommmodddmdd.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/27)\/((-1)\/(-6)). Suppose -v*z + 0*z + 96 = 0. Suppose -5*n = -4*o - n + z, 0 = -4*o + n + 36. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 + 122 = -i. Let p(d) = -d - 1. Let y be p(-4). Suppose -y = i*h - t, 5*h - 5*t = -7 - 8. Solve h = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(8208)*-4 - sqrt(57)) + sqrt(57))\/((-3*sqrt(300) - sqrt(300)) + sqrt(3)))**2.\nAnswer: 19456\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 47537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 1  (b) 0  (c) 130  (d) -5  (e) -2\/575\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*p + 76*p - 15 = 0. Sort -51, 2, p in ascending order.\nAnswer: -51, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 5, 9, -3, -4355 in decreasing order.\nAnswer: 9, 5, 0.3, -3, -4355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/5 + 38\/5. Suppose 222*f + 119*f + 54 - 395 = 0. Put 3, f, t, -5 in ascending order.\nAnswer: -5, f, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 57691541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5 = s, -5*s = u - 4*u - 40. Let j(c) = -17*c + 14. What are the prime factors of j(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*a = 4094 + 2836 - 1691 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -z + 28. Suppose 3*g - 11 = -c, 0*g = -5*c + 5*g + z. What is the first derivative of 0 + 0 - 12*k**3 - c wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of 2\/15*w**5 - 1 + 47\/54*w**4 - 4\/9*w**2 + 2*w + 44\/27*w**3. Determine h, given that k(h) = 0.\nAnswer: -2, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of -3*s**5\/10 + s**2\/2 - 7*s. Differentiate c(r) wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 11*j = -24, 38 = 2*y + 2*j. Which is the closest to -1?  (a) 0.5  (b) y  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -464*k + 23*k - 19712 = 175*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29740976 is divided by 14333.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 396352 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let p be (-74008)\/209 - 2\/(-19). Let o = -88 - p. List the prime factors of o.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 10:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11\/28 - 773\/756. Calculate the common denominator of -49\/6 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 13) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 306828738 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -37*a - 20*a + 64*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.1, -0.44, 2\/13, -4722 in increasing order.\nAnswer: -4722, -1, -0.44, -0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1, 87, 177, 269, 363, 459?\n\"Answer: y**2 + 85*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/4620 and -61\/13860.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**35\/q**(-25))\/(q**(14\/9)*q\/q**10) assuming q is positive.\nAnswer: q**(607\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1009377?\nAnswer: 3, 112153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1343851765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 53, 123, 239, 401, 609?\n\"Answer: 23*y**2 + y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 5*a**2 + 9*a + 8. Let v(u) = 9*u**2 + 18*u + 15. Let m(d) = 4*v(d) - 7*z(d). Let x be m(-9). Solve -2*r - 2*l + 8 = -4*l, -2*r - 2*l - x = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 210 - 206 = 0, 4*b - 3*l = -17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 699 - 1244. Let z = 547 + y. Solve -z*g = 6, 5*n - 2*n = 3*g + 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5.307987 days?\nAnswer: 127.391688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 264*g - 4. Let y be i(3). Round y to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-75) - 624\/45\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -384*w**3 + 1293*w - 691. What is the derivative of h(z) wrt z?\nAnswer: -2304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 8.030018 millennia?\nAnswer: 80.30018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 7:30 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21*a**4 + 66445*a - 66445*a + 747 - 2*a**2 wrt a.\nAnswer: -84*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.66, 1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssljcssljjs. What is prob of sequence lcs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.4, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/33 + -3*2\/33. Suppose -3*m + 7*m + 54 = 2*u, 64 = -4*m + 4*u. Let f be (-17)\/m - 5\/5. Is f at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o. Let b(p) = -6*p**2 + 21. Calculate b(j(m)).\nAnswer: -24*m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vj when two letters picked without replacement from vvvjvvjvjjjj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 20618*z**2 + z + 226 + 2*z - 20614*z**2 - 3*z as i*z + x + v*z**2 and give x.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1.62, 12\/29.\nAnswer: 0.3, 12\/29, 1.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m**2 - 6*m + 3. Let s be c(-8). Let k = -268 + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 38*h**2 - 39*h + 205. What is the hundreds digit of x(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 11765872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-4*(-7)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v + v + 0*v)*(-3*v - v + 5*v) + 2*v**2 + 0*v**2 - 3*v**2 in the form f*v**2 + b + x*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 5*q**2 + 8*q + 65. Let y(j) = -3*j**2 - 5*j - 43. Let i(c) = 5*d(c) + 8*y(c). Differentiate i(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - 27) + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 5*a + 16 = -m - 4*a, 23*a - 548 - 284 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-66)\/(-44) - (-29)\/2 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 25*x = -24*x - 14, 0 = 2*c - 3*x + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 5) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*r - 7 + 44*r - r**2 to q + v*r**2 + x*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -3*s + 4919, -2156*y + 2160*y - s = 4915. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**6\/15 + k**5\/2 - k**4\/6 - 17*k**3\/3 + 12*k**2 + 85*k + 1. Factor v(g).\nAnswer: 2*(g - 1)**2*(g + 3)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5685, 5652, 5589, 5496, 5373, 5220?\nAnswer: 5037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -32836 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 2\/13  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.293 + 0.057. Let n = r + -0.6. Round n to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of 3*v**5\/5 - v**4\/2 + 4*v**3\/3 + 3*v**2\/2 - 228. What is the third derivative of n(r) wrt r?\nAnswer: 72*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-2))\/(2\/16). Suppose 11 = b*i - 21. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-25)\/75)\/(1\/(-3)) + -2. Let p(i) = 2 - 5 + 1 + 1. Let x(r) = -3*r - 3. What is a*p(q) + x(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 34 = -8*v. Let j(q) = -258*q**3 - 4*q**2 - 5*q - 14. Let k be j(v). Round k to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tcwtcwwkttwttwc. What is prob of sequence wtk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -166 + 116. Let a be (-4)\/(-10) + (-230)\/g. What is the greatest common divisor of 40 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/2 + 3*t + 5\/2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -2, 4, 18575, 134.\nAnswer: -3, -2, 4, 5, 134, 18575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -22*b + 1. Calculate o(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(44\/(-77))*100\/(-1575)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -g**9\/16632 + g**8\/9240 + g**7\/4620 - g**6\/1980 + g**3\/6 + 4*g**2. Let d(u) be the first derivative of y(u). Factor d(p).\nAnswer: -2*p**2*(p - 1)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**4)**37)**(-29))**(-1))**(-21) assuming m is positive.\nAnswer: m**(-90132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t + 31 - 35 - t + 4*t**2 - 3*t**2. Suppose 0 = -2*n + 11 + 9. Suppose n = -0*p - 2*p. Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 o when four letters picked without replacement from nasodooo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -22946 and -22953 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 3:13 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(468)*1 + sqrt(468) + (sqrt(468) - (sqrt(468) + 0)) + -5)**2.\nAnswer: -240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*r - 4 + 19 - 16)*(2*r**2 - r + r).\nAnswer: -64*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*j + 3*h + 4 = 0, 3*h - 26 = -4*j. Solve 2*p = p - j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21758 and 344.\nAnswer: 87032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30.2 + -27. Let r = 3.9 - t. Do 2\/5 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3167079837 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**3 + 2*a**3 - 2*a**3 + (-4 - a + 4)*(0 - 2*a**2 + 0) + 0 + a**3 + 0 - 29*a**3 - 211*a**2 - 1 + 211*a**2.\nAnswer: -23*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10114 * -7.2.\nAnswer: 72820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 350*w**5 + 90*w**4 - 41312*w**3\/7 - 99248*w**2\/7 - 77088*w\/7 - 19360\/7 = 0.\nAnswer: -2, -22\/35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**3 - 19*w**2 + 8*w - 19. Let k be i(-10). Let u(p) = 10*p - 11. Let f be u(k). Sort 12, f, 3 in decreasing order.\nAnswer: 12, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 430*b**4 - 12*b**3 - 12*b**2 - 140. Let w(g) = 172*g**4 - 5*g**3 - 5*g**2 - 56. Let h(u) = 5*k(u) - 12*w(u). What is the derivative of h(d) wrt d?\nAnswer: 344*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -20*v**3 - 3*v**2 + 2*v + 5. Let i be (-178 - -177)\/(3\/(-18)*-3). Give k(i).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = -329 - 67. Suppose 39*n + y = 41*n. Solve -12 = -n*o + 14*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -3035703*b**2\/5 - 6071394*b\/5 + 24\/5 = 0.\nAnswer: -2, 4\/1011901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -30769, -30772, -30775, -30778, -30781?\n\"Answer: -3*b - 30766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - a. Let o = -2732 + 2738. What is the remainder when h(-3) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4610 - -4637. What is the remainder when 3\/2*452\/6 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**2*z**3 - 2*h**2 + 3*h*z + 157*z**3 wrt z?\nAnswer: -6*h**2*z + 942*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -21 - 5*c**2 + 2*c - 5*c + 60 - 41 + 0*c. Let q = -37 + 39. Let o(k) = -6*k**2 - 3*k - 3. Determine q*o(y) - 3*a(y).\nAnswer: 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -b**6\/40 - b**4\/12 + 2*b**2. Find the second derivative of x(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -121 - 167. Let w(b) = b**3 + 8*b**2 + 7*b + 4. Let x be w(-7). Suppose -x*u + g = -0*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*p + 180 = 0. Let w = p - 9. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**2\/9 - 1960*z\/9 + 480200\/9 = 0?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -49281 bigger than -49764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 1061 = r, 8*f - 3*f + 3155 = 3*r. Suppose -227 = -z - 5*j, 4*z = -z + 5*j + r. Suppose z + 28 = 4*d. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 12 = 2*v, 0*h - 4*h + 16 = v. Suppose -5*c - 6*c = -33. Let m = h - c. Solve 4*a = 2*a + 5*b - 1, m*a - 3*b = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 5:00 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.7 - 3.4. Let z = -1.3 + k. Which is the closest to -2?  (a) 0.3  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1545 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 4. Let x(m) = 252*m - 189. Let z be x(1). Suppose -3*s + 3*j + z = 0, 41 = a*s - 2*s - 3*j. Solve -2*b + b - 13 = 3*k, -2*k = 4*b + s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 6*w**3 - 2*w - 1. Let b be q(-1). Let o = 10 + -11. Is (o - -1)\/b + 69 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 234, 386, 462, 462, 386, 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from skqqfeqfqsscse?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xqx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (22 - 8 - 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 26 = -16*x. Suppose -3*t + 80 = x*m, 2*m - 108 = -5*t + 5*m. Calculate the highest common factor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r + 2. Let t(o) = 1. Calculate d(w) - 6*t(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35 - -33 - -25) + 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -1947*o**2 + 15*o - 3. Let c(i) = 1695841*i**2 - 13060*i + 2612. Give -3*c(y) - 2612*m(y).\nAnswer: -1959*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 17331842 divided by -2\nAnswer: -8665921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 29*n - 45*n = -6, 4 = -n + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * 53.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3640.928 millennia in decades?\nAnswer: 364092.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 10. Suppose 3*k - 6 = -2*k - r, l*r + 18 = -k. Suppose 4 = k*t - 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 251193397?\nAnswer: 7, 13, 337, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {v: 4, z: 10, b: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/18  (b) -3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 29, 42, 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/4)\/(q*q*q*q**2\/q*q*q))\/(((q*q\/q**(-5\/3))\/q)\/(q**(-1)\/q)) assuming q is positive.\nAnswer: q**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/21 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -15. Let h = 0 + w. Factor 2*n**h - 5*n + n + 3*n - n**3.\nAnswer: -n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131 (base 4) to base 10\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/4 of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.50561 nanometers to millimeters.\nAnswer: 0.00003750561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 0 - (4 - -4)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 2*s - 5. Let p be g(9). Let j = -64 - p. Calculate the remainder when (2\/(-2))\/((-2)\/18) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4332 - 4332.08292. What is x rounded to three dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*l = -295*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 12, c: 3}. Give prob of picking 3 c and 1 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 59415203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/790 and -56\/205.\nAnswer: 32390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16039?\nAnswer: 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10116\/7587*(-18)\/(-44)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b + 51. Let v be p(12). Suppose 0*q - 3*o - 14 = -4*q, -v = q - 4*o. Sort q, 2, -6, 0.\nAnswer: -6, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -55 and 0.009.\nAnswer: -54.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - 16*b - 18. Let h be u(-13). Let x = 15 + h. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 - 2*d + 3. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - 2)\/(-1*(-1)\/22). Is p at most 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u - 7*u**3 - 10 + u - 6*u**2 - u**3 + 5*u**2 - 5*u**2. Let b(v) = -7*v**3 - 5*v**2 - v - 9. Determine 6*b(n) - 5*k(n).\nAnswer: -2*n**3 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -9*o**2 - 355*o - 240. Give p(-43).\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 + 52. Suppose -n - 3 - 2 = 5*g, 0 = 4*n - 3*g - 26. What is the units digit of x\/4 - n\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c + 26*c = -50. What is the remainder when c is divided by 5\/10 + 13\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 4, -2, 20 in ascending order.\nAnswer: -18, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 134715928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1415 by 283.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 42208301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 2310*u**3 + 5*u**2 - 2304*u**3 - u to z*u + n + p*u**3 + c*u**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3424*c + 2. Let p(b) = -36*b + 814. Let d(w) = -2*w + 44. Let o(z) = 37*d(z) - 2*p(z). What is t(o(n))?\nAnswer: 6848*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 211 = 2*i - 25. What is the remainder when i is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8143428, -8143436, -8143456, -8143494, -8143556, -8143648, -8143776?\nAnswer: -8143946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6298*l + 138602. Calculate o(-22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 3*d = -5, -d - 6 = 4*i - 3*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-2 - 3)) + (10 - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 36  (b) 0.4  (c) -3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k + 3 = 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 - 10*y**2 - 2868*y + 11502. Calculate x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4677 + 4678 + 62*j**2 - j + j - j**3 + 6*j as y*j + b*j**3 + s + a*j**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -0.15, -0.3 in descending order.\nAnswer: 3, -0.15, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32493 is divided by 350?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of k**2\/2 + k + 3. Let o(m) = m + 1. Let r(u) = -6*o(u) - y(u). Calculate the remainder when r(-6) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3452297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 9:27 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**3 - 7*y**2 - 5*y + 7. Suppose 2*j + 50 = -3*j. Let o be ((-6)\/5)\/(j\/(-25)). Let v(b) = b**3 + 4*b**2 + 3*b - 4. Calculate o*q(r) - 5*v(r).\nAnswer: r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, m: 1, d: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + a**2 - a. Let x(i) = 8*i**3 + 49*i**2 + 27*i - 31. Let q(s) = 6*j(s) + x(s). Is q(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + i**3 + 2\/3*i**2 - 1\/3*i.\nAnswer: i*(i + 1)*(3*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3060, 3053, 3042, 3027, 3008, 2985?\nAnswer: 2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47349999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-25 + -1 - (12 + -16 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -375*a = 139*a - 14880 + 2544 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49339?\nAnswer: 49339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 342 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 2378.619 and -0.81 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*r - 35 = -3 + 24. What is the fourth biggest value in 0.046, 0.4, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/24 and -43\/140301.\nAnswer: 1122408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -4 - (-86 + 84)) + -2 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1997, 1921, 1817, 1679, 1501?\n\"Answer: -z**3 - 8*z**2 - 45*z + 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 0.8. Let s = -0.6 - p. Let z = -39 - -274\/7. What is the second smallest value in 2\/7, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -595*s + 8739 = 1096*s - 63974 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q - 232956. Let n(x) = -9*x. Determine n(j(o)).\nAnswer: 18*o + 2096604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 104?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*b - 7 + 12*b + 7 to o + m*b and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*4\/(-28)*1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32733735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 5, -37, -5 in increasing order.\nAnswer: -37, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1287 and 63531?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -4*b + 2*b + 12, -248*b + 423*z - 24 = -246*b + 428*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 440 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 58 = -29*r - 11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of 1423*d**5\/20 - 11*d**4\/4 + d**2 + 38*d + 4. What is the third derivative of m(s) wrt s?\nAnswer: 8538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/(-6)*12\/(306\/51).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3003082960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**3 - 15*d**2 - 18*d + 32 = 0.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/127, -3.4, 4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44673 - 31784. Suppose -u = 151*x - 152*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(99) - ((sqrt(99) - (-2*sqrt(99) - sqrt(99)))*-3 + sqrt(99) - sqrt(99))) + 5)*2 + -1)**2 + -4.\nAnswer: 624*sqrt(11) + 66936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - f. Let d(h) = -3*h**4 - 3*h**3 + 10*h**2 + 4*h. Let b(n) = d(n) + 4*o(n). Factor b(a).\nAnswer: -3*a**2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 282 = -4*y, -4*y - 29 = -4*q + 339. Is q less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -4, 11, -12, 1, -644 in ascending order.\nAnswer: -644, -12, -4, 1, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 253 and 66?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 - 8. Suppose -9*g + 35 = -4*g. Solve -g + j = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-204)\/(-28560) + (-30)\/200)\/(36\/(-14) - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*-3*(-1*(sqrt(1100) - sqrt(1100)*-1) - (sqrt(1100) + sqrt(1100)*3*-1)**2)*-4.\nAnswer: 720*sqrt(11) + 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*i - 166*i**2 + 21*i + 171*i**2.\nAnswer: 5*i*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 3*s - 3. Let x be u(5). Let d = x - -86. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 183*m. Let q(c) = -225*c + 375. Let r(u) = 2*u - 3. Let x(w) = q(w) + 125*r(w). Calculate x(f(s)).\nAnswer: -25*s**2 + 4575*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3939 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: Which is smaller: -68177737 or -1\/2?\nAnswer: -68177737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-10)*1399\/4197*(-6)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n = -14*n + 3*p + 4, -20 = -5*n - 5*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*a = 123*a - 252*a + 2260 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -18*f**2 - 455*f + 346. Calculate s(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -13 times -720\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 2*s**2 + s - 2. Let h be x(2). Let u be (11\/(-2))\/(105\/(-100) + 1). Suppose 0 = -4*f + 2*p + u, -5*f = -h*p - 2*p - 135. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2 = 2*a, 4*a - 17 = -a - 3*u. Let z = a - -2. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-1)\/2*6\/(-48)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 15 = 3*y, 2*y - 8 - 2 = -z. Let t = 0.104 + 0.296. Which is the nearest to -0.2?  (a) t  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 3*t + 5*l - 22, t - 8 = -l. Suppose 0 = t*p - 91 + 31. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/873510 and -79\/330.\nAnswer: 873510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 3522306?\nAnswer: 31700754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d - 17. Let x be i(7). Suppose -189 = -5*u + x*u. Let r be (-1)\/(-4) + 83\/4. Calculate the highest common factor of u and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16891789, 33783578, 50675367?\nAnswer: 67567156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 8*p**2 + 1. Calculate l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 203522 - 64843. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -10 + 3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2473153676?\nAnswer: 2, 7, 17, 742243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -30 + 10. Suppose 0 = a - 0*y + y, -5*a - y + 6*y = 0. Sort x, -3, a, 10 in ascending order.\nAnswer: x, -3, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*y**4 + y**4 + 18*y**4)*(1 + 3 + 2 + (5 - 2 - 1)*(0 - 4 + 5)).\nAnswer: 360*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-5 + (756\/(-49))\/(-3))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of 1359*o**5\/5 + o**2 - 628*o - 2055. Find the second derivative of v(t) wrt t.\nAnswer: 16308*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 9*v**2 + 6*v + 2. Let r be a(-3). Differentiate 55*g + 56 - r + 132 wrt g.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -61173?\nAnswer: -61175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6138\/(-55)*710\/(-852).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101963, 101962, 101961, 101960, 101959?\nAnswer: 101958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -64 + 67. Suppose m*i = -o - o + 6855, i + 10299 = 3*o. Let z = o - 655510\/191. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -3. Suppose f*a = 3*b + 657, 3 = b - 1. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 154.995 - -0.005. Let f = -170 + o. What is the biggest value in 2, -1\/3, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 691 and -526.7076508?\nAnswer: 1217.7076508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 1 + 5. Let s be -1 + d\/3 + 2. List the prime factors of (-150)\/(-14) - s\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25 - 6549324?\nAnswer: -6549349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 5*f**5 - 5*f**4 - 3*f**3 + 3*f**2. Let n(r) = -35*r**5 + 35*r**4 + 20*r**3 - 20*r**2. Let b(c) = 20*l(c) + 3*n(c). Factor b(y).\nAnswer: -5*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 0*y + 0*y)*(y + 3*y - 2*y) - 3*y**3 + y**3 - 4*y**3 + (y - 2*y + 2*y)*(-7*y**2 + 5*y**2 - 5*y**2) + 0*y**3 + 2*y**3 + 4*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -18. Let o be (-10)\/15 + 0 + 460\/330. Find k, given that -1\/11*k**5 + o*k**4 - 24\/11*k**3 + 0 - 16\/11*k + 32\/11*k**n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2656, -2498, -2236, -1870, -1400, -826, -148?\n\"Answer: 52*f**2 + 2*f - 2710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 277959195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21011122 (base 3) to base 10.\nAnswer: 5228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 3:07 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4202723?\nAnswer: 7, 17, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**2 - 24800*m + 24795.\nAnswer: 5*(m - 4959)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110877 or -1441408\/13?\nAnswer: -1441408\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 1. Let j be r(2). Let o(a) = j*a - 4*a - a. Let l be ((-4)\/6)\/(32\/(-144)). Determine o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 6 - 3. Let n = 0.06 + 0.44. Which is the closest to -1\/2?  (a) n  (b) t  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6*t + 1. Let w(r) = -17*r - 3. Let h(u) = -8*f(u) - 3*w(u). Suppose 0 = -4*i + 2*i + 10. Is h(i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 - ((-15 - 29) + 188)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.77 - -3.17. Which is the nearest to -1?  (a) -2  (b) 4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ej when two letters picked without replacement from ffdxlffdfjlflffe?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o. Let l be 6\/(-2) - (7 - (-1 - -12)). Let i(p) = 163*p**2 + 5*p - 15. Let f(q) = q - 3. Let x(w) = l*i(w) - 5*f(w). Determine j(x(a)).\nAnswer: -163*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -68. Let j = -19 + z. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -12. Let p be z\/12 - (2 - -1). Let s = p + 8. Which is the smallest value?  (a) s  (b) -1\/5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-5 + 7))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4723*n + 8209*n - 16373*n to z*n + f and give z.\nAnswer: -3441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/6  (b) 2\/11  (c) -0.1  (d) 0.4  (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 - (-163 - -104 - 55).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -5, -1\/2, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 353 a factor of 12742937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-86)\/112*-7)\/(((30\/48)\/5)\/1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -7*b**2 + 10*b - 12. Let j be t(5). Let r = 251 + j. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -s**3\/3 - 3*s**2\/2 + 3*s. Let p be i(-2). Solve -3*d + p = -8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*a + 6 = 0. Let x(y) = -y. Let l(i) = 6*i. Let k(f) = -l(f) - 5*x(f). Let z be k(1). Is a at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 4*f - 1885. Give x(-46).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1141*q + 28*q + 130*q as i + b*q and give b.\nAnswer: 1299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -215 - -295. Calculate the smallest common multiple of d and 140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.10144806 + 96.10152106. Let d = 109.1 - 13.1. Let l = x - d. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 24*j - 8. Let q(y) = 25*y - 9. Let c(k) = -3*i(k) + 2*q(k). What is the first derivative of c(u) wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 + -22. Solve -f*l = -l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 5*g - 14*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -112 != 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k = -47*k - 31 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14b4b9 (base 12) to base 2.\nAnswer: 1010101110100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4694538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = a - 3*k, 176*k - 178*k - 20 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 381400476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h + 0*h + 4*h + 2. Let a be (-2)\/8 - 3\/(-12). Let i be k(a). Solve -1 - 1 = i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 5586711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 428 + 424 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 30*f**2 - 53*f - 14. What is o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 1. Let m be (-2)\/(-3) + ((-5)\/3 - -2). Let a = 3 + -6. Let t(k) = 2*k**3 - 3*k**2 + k - 3. Give a*p(w) + m*t(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 4*o. Let f(k) = 17*k + 31. Let z(y) = -6*y - 11. Let b(s) = 3*f(s) + 8*z(s). What is b(x(d))?\nAnswer: 12*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 8*l + 10. Let h be g(7). Let m be -2 - (-716)\/330 - h\/15. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3, -1, -5.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1479 a factor of 26363674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*g - g + 5*g)*(-9 + 1 - 30*g + 29*g) to the form w*g + c + l*g**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-10)\/(-390)*13)\/(14\/(-4)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 177545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*i, -5*j - 12 = 5*i - 102. Let r be (5\/2)\/(4\/8). Solve 3*c = j, 0 = r*w - 3*c - 11 + 26 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.17546 from -49.5.\nAnswer: -49.67546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 * -117.\nAnswer: 210.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5103) + sqrt(5103)*-2 - (sqrt(28)\/(sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(64))) + sqrt(7) + sqrt(7)*-1 + 5))**2.\nAnswer: 268*sqrt(7) + 126317\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -59 - -81 - (11 + -11 + -61)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15*3\/(-468) - 10\/65. Let w be (30\/35)\/(1 + 1). Which is the third smallest value?  (a) w  (b) h  (c) -3\/4  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*j**5*r - 11343*j**4*r + 15*j - 353*r - 3 wrt j?\nAnswer: 60*j**3*r - 136116*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 0.05, -43\/8 in decreasing order.\nAnswer: 18, 0.05, -43\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2)\/(-7*11\/(-154)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1336\/74 - 760\/14060\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -3. Let w = 8 - z. Suppose -5*u = 3*o - w - 35, -15 = -3*u. Solve 4*s - 3*m - 32 = 0, -o = 3*s + 5*m - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40787*38.25\nAnswer: 1560102.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -68*m + 2 - 7*m**3 + 73*m + 0 in the form y*m**2 + t*m**3 + a*m + k and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.031 + 0.069. Which is the closest to h?  (a) 37  (b) 4  (c) -2\/3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 66 = -3*f, 0 = f - 2*h + 3 - 21. Let l be (2\/(-4))\/((-2)\/(-8)). Let d be (l\/4)\/(-1)*10. Solve 12 = -3*c, -d*p = -5*c - 1 - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -277\/87 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15, 2, -1\/7, 25, 96, -0.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f**2 + 11*f + 67. Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*k = -30. Let v be (-3)\/(-9) + 32\/k. Let g(x) = 2*x**2 + 6*x + 4. List the prime factors of g(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-783)\/(-66) + (-42)\/(-35)*15*46\/(-69)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 517035 + -4136277\/8. Let f be (-4)\/10 + 37\/5. What is the closest to 0 in f, -3\/13, -1\/4, r?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 h, and 1 c when four letters picked without replacement from {c: 1, h: 4, r: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((85\/(39950\/(-141)))\/(1\/26))\/(2\/(-10)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 21 - -28 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2275619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -r - 48. What is the units digit of 15\/r - 3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1960066320.\nAnswer: 2, 3, 5, 8166943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - l = 79, i - 3*l - 8 = i - 11*l - 12*l + 12 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -48.8 - -45. Let x = 3.5 + z. Let a = -9.8 - x. What is a rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1617487 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vxxqqmxcmrxv. Give prob of sequence xcvm.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5f (base 16) to base 4.\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3598\/32325 - -8\/75. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 139, -5, -45, -4, 45 in ascending order.\nAnswer: -45, -5, -4, 45, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 22122510 (base 6) in base 14?\nAnswer: 13408a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -139*n**3 - 2*n**2 - n - 4. Let y be j(-3). Suppose -4*f - 20 = 0, y = 3*p + 5*f - 2688. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 3 - 101 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 15 + 11)*(0*y**3 + 4*y**3 - y**3) to v*y**2 + d*y**3 + l + x*y and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*l + 199*l - 1576944 = 0. Calculate the greatest common factor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-4)*4\/80*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - i + 56. Let k be (-1)\/7 + (-108)\/(-21). Suppose 0 = t - 4*s + 4 - 3, k*t - s = i. Solve -5*c + 6*w = w + 5, -4*w = -t*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 0 - 1\/12*n**4 + 0*n**3 + 0*n + 25*n**2. Let d(o) = o + 0 + 0. What is d(r(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 25*z**2 + 320*z - 69. Calculate y(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -n**5\/60 + 7*n**4\/24 - 7*n**3\/6 - 2*n**2. Let z be m(5). Suppose 2*f = z*f - 7. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/42*(-210)\/(-180).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -153440 - -2601?\nAnswer: -150536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 + -69. Let o(c) = -c**3 + c**2 + 2*c - 3. Let p be o(-4). Let j = p + y. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 6*j**2 - 190*j - 926. Determine l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -1) + (-2 - 8) + -4 - -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - 24*m + 3. Suppose 5*f - 20 = 0, -5*f + 12 = -2*d + 32. Let q be o(d). Let t = 90 + q. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2055136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -6. Calculate the common denominator of ((-254)\/b)\/(15\/10) and -83\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38292 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6ec1 (base 16) in base 13?\nAnswer: -cba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.4  (b) 1\/2  (c) 3  (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 6*y - 2. Let p be u(1). Suppose -2*a = -p*a + 4. Let t(b) = -7 + 0*b**2 + 7 - 2*b**a. Let i(v) = 11*v. Determine t(i(w)).\nAnswer: -242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7268 divided by 45949\nAnswer: 7268\/45949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2*o - 5)*(-51 - 11*o + 51) - 7*o**2 - 6 + 6 + 2 - 4 - 1 - o**2.\nAnswer: -30*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3\/418?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/4)\/w*w)**(3\/19)\/(w**(6\/11)*w**(1\/8))*(w*w\/(w**(2\/5)\/w)*w)**39*(w*w**(-1\/3))**47 assuming w is positive.\nAnswer: w**(4291247\/25080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - g + 195, 296 = -5*f + 3*g + 91. Let c = -39 - f. Is 15\/62 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 638516.228 rounded to the nearest ten?\nAnswer: 638520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -46203 plus 0.360872?\nAnswer: -46202.639128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-15))\/(-168 - -166). Let r(q) be the first derivative of y*q**4 + 0*q - 8 - 2\/15*q**2 + 2\/75*q**5 - 2\/45*q**3. Factor r(i).\nAnswer: 2*i*(i - 1)*(i + 1)*(i + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3794*y**2 + 2012*y wrt y.\nAnswer: 7588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from fxfxrrfrrrfxr.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 253*p**2 + 12*p. Let z(g) = 135356*g**2 + 6422*g. Determine -3211*s(a) + 6*z(a).\nAnswer: -247*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 179807031*w**6 + w**2 - 1810614*w wrt w.\nAnswer: 21576843720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 (base 14) in base 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -432*o**2. Let v(t) = -242109*t**2. Determine m(v(z)).\nAnswer: -25322443724592*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - j - 2. Let h be i(-2). Let a(z) = -4*z + 2. What is the tens digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 6*a**2 - a + 2. Let u be q(6). Let t be (-2)\/u*(5 + -3). Let w(p) = -t + 0*p + 0 - p - p. Determine w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z**2 + 15*z - 38. List the prime factors of x(-14).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2148 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -112313\/10 + 11242. Suppose -2*g = -3*f - 195, -5*g = -4*f + 145 - 629. What is the common denominator of p and 602\/g - 1\/3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5437 + 2?\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1580*v**3 - 115*v + 115*v.\nAnswer: 1580*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 161, 164, 165, 164, 161, 156, 149?\n\"Answer: -f**2 + 6*f + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + -2 - (-3)\/1. Suppose -7 = -5*l + 8. Let s be (l - -1) + (-8)\/(-4). Solve 9 + s = -u*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664650 (base 7) in base 11?\nAnswer: 7a958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 21, 5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003782 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12731322 - 2?\nAnswer: -12731324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 - -32623401?\nAnswer: 32623416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of u**6\/30 + 371*u**4\/3 - 1543*u**3\/3 - 9*u - 1. What is the second derivative of k(h) wrt h?\nAnswer: 12*h**2 + 2968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-238))\/((-2)\/4)*2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 13 = -3*a, x - 5 = -2*a + 3. Let r = x - -2. Solve 0 = -r*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**25\/(u*u**23)*(u\/u**(3\/5)*u)\/u**(2\/19) assuming u is positive.\nAnswer: u**(218\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1239396.9 to the nearest 100.\nAnswer: -1239400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 31601 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 169772050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38189488*j**5 + j**4 + 9496348*j**2 - 1?\nAnswer: -2291369280*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**4 + 148*n**3 + 2976*n**2 + 17100*n + 28350 = 0.\nAnswer: -45, -21, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 28. Let l = 1 - z. Which is greater: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165\/(-135) + 4\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2532 and 3?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 4*q - 10 + 12 = 0, 3*q = i + 21. Let b(o) be the second derivative of 1\/2*o**2 + 5\/6*o**3 + 0 - 2*o + 1\/12*o**4. Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 525.908 + -526. What is b rounded to 3 decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*t - 2 = 0. Suppose -5*l + t*l + 8 = 5*h, 2*l - h = 14. Suppose -l*y + 10*y = 20. Solve 0 = 3*p - y - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 11*t**2 - 7*t - 12. Let u be c(12). Suppose -u = -4*b - l + 18, -3*l - 23 = -b. Calculate the remainder when 84 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 + t + t - 3*t - 2*t + (0*t - 2*t + t)*(-1 + 2 + 0) + 4*t - 5*t - t + (2*t + 7*t + t)*(0 + 2 - 1) as n*t + w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 23 = -1. Let k be (-4)\/10 + (-24)\/15. Sort 4, c, k in decreasing order.\nAnswer: 4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 355 - (2\/4)\/((-3)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-336)\/((78\/(-10) - -8)\/(-1)). What is the highest common divisor of 70 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of 2*a**6\/15 + 12*a**5\/5 + 46*a**4\/3 + 40*a**3 + 50*a**2 + 43*a. Factor j(w).\nAnswer: 4*(w + 1)**2*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5*s - 70 = 0, 2*q + 5*s - 6 = q. Suppose -248*h - 30*h = -2780. Calculate the remainder when 0\/(-2) + q\/(-1) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 226 + -153. Calculate the smallest common multiple of 11 and f.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 92*v - 87*v - 45 = 0, 4*f + 0 = -4*v - 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -1. Let r be 66\/189 + 4\/18. Which is the second biggest value?  (a) -6  (b) r  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r**2 + 6*r - 1. Let p(n) = -n**2 + 6*n. Let w(i) = 4*p(i) - 3*y(i). Calculate the smallest common multiple of 1 and w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**2 + 4*d**2 + d**2 - 8*d = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2\/13, -0.01, 1\/4, -3.\nAnswer: -3, -0.01, 2\/13, 1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31.9 - -32. What is the closest to 0.1 in a, -1\/3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21500 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i = -100. Let l be i\/25 + (-12)\/(-10). Suppose -2*c + 321 = 3*c - l*b, -2*c + 4*b + 138 = 0. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 + -7. Suppose o = -2*w + 5*w + b, -w + 15 = -5*b. What is the second derivative of -2*u**2 - u - 2*u + w*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 6 = 2*i. Suppose -l - 2 = w - 4*l, 3*w + i*l - 6 = 0. Solve -w = 2*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -12388*o + 3327. Is t(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34501 (base 6) to base 13\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -16*x + 156. Let k(z) = 2*z - 1. Give -i(h) - 5*k(h).\nAnswer: 6*h - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + 14)*-23 - (-387 + 379)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43084*i**2*t**3 + 203*i**2 - 8*i*t**2 wrt t?\nAnswer: -258504*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2858876, -2858877, -2858878?\nAnswer: -2858879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/20)\/(7 + -8) + (-171)\/342.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1110271931179+-472\nAnswer: -1110271931651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((((sqrt(220) - (sqrt(220)*2 - sqrt(220)))\/sqrt(4))\/((sqrt(125) - sqrt(5))*4) + -2)*-3)**2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13613 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 t when four letters picked without replacement from {z: 3, k: 1, t: 3, s: 1, y: 5, f: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -6, -3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + 0\/((-1)\/(-1)). Let a(g) = 8*g**2 + 3*g - 2. Let t be a(1). Solve u*c - t = -34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 = 2*v, 0 = -3*l - 3*v + 2*v + 3. Let t(s) = l + s + s + s. Calculate the remainder when 37 is divided by t(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 0. Suppose n = -3*n + 16. Sort n, -4, m in descending order.\nAnswer: n, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmuufumnmoufnfouumnf. What is prob of sequence mu?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1006956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 5*h - 9*h)*(-4*h**2 + 3*h**2 + 2*h**2).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 374 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*x, -2*x + 12 = 3*b - x. Find the first derivative of -5*j + j - 21*j**b - 42 + 6*j wrt j.\nAnswer: -63*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 + 13*x - 36. Let o be s(4). Solve c = -n + 5*n + 1, 5*n + 4*c - 25 = o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001264 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3. Let n(b) = -b + 5. Let i(a) = 7*j(a) + 4*n(a). Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.063324 millilitres?\nAnswer: 0.007063324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3180571?\nAnswer: 373, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**5\/40 - 13*n**4\/12 - 265*n**3\/12 - 119*n**2\/2 + 11*n + 8. Factor y(s).\nAnswer: (s - 34)*(s + 1)*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f - 132 + 17*f - 9*f - 2*f - 2*f.\nAnswer: -f - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (78\/(-65))\/((-4)\/(-665)). Let z = c + 198. Is 0.3 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2863*l**3*p**2 - 23*l**2*p**2 + 2*p**2 - 32*p + 5329 wrt l?\nAnswer: -8589*l**2*p**2 - 46*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -1054*f**3 + 2*f**2 - f. Let l be o(-2). Does 9 divide l\/105 + (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 2:09 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*o + 56*o + 25*o - 19*o - 1 + 3*o + 1 - 4 + 4 - 2*o + (3 + 1 - 2)*(2 - 2 - o).\nAnswer: 59*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2309\/(-9 - 30120\/(-3345)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -9, 0.5, 1\/19, -1\/2, -5 in descending order.\nAnswer: 0.5, 1\/19, -1\/4, -1\/2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76848904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 68 = t - 0*d, 169 = 3*t + 4*d. What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/33*4\/(-10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15631 = 19*b + 10*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - r - 1. Let l(g) = 9 - 4*g**2 + 2*g**2 + 0 - g**2 + 5*g. Calculate l(y) + 5*u(y).\nAnswer: 2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (12\/(-5) + 2). Let k = -0.027 + 0.327. What is the closest to w in 4, -3\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -45*u + 228. What is d(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 33.1. Put -1.5, d, -1\/3 in decreasing order.\nAnswer: d, -1\/3, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a - 33*a = 0. Let y(s) be the third derivative of 8\/15*s**3 - 1\/75*s**5 + 0 - 1\/300*s**6 + 1\/15*s**4 + 2*s**2 + a*s. Factor y(b).\nAnswer: -2*(b - 2)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60955, -121920, -182903, -243910, -304947, -366020, -427135, -488298?\nAnswer: -549515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29\/6 + -107\/24. What is the second smallest value in -0.8, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11427805 (base 10) to base 16.\nAnswer: -ae5fdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of l**5\/20 + l**4\/12 + l**3\/6 + 5*l**2 - 6*l - 3. Let s(v) be the first derivative of i(v). What is s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/4)\/((-2)\/44). Suppose -2*j + 22 = -a, 14*j - 10*j + 3*a - 64 = 0. Suppose z*u - j*u = -80. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1064)\/(-98)*7)\/(68\/(-51))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 8 = n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -33*h - 4495. What is b(-125)?\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 0.3, 4981\/5.\nAnswer: -0.05, 0.3, 4981\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 216 (base 8) in base 12?\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*n**4 - 11*n**3 - 42 + 14*n**2 + 3*n**3 + 6*n**3 + 42 wrt n?\nAnswer: -96*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-7)\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 3)*(s**2 + 0 + 0) - 3*s**2 + 0*s**2 + s**2 + 6 + 4*s**2 - 6.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3\/3 + 188*w**2\/3 + 1324*w + 1260.\nAnswer: -4*(w - 63)*(w + 1)*(w + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7805*p**2 - 7805*p**2 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*x**2 - 26*x + 174 wrt x.\nAnswer: 6*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 6*b + 5. Let t be a(6). Suppose 2*z - 40 = 5*u, t*z - 19 = -u - 0. Suppose 2*j + 5*k = 0, 0*k - k + 2 = 0. Is j not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 151, 132, 103, 64, 15, -44, -113?\n\"Answer: -5*j**2 - 4*j + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 288 = 12*i. What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11258, -22590, -33990, -45458, -56994?\nAnswer: -68598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(24\/(-2571))*-2. Let b = -2057 - n. Let r = 1709 + b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 8:24 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -262094113 to the nearest ten thousand.\nAnswer: -262090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 15*n - 217. Let r be q(-24). Sort -4, r, -8, -120 in decreasing order.\nAnswer: r, -4, -8, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 9*r**2 - 10*r + 14. Let b be g(10). Let k = b + -6. Calculate the lowest common multiple of k and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-5)*3\/6 + -2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -s**4 + 235257*s**3 - 285188 wrt s.\nAnswer: -4*s**3 + 705771*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -20 - 15. Let q = o + -5. Suppose 16 = 4*y + 4. Solve -3*b = 12, -2*u + y*b = q*u - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*s + 774 = -386. Let q(m) = -m - 32. Give q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -3*h**4\/2 + 29*h. Let s(x) = x. What is f(s(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (32\/(-408))\/(2\/(-3)). Factor 2\/17*u**3 - 4\/17*u**2 + q*u + 0.\nAnswer: 2*u*(u - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2303)\/(-3948)*6\/469?\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = -18*u + 36 - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + t + 8 = 0, 0 = 2*i - 3*t - 0 + 2. Suppose 0 = -4*o + i*y + 10, o + 2*y = -o + 8. Suppose 169 = f - 4*z, 0*f - 462 = -3*f + o*z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**5 - 140*n**4 + 536*n**3 - 528*n**2.\nAnswer: 2*n**2*(n - 66)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6966\/413 or 16?\nAnswer: 6966\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, w: 1, i: 6, h: 8, m: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/120 + -2*10\/(-275).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {s: 13, f: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnjnnnjnnnjjnjnjg?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (12\/18)\/(2\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 4*sqrt(76)*-1)\/(sqrt(4) + -2*sqrt(4)*-4 - sqrt(4)))**2.\nAnswer: 171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-3*(-3 + -1 + sqrt(704) + sqrt(704)) + 6*(-3*(sqrt(704) + 0 - sqrt(704) - sqrt(704)) + 0 + sqrt(704) + 1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*c + 0 + 0)*(1 - 1 - c) - c + c - c**2 + 2*c**2 + 0*c**2 - c**2 + (-2 + c + 2)*(4*c - 7*c - 8*c) + 2*c**2 - 2*c**2 - 2*c**2)*(-6 - c**2 - 15 + 24).\nAnswer: 11*c**4 - 33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**2. Let d(k) = -1112622893*k. Give y(d(h)).\nAnswer: -3713789106083068347*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + -1 + 1)) + (-1 + sqrt(208))*-3 + sqrt(208).\nAnswer: -8*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -4*(3 + sqrt(28)) + 2)**2.\nAnswer: 240*sqrt(7) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, -2\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44728?\nAnswer: 2, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 - 10. Suppose 3*v + 33 = -4*z, -5*z + 2*v - j = -3*z. Let u = z - -27. What is the greatest common factor of 144 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9808 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2\/4 - 49209*b\/4 - 49211\/2 = 0. What is b?\nAnswer: -2, 49211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of b**3\/3 - 8*b. Let i(q) = -q. Determine a(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4bca (base 13) to base 4\nAnswer: -2220331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 2*sqrt(76)*4)\/(-1*sqrt(18)))\/(-1*sqrt(32) + (sqrt(56)\/sqrt(4))\/sqrt(7)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5776*37.6.\nAnswer: -217177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(3\/2)\/c*c\/c**2*c)**(-46) assuming c is positive.\nAnswer: c**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 410*c**4 - 3*c**3 + 108. Let b(n) = -818*n**4 + 5*n**3 - n - 217. Let o(t) = 3*b(t) + 5*g(t). Find the second derivative of o(i) wrt i.\nAnswer: -4848*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5929128*f*m**3 - 5210642*f*m**2 wrt m.\nAnswer: 35574768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 290.82?\nAnswer: 1163.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2232*z - 1708*z**2 - 2240*z - 184*z**2.\nAnswer: -1892*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/69 and 49\/237.\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/4)\/(3*(-2)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -126 + 137. Solve p = 3*l - 4*l + 5*v, -l = 4*v - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-16))\/(-3)*(-720)\/(-40)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1d4345a (base 14) to base 7\nAnswer: 235545343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 1, 0, 78 in ascending order.\nAnswer: -11, 0, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-9\/7)*p**(-4)*p)**(-17) assuming p is positive.\nAnswer: p**(510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (592\/111)\/((32\/(-84))\/(6\/(-7)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 107*o - 26*o + 148*o - 9*o in the form b*o + i and give b.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2106060741?\nAnswer: 3, 47, 4978867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452*v = 54*v + 7084 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -35, -110, -217, -356, -527, -730, -965?\n\"Answer: -16*q**2 - 27*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4138 + 2a47?\nAnswer: 7084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 19209*b + 1. Give y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 640 is divided by 99?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (95\/15 + -3)*30. What is the highest common divisor of 40 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/83, -476, 1666?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (2 - (-5)\/4) + 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.08*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 69256 * 0.5\nAnswer: 34628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3*o + 2. Let s(m) = 13*m - 1. Let w(d) = 6*d - 1. Let t(n) = -2*s(n) + 5*w(n). Let q be (40\/12)\/((-2)\/(-3)). What is q*r(b) + 4*t(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*(a*a\/(a*a**(-2\/69)*a)*a)\/a*a*a*a**35)**(2\/71) assuming a is positive.\nAnswer: a**(5386\/4899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -1 + 0 + 158*l - 7 + 0. What are the prime factors of c(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1391500 and 8880.\nAnswer: 617826000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 5820419.\nAnswer: -1164083.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 6:45 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 + 152 = 3*o. Suppose 54 = 2*d - o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8637.846 nanoseconds?\nAnswer: 0.008637846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.4, 739\/16, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.17*-1605\nAnswer: 272.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 6*c**2. Suppose -3*f - 1 = w, -5*w = -3*f - 12 - 1. Let h(b) = 2*b**2 - 7 + 5 + w. Give h(v(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40396?\nAnswer: 2, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -443880 (base 12) to base 8\nAnswer: -4106440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2813*x + 2813*x - 6*x**4 - 181*x**2 + (x**3 + x**3 + 0*x**3)*(-x + 4 - 4).\nAnswer: -8*x**4 - 181*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 - (0 - 22) - -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7041, -14523, -22005, -29487, -36969?\n\"Answer: -7482*s + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**3 - 794*n**2 - 791*n**2 + 1583*n**2 + 2*n + 2 to the form p*n**2 + l*n**3 + g*n + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.121 at most as big as 1.3019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -b - 12. Let p be b\/(-13) + (-259)\/(-91). Suppose 0 = -3*a + i + 220, 0 = 2*a + a + p*i - 240. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 98251851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 7*a - 20 = 0. Sort 3, a, -3 in ascending order.\nAnswer: a, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-20 - (-10 + 2)) - -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 900 and 12888.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -37, -83, -147, -229, -329, -447?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - (0 + -1) - -10. Suppose t*n = 4*n + 36. Solve 4*j - 7*j + n = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -989737, -989719, -989695, -989659, -989605, -989527, -989419, -989275?\nAnswer: -989089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2407, 2404, 2401?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 37 = -10*z. What is the second derivative of 9*f**2 - f + 8*f + 5 - 4*f - f**z wrt f?\nAnswer: -6*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6*1*(-1)\/2. Suppose 8*f + 33 = -r*f. Is (f\/(-2))\/((-33)\/(-13882)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*j**2 + 5*j**2 - 2 + 1 - 17*j**2.\nAnswer: -31*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12102201 (base 3) in base 9?\nAnswer: -5381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7042, 6846, 6650, 6454, 6258, 6062?\nAnswer: 5866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -30, -49, -88, -153?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 997 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22 - -21) + (-1)\/(-2)*2. Suppose m = 300*b - 304*b + 744. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 15. Suppose 2*o = -0*o + 12. Let a be y(o). What is the remainder when 4 is divided by (-2)\/3*a\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/2)\/((2*(-9)\/18)\/(-2)). What is the closest to 0.2 in 8, -0.4, 4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -32. Let b = d - -24. Calculate the smallest common multiple of 4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v. Let s be j(3). Let a(f) = 4*f - 21. Let p be a(s). Calculate the remainder when 38\/p - 4\/(-12) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27595*x = 27619*x + 72 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 174\/(-54) - 6\/(-27). Do -28\/17 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2 = -6. Let u(m) = 21*m**3 + 8*m**2 + 3*m - 8. Let v(k) = -37*k**3 - 14*k**2 - 5*k + 14. Let x(q) = -7*u(q) - 4*v(q). Give x(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19663495*b**4 - 4378*b**2 - 5032 wrt b.\nAnswer: 471923880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 245648320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*p + 4*p - 9*p)*(19 - 17*p - 19)*(-13 - 83 - 20 + 1).\nAnswer: -33235*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 17. Let r be 6\/(-8) - (-62)\/8. What is the units digit of m(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17\/2?  (a) -5\/8  (b) 1  (c) 0  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1046 = n - 1044, -4*n = -4*s + 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 138329 or 138345?\nAnswer: 138329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -411?  (a) 1  (b) 3\/8  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -n**4\/12 - n**3\/6 - 648*n**2. Let b = -1 + 6. Let x(z) = 2*z + 1. Determine b*x(r) + 4*m(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 437.4 + -437. What is the closest to -3 in 7, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.085673173847 and 1.\nAnswer: 1.085673173847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) + 806\/4 + 3. Let p be k - (3 - (3 + 1)). Let l = p - 41. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25, -55, -89, -127, -169, -215, -265?\n\"Answer: -2*n**2 - 24*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttvvtttvmutu. What is prob of picking 1 t and 1 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 + 2*i**4 - 2*i**4 + (4*i - 4*i + i**2)*(21*i**2 - 39 + 39).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4976 or 3241?\nAnswer: 3241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -p + 3*d - 12, 4*d - 2 = 3*p. Suppose 21*j = 23*j + 2*l - 98, -5*l + 198 = 4*j. What is the remainder when j is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 10003 - 2173. Let w = 7082 - a. Let c = w - -16352. Round c to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 + 48. Let a(c) = 5*c**2 - 9. Let j(i) = 21*i**2 - 35. Let y(w) = v*a(w) - 2*j(w). Differentiate y(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -12*d**2. Let q(o) = 351*o + 2. What is n(q(l))?\nAnswer: -1478412*l**2 - 16848*l - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1149*m = 299*m - 22950 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3840 and 8.2?\nAnswer: -31488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 303, 1, -2, -5, 0.\nAnswer: -5, -2, 0, 1, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 252671828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -28*r**5 - 1028*r**4 - 4452*r**3 - 7468*r**2 - 5552*r - 1536 = 0?\nAnswer: -32, -12\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 164877301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-3)*6\/(-4). Let l = -1.985 - 0.015. Which is the third biggest value?  (a) l  (b) -4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -6*z + 46. Let b be c(5). What is the greatest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 93\/7 + -451\/35. Let b(f) be the first derivative of -2 - 2*f + 0*f**4 + g*f**5 + 0*f**2 + 0*f**3. Differentiate b(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*i + 416 = 154*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 165919 - 165919 + 2*r. Let i(v) = -496*v**2. What is w(i(o))?\nAnswer: -992*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - l + 25 = 0, 0 = -3*a + l - 6 + 35. Let n = a - -36. What is the third derivative of -21*g**2 + 76*g**5 - g**2 - n*g**5 wrt g?\nAnswer: 1860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, b: 3}. What is prob of sequence bbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y**3 - 3 - 169801*y**2 - 48*y + 169801*y**2.\nAnswer: -6*y**3 - 48*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4194 - 3182. Calculate the greatest common factor of g and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 333 and 9879.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 - c + 5. Let i(h) be the second derivative of -h**4\/3 + h**3\/6 - 3*h**2 + 4*h. What is 5*i(k) + 6*o(k)?\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7)\/(t\/t**(-1\/15)))**(1\/22)\/(t**(2\/3)\/(t*t\/((t**(2\/3)\/t)\/t)*t*t)*(t\/(t\/((t**(2\/9)*t)\/t)))\/t**(-3\/7)) assuming t is positive.\nAnswer: t**(2299\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 221 + -209. Calculate the remainder when 59 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -2\/3  (b) 2\/3  (c) 2.416  (d) -1  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72906 + 72906 + 1522*h**2.\nAnswer: 1522*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 - -58. Suppose 0 = 2*x + 33 + 15. Let w be 2\/8 + 14\/x. Which is the biggest value?  (a) j  (b) w  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -624275.\nAnswer: 2\/624275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 176 * 0.4.\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0759 + 0.071. What is c rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1994069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76747 + -4.\nAnswer: -76751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 34 - -26) + -18\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 7. Suppose -2*f - s = -4*x - 17, 0 = -f + 3*x + 5. Sort 2, f, -4 in increasing order.\nAnswer: -4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-15)\/(-9)*1. Let u be -2 - (-60)\/(y + -3). Let w = u - 138\/5. Which is the third biggest value?  (a) w  (b) -4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*s**2 - 71*s**2 - 2 + 26*s + 9*s**2 + 23*s**2 + 3.\nAnswer: -27*s**2 + 26*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 61, 60, 59, 58?\n\"Answer: -b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(68) + -5*(3 + sqrt(68)) - (1 + sqrt(68) + -4)))**2.\nAnswer: 240*sqrt(17) + 1844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.075003 micrograms in tonnes?\nAnswer: 0.000000000000075003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10 - -66)*11\/2. Suppose j = 2*q + 2*r + 98, -4*r - 12 = 0. What is the tens digit of 1\/(q\/(-41) - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 994b - aa04?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and -0.065620972.\nAnswer: 9.934379028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 = -320*t + 350*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14\/3 - -44\/9. Suppose 2\/9*s**2 + 0 + f*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1290 + -770. Calculate the remainder when u is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2003*v - 122 = 1942*v. Solve 21*g = 4*k + 22*g - 13, k + v*g = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(-1*sqrt(170)*6 + sqrt(170) + (sqrt(170)*-2 + sqrt(170))*4))\/(5*(sqrt(90) + sqrt(90)*4 + sqrt(90) + sqrt(90))\/sqrt(9)*6))**2.\nAnswer: 153\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3194 != -3729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 738*u - 20 = 742*u. Put u, -1, 5 in decreasing order.\nAnswer: 5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**3 + 90*v**2 + 503*v + 12075. What is x(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 and -121\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 6*u**2 - 2*u. Let j be x(1). Suppose -j*l - 1 = -21. What is the second derivative of -l*o**3 - o + 6*o + o**3 - o wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00033414977 rounded to seven decimal places?\nAnswer: 0.0003341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -10, 53, -2 in increasing order.\nAnswer: -10, -4, -2, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 69719 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: Is 17124 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f - 188738 - 5900687 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0843 - -11.9157. Which is the second biggest value?  (a) -1  (b) 11  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*(sqrt(98) - (sqrt(98) + 2) - sqrt(98)) + 0)**2.\nAnswer: -28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -187993.9 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1238 by -2.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 8*d**2 - 5. Determine s(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 + 32 + (6 - 5) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*h*o**2 - 2*h*o - 10011424*h - 11*o**4 - 5030*o wrt o.\nAnswer: 18*h*o - 2*h - 44*o**3 - 5030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630 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: Solve 269*w - 12740041 = -12738427 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b**2 - 8*b + 7. Give d(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26 + 25.5. Let d = -693\/5 + 138. What is the closest to 0.1 in d, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + s**2 - 3*s + 2*s + 3903342*s**4 - 3903356*s**4 + 5*s**3 to j + u*s**3 + i*s**4 + q*s**2 + b*s and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19422\/11205)\/(2\/(-15)) + 2649\/204?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**4 + 0*d**4 - 2*d**4)*((4 + 2 - 4)*(-1 - 1 + 4) - 1 - 3 + 3 - 12 - 18 - 52).\nAnswer: -158*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 32. Let o(i) = -i**2 - 8*i - 13. Let l be o(x). Let h(k) = -984*k - 1. Is h(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*2628\/24 - (-18)\/6. Which is smaller: x or 442?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + 1 + sqrt(1088))**2 + -3.\nAnswer: 32*sqrt(17) + 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10058 + -2132. Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*r = 241824 - 42624. What is the least common multiple of 8 and r?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -d**4\/24 - 53*d**3\/4 - 79*d**2\/2 - 25*d + 28. Factor j(v).\nAnswer: -(v + 1)*(v + 158)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 774.27?\nAnswer: -387.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -800 * 0.728\nAnswer: -582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5517539 nanograms to kilograms.\nAnswer: 0.0000000000005517539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 6 = -3*b - 0, -3*s = 3*b + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5*z - 9. Let c(f) = -14*f + 26. Determine 6*c(q) + 17*t(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2. Let q(u) = -1. Let x(m) = 2*m + 3. Let s(l) = 6*q(l) + 2*x(l). What is v(s(i))?\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, v: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 335, 1374, 3101, 5510, 8595, 12350, 16769?\n\"Answer: -r**3 + 350*r**2 - 4*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 4:40 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 159 by 38.\nAnswer: 159\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**30\/q)**(-1\/36))**(-11))**(-7) assuming q is positive.\nAnswer: q**(-2233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 5, i: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -116, -121, -138, -173, -232, -321, -446, -613?\n\"Answer: -j**3 + 2*j - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 16) + 13 + 13 + (0 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 5, -2\/9, 30 in ascending order.\nAnswer: -17, -2\/9, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**2\/9 - 45223*l\/9 = 0. Calculate l.\nAnswer: -45223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220*a**2 - 441*a**2 + 113 + 35 + 220*a**2.\nAnswer: -a**2 + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 + n**3 + 2 - 5*n**3 + n - 2*n**3 - n + (n - 2*n + 9*n)*(0 + 0 + 2*n**2) + n**3 + 2*n**3 - n**3.\nAnswer: 14*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 1088?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -5*g - 72, -47*p + 97*p - 45*p - 4*g - 28 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/132 + (-1246)\/(-132))*720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1)\/2*-274 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 136, -1, 6 in decreasing order.\nAnswer: 136, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-55)\/(285285\/1064))\/((-120)\/26).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -176, -589, -1266, -2213, -3436, -4941, -6734?\n\"Answer: -u**3 - 126*u**2 - 28*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13441013, 13441020, 13441029, 13441040, 13441053?\nAnswer: 13441068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 1. Let s be 0 - (0 - 1) - -3. Suppose 3*w = s*w + 4. What is x(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -75732?\nAnswer: 75730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -94*o - 1603. Let s be j(-17). Which is the closest to 0.1?  (a) s  (b) -28  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-78)\/(-13)*(2\/1)\/6. Suppose -3*n - 68 = -h, 0 = h - x*h + 2*n + 71. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + (0 + sqrt(363) + sqrt(363) + -1 + 3*(1 + sqrt(363)) + 3 + -2 + sqrt(363) + -3 + -3)**2).\nAnswer: -26158 + 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 - 2*h**2 + h**2)*(-h**2 + 2*h**2 + 6*h**2)*(-13 + 6 + 3 + 8*h).\nAnswer: -112*h**5 + 56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.028957881 rounded to 4 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 12. Let b(m) = 0 + 3*m + 3 + 3*m**2 - m**3 - 5. What is the least common multiple of t and b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 790.5048ng in grams?\nAnswer: 0.0000007905048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5250 divided by -1050.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -7*d**4\/24 - 11*d**3\/6 - 18*d**2. Let a(r) = 2*r + 4. Suppose 18*l - 9411 = -9105. Calculate l*a(f) + 6*z(f).\nAnswer: -8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22554 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {y: 14, a: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*a - 10*a - 15*a = -169*a + 8700 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -20843?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-15)\/(375\/(-380))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 34660 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1012042 - 14?\nAnswer: 1012023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, c: 7}. What is prob of sequence ccpc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 9*x - 581. What are the prime factors of x?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 13 + 38*t**2 - 36*t**2 - 126*t**2 in the form w + c*t + y*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -1 + 1 - 4*c. Suppose -g + 2 = 1. Let h(s) = -s. Determine g*r(v) - 5*h(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -l**5\/20 - l**4\/3 - l**3\/6 + l**2 + 5*l. Let a be q(-2). Let n(g) = -g**3 - 4*g**2 + 2. What is n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2\/23  (b) 310  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.089 + 0.389. Let s = -4.3 + 4. Let l = -0.1 - s. What is the second smallest value in 2, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 518853 by -518853.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 229\/7 or 33?\nAnswer: 229\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -75, -205, -403, -675?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y**3 - 7*y**3 + 5*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -98.6 - -118. Round l to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -45*c + 259. What is the remainder when 397 is divided by p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 12:11 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4617 and 114.\nAnswer: 9234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (0 + 7 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6841, -6938, -7191, -7678, -8477, -9666?\nAnswer: -11323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/50)\/((-154)\/(-35) + -4). Find s such that o*s**5 + 2\/5*s**3 + 0*s**2 + 0*s + 0 + 4\/5*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(1\/3)*(r**0\/r*r)\/r)\/((r*r**(-6\/7))\/r**(1\/4)) assuming r is positive.\nAnswer: r**(-19\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*((a\/a**(4\/9))\/a)\/a)\/a**7)\/((a**(-4)*a)\/a)**(1\/18))**31 assuming a is positive.\nAnswer: a**(-1736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6976*t - 6897*t + 416190 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 4*l + 1. Let v(d) = d**3 + 4*d**2 + 2*d. Let q be v(-2). Let a be i(q). Solve -w = -a + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9094284695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 12*c - 4*x = -1586, 5*x + 1088 = 2*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-831 + 831 + 5*y**2 + y**2 + y - y + (1 + 3 - 1)*(0*y**2 + 2*y**2 - y**2))*(-2*y + 2*y + 2*y**3) + 2*y**5 - 4*y**5 + 4*y**3 - 6*y**3.\nAnswer: 16*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 2*u - 6. Let n = -4 - u. Solve -b = 4*o - 21, -o - 22 = -5*o - n*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17)\/2*(-2319)\/78846\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-1\/7))**(-18)\/((l*l**(1\/21))\/l**(-1\/3)) assuming l is positive.\nAnswer: l**(-461\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1803)\/(-252) - (-170)\/1785. Let l(d) be the first derivative of -a*d**4 + 13\/2*d**2 + 0*d**3 - 16 + 0*d. Find the second derivative of l(j) wrt j.\nAnswer: -174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -1018, 2, -176, -4, -2 in descending order.\nAnswer: 3, 2, 1, -2, -4, -176, -1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of b**3\/3 + b**2\/2 - b - 1. Let m be a(-1). Let z = m + 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/((-56)\/(-63)))\/(891\/99))\/((-4)\/1096)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 322243 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/2 and 2\/(-10)*500\/88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - l + 0*l)*(-56 - 19*l - 5*l + 25*l).\nAnswer: -2*l**2 + 112*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(2\/15)\/j*(j*(j\/((j*j*j*j\/j**6*j)\/j))\/j)\/j)**(-2\/9))**30 assuming j is positive.\nAnswer: j**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1261*o + 30 = 1258*o + 3*f, -78*o = -5*f + 415 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = o + 4*z + 15, -o + 9 = -z - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**8\/336 + n**5\/12 - n**2 - 6*n. Let o(d) be the first derivative of x(d). Find the third derivative of o(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8\/9)\/v)**(-43) assuming v is positive.\nAnswer: v**(731\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*l = -3*l + 120, 3*a - 72 = -2*l. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 332325 and 186.\nAnswer: 20604150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -581129135*d - 317751194 wrt d.\nAnswer: -581129135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 233509, 466971, 700443, 933925, 1167417?\n\"Answer: 5*b**2 + 233447*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 38*u**2 - 26\/3*u**3 + 2\/3*u**4 + 100\/3 - 190\/3*u.\nAnswer: 2*(u - 5)**2*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in 2\/33, 0.12, -3, -1\/802?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 114 = -0*x. Suppose 0*t - 3*t - 24 = -z, -3*z = -4*t - x. Suppose -8*y + 3*y + z = 0. Let l(g) = g**2 - 4*g. What is l(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30375487 - -30375515.099623. Let j = r - 28.1. What is j rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29 - -40) + (-5 - 1 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, -174, 0.01, -2\/7, 5, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4005 + 6424. Which is the third smallest value?  (a) -0.2  (b) z  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l**3 + 83*l**2 + 25*l - 87. Give h(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*l - 117, -7*l - 2*y = -3*l - 222. Suppose -58*z = 2*c - l*z - 18480, -3*c = 4*z - 27725. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 42 = -22. Let l be 5\/(u\/16) + 84\/15. Determine n, given that -12\/5*n**2 - 2\/5*n**4 - 2\/5 + l*n + 8\/5*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-34)\/(-1))\/2 + 0. Suppose -c + 8 = -i. What is the units digit of 2\/(((-24)\/i)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/784 and 1\/3920.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 29, 23, -2, 298, -4 in increasing order.\nAnswer: -5, -4, -2, 23, 29, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(-2 + 2 - 2*c**4) + 7*c**4 + 9*c**4 + c**4.\nAnswer: 21*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -908 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 128691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2 = -3*p + 36, -3*p = -h - 4. Suppose 5*j = -5*d - 0 + 20, 2*d + h*j - 8 = 0. Calculate the remainder when 11 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39654824107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 802 (base 9) in base 14?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35.2 - 31.2. Which is the nearest to o?  (a) -4  (b) 0.2  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + i**2 + 17. Let h(y) = -6*y**2 - 39*y - 15. Let p be h(-6). Suppose p*w - 11*w = 0. Determine k(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 1:11 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -11100001?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/90 and -7\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 115 - 80. Let g = 11 + 2. Calculate the remainder when z is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x. Let z = 2 - -4. Let n(p) = -p + 0*p + z*p. Give n(q(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 741386964?\nAnswer: 2, 3, 4397, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5051 + 44?\nAnswer: -5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5\/156 + -671\/156. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -0.064, 1 in decreasing order.\nAnswer: 7, 1, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/12)\/(3 - (-230)\/(-75)). Solve -3*t + 5*j = 0, 109*j = i*t + 111*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 - -201212011?\nAnswer: 201211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -53, 4\/9, -348, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 134874324 divided by 2593737\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*f - 28*f + 34*f - 2*f + 2*f - 2*f + (-2*f + 1 - 1)*(3 + 3 - 5) - 2*f - f + f in the form o*f + i and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 16. Let w(l) = -366925*l. What is h(w(f))?\nAnswer: 134633955625*f**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 18 = -68. Let l = -8 + v. Suppose 0 = -l*m - 3*b + 56, 0 = -6*m + 2*m - 3*b + 112. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 12:21 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22826606 or -22826599?\nAnswer: -22826599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -999 = -42*z - 412*z + 343*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21675\/4 + 3\/4*a**2 - 255\/2*a.\nAnswer: 3*(a - 85)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-119)\/85)\/(42\/70*1\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33059 + -33257.19. What is s rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/41 and (-140)\/155*(20\/32)\/(-5).\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 3. Let u be w(0). Put 0, u, -4 in increasing order.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**(5\/2)*g*g*g\/g**7)**38)**32 assuming g is positive.\nAnswer: g**608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -109*n - 7. Let w(m) = 109*m + 8. Determine 6*h(s) + 5*w(s).\nAnswer: -109*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 31 - 118. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or -0.029?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 47 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -38*z + 22*z + 17*z. Let m(g) = -2. Let k(i) = i - 1. Let h(s) = -3*k(s) + m(s). Determine h(l) + 2*p(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9812 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -1250*b**4 + 1600600*b**3\/3 - 1321024*b**2\/3 + 180640*b\/3 - 2272 = 0.\nAnswer: 2\/25, 2\/3, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of 5*s**4\/24 + 2*s**3\/3 - s**2. Let l(y) = 9*y + 7. Let o(d) = 24*d + 79. Let z be o(-3). Determine z*v(u) - 4*l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 88*i - 1. Is 29 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*b**2 + 12*b**2 - 23*b**2 + 24*b**2.\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 69*x - 2268. Let b be y(33). Solve -b*z = -5*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - o. Let c be s(-1). Let k(a) = 2*a**2 - 4*a + 3. Let p be k(2). Suppose 5 = -p*q + 17. Solve -q*z - c*j = -18, z = -4*z - 4*j + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 598879150*y**2 - 193*y - 1278013.\nAnswer: 1197758300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*110\/(-44)*-3*52\/15.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/20)\/((-12)\/(-32))*(-7580)\/12128?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2606*d. Let a(p) = 1141*p**2. What is a(g(l))?\nAnswer: 7748800276*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25761.\nAnswer: 3, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -223 - -5.103976?\nAnswer: -217.896024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5987, 13453, 20909, 28355, 35791, 43217, 50633?\nAnswer: 58039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21874, -12589, -3304, 5981?\n\"Answer: 9285*q - 31159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from 16725.49054.\nAnswer: 16724.49054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -174.0000485 - -174. Round u to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**5 + 0*k**5 - 4*k**5 + (k - k - k**5)*(-8 - 1 + 2) + k**3 - k**3 - 2*k**5 - k**5 - k**4 + k**4.\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3124 times 2?\nAnswer: 6248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*z + 2*z. Let f be 2\/24*z - 0. What is the nearest to 0.01 in -3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 3*u**2 - u + 6. Let o be z(4). Solve 5*y + 13 = 2*y - 5*k, 0 = 2*y - 2*k - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 1\/56  (c) 0  (d) 4  (e) 7826  (f) -0.5  (g) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -17*p**3 + p**2 - p + 1. What is w(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27700*i = -27759*i - 177 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 5:21 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 139082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 18*x + 35 + 57 = 0. Let f(l) = l**2 - 5*l + 2. Let u be f(4). Put x, 1, 3, u in decreasing order.\nAnswer: x, 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54418 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 3046.\nAnswer: 12184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.27 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17092 is divided by 166?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111819421 is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12.26 + -209.5. Let f = j - -202. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -29*i**2 + 23*i - 7. Let a(w) = 59*w**2 - 47*w + 15. Determine -6*a(z) - 13*d(z).\nAnswer: 23*z**2 - 17*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 PM and 4:17 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) -1  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173120 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*w + 6532 = 35*w. Let g = -4885 + w. Let d = -12987\/8 - g. Find the common denominator of d and 55\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 281, 557, 833, 1109, 1385, 1661?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4615 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 958258.9 litres?\nAnswer: 958258900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 - 705*q - 25650.\nAnswer: 5*(q - 171)*(q + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.050656 * -0.6.\nAnswer: -0.0303936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2734*n**2 + 4*n - 5. What are the prime factors of b(1)?\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 equal to 493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 881*m**3 + 588*m**3 + 596*m**3 - 2069*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.87135 - -1954.43865. Let y = 1967 - u. What is y rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1617*b**2 + 324729 - 324729 + 0*b + 0*b.\nAnswer: -1617*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -65*d**2 - 815*d - 2075. Calculate a(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 300 = 3*j. Let l = j - 54. Is l\/1*(-3)\/(6\/19) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 5*l = -15, -s + 5 = -4*l + 2*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.98945486 take away -12?\nAnswer: 11.01054514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 32953071079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1413496731*i**2*s**2 + 2*i**2*s - 171*i**2 + 2*i*s - 4513*i - 3*s - 4 wrt s.\nAnswer: -2826993462*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, -4, 7, -0.1.\nAnswer: -4, -0.1, 5\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -77760*t**2 - 32203*t.\nAnswer: -155520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -1\/15  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 9:20 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*i + 3*w, 2*w + 1 = 5*i - 2. Let b(t) = 4*t**3 - t**2 + t. Let z be b(i). Let p(o) = 0 + 0 + o. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -104, -2 in descending order.\nAnswer: 5, -2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r\/r**(-1\/8))*r**(-18)*r**3\/(r\/(r\/r**(-6\/13))) assuming r is positive.\nAnswer: r**(-1525\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1660359?\nAnswer: 3, 43, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 10 + 0 = 0. Suppose -3*h = -28*p + 30*p - 5, -2*h = 2. Sort 0, p, -1, v in descending order.\nAnswer: v, p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l**2 + 32*l + 2066. Give j(23).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3531310 - 2?\nAnswer: -3531312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -68 + 83 - 10*j + 1. Determine t(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-138)\/(-115))\/((-4)\/10). What is the third smallest value in i, 2\/5, 1, -1, 0.75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 13146 and 711455446.16?\nAnswer: 711442300.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4579, -4998, -5843, -7324, -9651?\nAnswer: -13034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(440) + (sqrt(440) - (sqrt(440)*-2 - sqrt(440))) + sqrt(440)))\/sqrt(10).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -16*i - 5. Let c be o(-5). Let d be -20*(5 + 92\/(-20)). Let n be c\/20 + (-2)\/d. Solve 4*q = n*v + 8, 3*q - 1 = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ljmmmlmhxm.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 3. Let n = -5.9988 - i. What is n rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/9)\/(6\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 157 and 6.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16977 - 16976. Put 2, 0, g, 50, -1 in increasing order.\nAnswer: -1, 0, g, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 738.3 or 0?\nAnswer: 738.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 92.88299t?\nAnswer: 92882990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70 - -142. Suppose -2*q - 5*u + 103 = -74, 2*u = 2*q - i. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.22?  (a) 0.18  (b) 1\/3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/6*24\/(-4). Let y(t) = 3*t - 2 + 2*t - 2*t**2 - t**i. Let d(g) = -g + 5*g + 5*g + 21 - 5*g**2 - 24. Determine 4*d(l) - 7*y(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from ujjuujuuuu.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 165 and 367388901.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -33 times -5\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**2 - 21142*v**3 + 20878*v**3 - 4*v**2.\nAnswer: -264*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 4*i = 4. Let a be 1 + i - (-2 + 1). Suppose 2*p - 680001 = d, d + 298215 = a*p - 721786. Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-2))\/((-7)\/(-21)). Let t be (b\/(-6))\/((-9)\/6). Let v = 2 + 6. Put v, 3, t in ascending order.\nAnswer: t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4786403 to the nearest 10000.\nAnswer: 4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(38)\/sqrt(2))**2 + 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**2 + 8452*k\/7 - 3621\/7 = 0. What is k?\nAnswer: 3\/7, 1207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 17*f + 89. Let w be d(-5). Solve w*j = 5*t + 25, -j - 25 = -6*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17\/4, 0, 0.1, -264126 in decreasing order.\nAnswer: 0.1, 0, -17\/4, -264126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 234\/(-13)*(2 + -4). Let g be (m\/45)\/(4\/10). Solve n - 4 = 0, n + g*n = 5*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71 by -21.\nAnswer: -71\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.48 + -0.12. Let k = f + 1.6. Which is the second smallest value?  (a) 4  (b) k  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 498143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -6*z - 33. Calculate v(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/65)*o*o*o*o**(8\/7)*(o**(-3\/8)*o)\/(o\/(o*o*o**22*o)*o) assuming o is positive.\nAnswer: o**(101187\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3*d - 3 = 0, 4*d + 9 = -3*p + 5*d. Let n = 0.36 - 0.06. Let y = -0.6 + n. Put y, -0.4, p in decreasing order.\nAnswer: y, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -25, 2*d - 199*k - 10 = -203*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of o**4\/3 + 38*o**3\/3 + 176*o - 127. Let q(d) be the first derivative of r(d). Factor q(l).\nAnswer: 4*l*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360*m + 311*m = -854609. What are the prime factors of m?\nAnswer: 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j**2 - 4*j**2 - 2*j**2)*(-41*j - 4*j - 5*j) + (-j**2 + j**2 + j**2)*(11 - 11 - 5*j) to i + k*j**2 + n*j**3 + q*j and give n.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 3872354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -252*r + 78. Let o be ((-4)\/(-3))\/((-12)\/216*2). Let z(q) = -630*q + 195. Let h(f) = o*x(f) + 5*z(f). What is the derivative of h(b) wrt b?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 271782534 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 427*k**2 + k + 1641*k**3 + 24*k**2 + 534*k**2 + k - 3*k wrt k.\nAnswer: 9846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 8*h**2 + 8*h + 12. Let d be c(9). Suppose -2*n - 396 = -4*s, s - d*n - 206 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -114, 3, -3\/2, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -43.9, 2\/5, 0.6375 in increasing order.\nAnswer: -43.9, 2\/5, 0.6375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 496309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81\/(4 + (-1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12524, 11652, 10188, 8126, 5460, 2184, -1708?\nAnswer: -6222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 324430 (base 6) to base 16.\nAnswer: 6942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2479*i**3 - 650*i**3 + 1413*i**3 + 746*i**3.\nAnswer: 3988*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y + 1. Give c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100221222 + -221022?\nAnswer: 100000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**3 + 13*b**2 + 4*b + 6. What is the smallest common multiple of (-1 - -8)*(521\/7 + -5) and p(-4)?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m + 4. Let w be z(4). Let g = w - 18. Suppose -5*c - v = -5, -v - g + 1 = -2*c. Which is smaller: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -12. Suppose -10*j + 31 = -9. Solve -7*r + j = -q*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 9*g**2 + 6*g + 6. Let d be z(8). Let k = d - -129. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/((sqrt(4) + sqrt(16)\/sqrt(4) - sqrt(4))\/sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*z = 4. Let f(j) = -j**3 + 19*j**2 - 19*j + 22. Let o be f(18). Solve -8 = -o*s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -4  (b) -155\/6  (c) -36  (d) -5  (e) 2\/3  (f) -4\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((8\/6)\/4)\/(-1)*(-5760)\/(-3200)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -277490 + 394327. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.04 - 0.04. Let m = b - 2.4. Let r = -0.7 + m. Is -9 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/7 - 1322*d**2\/7 + 23110*d\/7 + 24434\/7.\nAnswer: 2*(d - 643)*(d - 19)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/8 and -3\/82.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + 447. Suppose -226*x = 4*o - 224*x - 222, 0 = 6*o + 4*x - 328. Calculate the greatest common factor of k and o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**3\/3 + 3*c. Let a(x) = -96*x**2 + 3*x. Let l(g) = -192*g**2 + 5*g. Let r(v) = 7*a(v) - 4*l(v). Give r(f(o)).\nAnswer: 384*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 28*w**2 + 2*w. Let m be r(-1). Is 23 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*n + 9*h - 20, 0 = -4*n - 5*h + 20. What is the smallest common multiple of (-4)\/3*(12 + n)\/(-2) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 7*q**4 + 39*q**3 + 87*q**2 + 76*q + 27. Let x(v) = 6*v**4 + 38*v**3 + 86*v**2 + 76*v + 26. Let u(y) = 2*m(y) - 3*x(y). Factor u(d).\nAnswer: -4*(d + 1)**3*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + -0.2. Let g = 271.3 + -271. Let n = g - t. What is n rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(1 - -3 - 2). Suppose -2 = j*z - 3*z. Does 12 divide (48\/30)\/(z\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {a: 3, t: 2, z: 1, y: 3, j: 3, s: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23965856, 23965855, 23965854, 23965853, 23965852?\nAnswer: 23965851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -560750 (base 11) in base 14?\nAnswer: -193b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 306074.8 kilograms to grams.\nAnswer: 306074800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -3675.7435 to the nearest ten.\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(-3\/13)*(y*y**(-6))\/y)**(-44))**(-19))**13 assuming y is positive.\nAnswer: y**(-51832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53 plus -0.73775?\nAnswer: -1.26775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -669 or -479587\/718?\nAnswer: -479587\/718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.38 - 2.38. Let g(y) = -y - 6. Let s be g(-4). Let v be s\/(-3)*18\/(-60). What is the second smallest value in -5, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-4)\/(-234)*(-7)\/((-133)\/(-57))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16512659437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 3*g + 333, -4*k + 3*g = 2*g - 265. Let h be 242\/33*k\/(-4). Let i = h - -213. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 4)*(201*i - 1457*i + 649*i).\nAnswer: 1214*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 39755 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33056.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/10, -88, 0, 4\/3, -7 in ascending order.\nAnswer: -88, -7, -3\/10, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13733 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111110 - 10?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 223423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -192773, -385552, -578331?\n\"Answer: -192779*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -4*k**2 - 192*k + 196 = 0.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 4, 3*d = -r - r + 6. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 3)\/((-42)\/(-147)). Differentiate y + 2*y - 3*y + p*y**3 + 1 wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 13*i + 24. Let t be k(11). Suppose t*b - 2*f + 298 = 6*b, -64 = -b - 4*f. Suppose -7*d + 3*d + b = 0. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -341*5.\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (4 + sqrt(208) + sqrt(208) + 0 + 0 + -5)**2)*-2.\nAnswer: -1658 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -2  (c) -12\/11  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12795, 12180, 11155, 9720, 7875, 5620?\n\"Answer: -205*r**2 + 13000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/4  (b) 702  (c) 1.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9\/(-2))\/(24\/32). Let v(o) be the first derivative of o**4\/4 + 8*o**3\/3 - 5*o**2 - 9*o - 37. What is the tens digit of v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 6*c**2 - 6*c + 25. What is x(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3 - 5806*u**2 + 5780*u + 69648.\nAnswer: 2*(u - 2902)*(u - 4)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7866 and 1.\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7735.143 weeks to nanoseconds.\nAnswer: 4678214486400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 3*f - 93, f - 6*y + y - 23 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c - -7a?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -48 in -9, 0.5, 1, 2\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 AM and 11:21 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6966 and 301?\nAnswer: 48762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26466 divided by 3.\nAnswer: -8822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {t: 1, w: 2, y: 4, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + k**5 - 3 + (-k**2 - 3*k**2 + 2*k**2)*(2*k**3 - 4*k**2 + 4*k**2) - k**5 + 0*k**5 + 3*k**5 + (-k**2 - k**2 - k**2)*(5*k**3 + 5 - 5).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20968793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1112625915?\nAnswer: 3, 5, 199, 372739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 113695733509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z - 3 + z - z)*(44*z + 58 - 21*z - 24*z)*(-2*z**2 + 0*z + 0*z) in the form s + u*z**4 + g*z**3 + n*z + b*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -326508\/185 or -1766?\nAnswer: -1766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/20)\/(223\/7136).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 129.07 - 127. Let a = n - 2. Let w = a + -0.06997. What is w rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + q + 21 = 0, -6*q - 21 = x - q. Suppose -3 - 1 = x*u, -3*j + 5*u = -29. Solve 0 = -3*d - 7 - j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 1. Let v(b) = 3*b - 13. Let i(q) = 2*s(q) + v(q). Let g be i(5). Is 0 - ((-224 - 3) + g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v**2. Let h(k) = 15381*k**2 + 2. Give h(p(t)).\nAnswer: 138429*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3295.2522 - 0.\nAnswer: 3295.2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1429.2989867 plus -0.4?\nAnswer: -1429.6989867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 5*i**2\/2 - 10*i - 6. Let y be u(4). Solve -3*o = p - 5*o - y, 3*p - 20 = 4*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7669301 = -5*z + 2184084. Let u be 49034587\/8*1 - (-492)\/(-1312). Let b = u + z. Round b to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/2  (b) 2\/3  (c) -16  (d) 0.3  (e) -2  (f) -0.1  (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x*x**(-2\/9))**(1\/32))**(3\/2)\/(x\/(x\/((x*x**(-8)*x)\/x)*x)*x*x\/(x*x\/(x**(-1\/9)\/x)*x)*x)**(-5) assuming x is positive.\nAnswer: x**(-26165\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -6380 - 5331. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59667 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 3:33 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 20 = -0*k. Let m = k + 11. What is the units digit of (-204)\/(-21) + 2\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 + 607 = 26*y. Let a(s) = -s. Let x(b) = 97*b + 39. Let n(t) = -4*a(t) + x(t). Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 8 = -70. Let p(i) = -41*i - 83. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -m, -5*m = -4*i + 224. What is the remainder when i is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 14879271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 + 23.9. Let t be (2\/(-10))\/((-4)\/(-10)). Let f(w) = 3*w - 19. Let y be f(8). What is the closest to q in t, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*u = -81*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34768 - 34325. What is the remainder when 591 is divided by p?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -5*w**4 + 85685*w**3 - 1455015*w**2 - 3167105*w - 1626400 = 0?\nAnswer: -1, 19, 17120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 285, 332, 379, 426?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 2 = 5*c + 22, 0 = -5*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**3 + 46*y - 317 + 282 + 22*y + 35 - 17*y.\nAnswer: 2*y**3 + 51*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*o - 13 = -221*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 57 - 12. Suppose t = 4*f - 505. Round f to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6*t**2 + 30*t**2 - 7*t**2 - t + 7*t**2. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/4)\/(l\/l**(-6)*l*l))**15\/((l\/(l**1\/l))**(-11\/3))**(-2\/37) assuming l is positive.\nAnswer: l**(-61693\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5677617366?\nAnswer: 2, 3, 37, 8524951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, t: 2, o: 1, f: 2}. Give prob of picking 2 t and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -2\/11, 3\/7, 0.4, 5, 2, 10972, -3\/4?\nAnswer: 10972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328 is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3 + u + 5 - 5 - 2. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 506 divided by -4.\nAnswer: -253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*o + 315 = -73*o. Suppose 0 = -100*d + o*d + 43000. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/231564 and -79\/60?\nAnswer: 1157820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2366 = -i + 2*s, 9444 = 36*i - 32*i - 3*s. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1093941 litres in millilitres?\nAnswer: 109.3941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + 3 + (sqrt(1700)*-1)**2).\nAnswer: 8525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - 172\/(-12)) + (-39)\/195\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4423 - -33032?\nAnswer: 23104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3*0.173364\nAnswer: -0.520092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.81 - 0.21. Let n = -2977.3250082 + 2978.925. Let k = i - n. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-99)\/36 + 1\/(-4). Let z be 4\/h*(-3)\/2. Suppose 0 = -5*d - g + 110, -z*d - 2*g - 3*g = -21. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(4\/(-48)*3). Differentiate 3*o + 3*o + 6*o - v with respect to o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (34\/3 - 2) + 8 + -3 + -11\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**0)\/w*(w\/(w*w*w*w**7))\/w)\/(((w*w\/(w\/(w*w**(8\/11))*w))\/w)\/w)**(6\/7) assuming w is positive.\nAnswer: w**(-752\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -58*w - 24. Let i(b) = 13*b + 6. Let u(m) = -9*i(m) - 2*x(m). Let s(t) = -2*t - 12. Determine 3*s(q) - 5*u(q).\nAnswer: -q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 10 = -4*d, 0 = -5*d + 2*d - 4*z + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -6\/1283, -1.2, -60?\nAnswer: -6\/1283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2823*c**2 - 71831237*c - 50890.\nAnswer: -(c + 25445)*(2823*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64466.\nAnswer: 2, 32233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 749*t - 739*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 2) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 16*h**2 - 11*h**2 - 8*h**2. Let s(j) = -17*j. Determine s(r(g)).\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 174836090 a multiple of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 5:21 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 269688.7 nanograms?\nAnswer: 0.0002696887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eewwdedwwwqqekwwkwq. Give prob of picking 3 w.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 84.3 - 84. Let w = -0.349 + l. Round w to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-56)\/(-6)*72\/7 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -7. Suppose 2*c = k + 184. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 - 13*x + 21. Give p(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*h - 395 - 427 = -978. Let c = -2 - -1. What is the nearest to h in c, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3082173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 4, -7, 0.01468 in descending order.\nAnswer: 4, 0.01468, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16129301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o**2 + 689*o + 7456. Determine j(-10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 19 = 16*g. Sort 5, g, 13.\nAnswer: g, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-70)\/42 - (-62)\/38)*(-146)\/438?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 26 + 49*u - 2*u**2 - 26. Is w(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*p - 10, -q = -3*q + 3*p - 7. Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -153 - -165. Calculate the remainder when 131 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*b + 1 = -5*j - 93*b, 0 = -5*j - 5*b - 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29785 and 2254?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.733 + 0.233. What is the closest to -0.2 in 2\/3, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (1*sqrt(56)\/(sqrt(32)\/sqrt(4)) - (3 + sqrt(7) + sqrt(14)\/sqrt(2) + -2 + sqrt(7) + 0))*3*-6 + 4.\nAnswer: 24 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 765251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(20\/50*5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -31*r**3 + 26*r**2 - 3*r - 57. Let o(u) = 66*u**3 - 52*u**2 + 5*u + 117. Let q(a) = -11*c(a) - 5*o(a). What is the second derivative of q(g) wrt g?\nAnswer: 66*g - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2004.933 - 2005. Is p at most 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8 - 86\/(-11) - 34\/(-66). Which is the nearest to 2\/5?  (a) 0.5  (b) d  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yjyyypppypyppp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -7 + 63\/9 - (-10)\/6. Sort c, -5, -188.\nAnswer: -188, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, m: 2, u: 7}. What is prob of picking 2 u?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -41 + 43420333?\nAnswer: 43420242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1180\/29 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 11:25 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 14. Let k = 0.054 - -0.346. Which is the closest to 1?  (a) i  (b) -4\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + 18 - 14)*4\/(-30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119922914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l**2 + 0*l**2 + 2*l - 7*l**2 - 3 + 0*l. Let z be a(5). What is the tens digit of (9\/(-18))\/(2\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 1 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/5100 and -36\/935.\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -13*t**4\/24 - t**3\/3 + 274*t**2. Determine z(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8 + -3 + 1 + 9\/3. Let q be (0 + -18)*l\/21. What is the third derivative of q*h**2 + 33*h**2 + 38*h**5 + 9*h**2 wrt h?\nAnswer: 2280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 94227 = 3*t - 2*h, -2*h = 5*t - 157051. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2. Let n be 3\/6 - (-5)\/(-2). Let a = n + 0. Let x(f) = f + 1. Let j(b) = -6*b - 5. Let l(r) = a*j(r) - 10*x(r). Determine l(s(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -6*g**2 - 10*g + 6. Let c(t) = 10 - 3 - t + t**2 - 4 + 0*t**2 - 2. Let b = -5 + -5. Let w(y) = b*c(y) - u(y). Suppose w(j) = 0. Calculate j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -88*s*z**3 - 328*s + 31665*z**3 with respect to s.\nAnswer: -88*z**3 - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-7)\/(-84)*(-20)\/4.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 691 = -51*u - 390 - 245 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/5 - 128*y**2 - 2534*y\/5 - 1896\/5.\nAnswer: -2*(y + 1)*(y + 3)*(y + 316)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -10 - (12 + (-20 - -14)) - 26.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.9  (b) -37\/3  (c) 0.4  (d) 2  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*95\/(-19)*2\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 14*u**4 + 19*u - 1 - 17*u**4)*(1 + 0 - 3 + (-1 + 3 - 1)*(0 - 1 + 4)) as c*u**3 + f*u**2 + b*u**4 + z*u + m and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*l**2 + 829 - 423 - 424 to the form x*l**2 + s*l + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 538176?\nAnswer: -53817a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76 - (-66 - 8)) + 3\/(-12) + -1 + -2.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*j**3*y**2 - 23771*j**3*y + 2*j**3 + 2*j**2*y**2 + 5*j*y + 93869*j wrt j?\nAnswer: -72*y**2 - 142626*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/3  (b) 0.6  (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**7\/(d**3\/d))\/((d**1*d*d*d*d)\/(d**(2\/11)\/d)) assuming d is positive.\nAnswer: d**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -507 - -738. What are the prime factors of m?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(8\/20)*(2 - -2). Suppose 5*c - 50 = 5*j, 0*c - d = -3*c - j. Solve 0 = -o + 3*l + 19, o + 5*l = -4*o - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, z: 1, p: 2, a: 1, l: 1, i: 1}. Give prob of sequence lp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/12*l**2 + 182\/3*l.\nAnswer: l*(l + 728)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13751*g*m**2*z - 83*g*z + m**2*z - 17*m*z + 10*z + 843 with respect to g.\nAnswer: -13751*m**2*z - 83*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -6*t + 684. Let b(g) = -g + 3. Calculate -3*b(s) + n(s).\nAnswer: -3*s + 675","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (((-45)\/6)\/(-5))\/(30\/200). Suppose 3174 = w*g + 304. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5*j**2 - 48*j - 488. What are the prime factors of k(-15)?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6645\/(-10632)*(-544)\/(-4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -0*w - 5. Let x = -9 + w. List the prime factors of -1 + 2 + -1 - x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 10*a**2 + 12*a - 21. Let i be m(9). Calculate the common denominator of 1 - i\/(-4)*(-31)\/(-4) and 49\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-18)*16\/(-4). Put q, -0.3, 3 in descending order.\nAnswer: 3, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.05 - 0.11. Which is bigger: -1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -126 - -251\/2. Which is the second biggest value?  (a) p  (b) 3\/2  (c) -2.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -14*r**3 + 363*r**2 + 24*r + 56. Let q be v(26). Solve h = 3*s + 14, q*h + 0*h = 2*s + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1417, 13801, 47343, 112621, 220213, 380697, 604651, 902653?\n\"Answer: 1763*z**3 + z**2 + 40*z - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1227 + 1233. Let o(i) = 8*i. Let h = -21 - -14. Let v(f) = -2*f - 7. Let d(g) = g + 4. Let c(l) = h*d(l) - 4*v(l). Determine m*c(t) - o(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289536385.\nAnswer: 5, 2423, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117635327.\nAnswer: 19, 2339, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*(-12)\/216*-20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 34*v + 260. Calculate k(39).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -143.4  (b) 0.205  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 45718*g - 27880*g - 21771*g in the form a*g + p and give a.\nAnswer: -3933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7269664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 34743625 divided by -673\nAnswer: -51625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -8*b - 78. Is b at least as big as -24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4\/7, 37\/3, -0.2, 2\/4255?\nAnswer: 2\/4255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (10 + (-15)\/((-3315)\/(-2227)))\/(3\/(-39))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 8. Suppose u - 3*p = -10, -5*u + p = -0*u - 6. Let g(d) = d - d**2 - u - 2*d - 4*d - d. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442494 is divided by 1606?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 47028 and 204.\nAnswer: 799476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2033*b**2 - 2*b - 1. Let r be v(-1). Suppose 5*q - 10411 - r = 0. Let t = 10007\/4 - q. Calculate the common denominator of 73\/2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**2\/3 - 248*w + 22365 = 0.\nAnswer: 105, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 3*p + 0*p)*(2 + 1 + 0)*(3 - 3 - 2*p)*(p**2 - 15*p**2 - 2*p**2).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -84 + 87 + (1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -253236 and -253190 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 are the prime factors of 103397?\nAnswer: 7, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128581 is divided by 696.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -61 - -60. List the prime factors of (0 + b)*(-74)\/(-3)*-3.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l**3 - 4*l**3 + 2*l**3 + (l + 20 - 20)*(l**2 - l + l) in the form d*l + x*l**2 + c*l**3 + g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, i: 2, n: 1, k: 2, p: 8}. What is prob of sequence kjj?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -455*w + 515*w + 1220*w.\nAnswer: 1280*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(198) + -1*sqrt(198)*2 - sqrt(198))\/sqrt(6))\/(((sqrt(396) - sqrt(396)*-3)\/sqrt(9))\/sqrt(4))*2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 65 = -g, 0*g + 2*g = u + 18. Put -4, 3\/8, u in decreasing order.\nAnswer: 3\/8, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27\/62 - -2\/31. What is the fourth smallest value in -4, -1, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -5555*g - 61050. What is x(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, j: 1, r: 3, p: 3, q: 3}. Give prob of sequence xq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (3\/(-2))\/(6\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656644 a multiple of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75970 divided by 22.\nAnswer: -37985\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -1. Let q(x) = -x**3 - 16*x**2 - 59*x - 126. Let g be q(-12). Let o(d) = -d**2 - d + 2. Give g*k(l) + 2*o(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*x - 51, x - 31 = -4*t + 3*t. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1026 - 830. Round m to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 12 = 2*p. Let t(c) = -6*c**2 + 12*c**2 + 2*c**2 + 16*c**p. Let v(z) = 2*z**2. What is v(t(m))?\nAnswer: 1152*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 191?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - 14*x + 7 - 5 - 4)*(-6 + 10 - 31).\nAnswer: -27*x**2 + 378*x + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -0.2  (c) -0.1  (d) 2027942  (e) 6  (f) 5  (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-2)*(-22 - 396\/(-33)). Let t = 0.6 - 1. Which is the smallest value?  (a) t  (b) 2  (c) 3  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37 + 57. Let i be 15\/h + 700\/(-16). Let u = 82 + i. Calculate the greatest common factor of u and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + 42. Calculate the remainder when h is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-13)\/(-4) - (-6)\/(-24). Let a be 2 + 18599994\/v + 0. What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*l - 0*l. Suppose -q + l - 3 = 0. Let o = 38 - q. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70289, -281325, -633119, -1125677, -1759005, -2533109?\nAnswer: -3447995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, e: 1, b: 2, x: 2, g: 1}. Give prob of sequence gx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-60))\/(26\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.08748 and -0.049.\nAnswer: -0.13648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from fwbgx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, k: 5, w: 3, o: 3}. What is prob of sequence okk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 8*k - 2. Let u be v(2). Let r(i) = -5*i - 1. Let a be r(-1). Is a\/(-14) + 466\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7.56028 from -0.5.\nAnswer: -8.06028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 14*l**2 - 30*l + 11. Calculate w(9).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1649\/255812?\nAnswer: -1649\/255812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2446 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 20*o + 2. Is 16 a factor of t(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 14 = 2*j, -6*j = 2*k - 8*j - 32. Suppose -6*l - 8 = -2*v - 4*l, -4*v + 2*l = -k. Suppose 4*s - 1 = 7. Solve q + v = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1077\/2 + -549. Is -11 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 973 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -121 - -1110?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.07865 times 527?\nAnswer: -568.44855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**3 - 9*i**2 + 9. Let u(f) = -f**3 + 4*f**2 - 4. Suppose 5*k = -5*s - 50, -3*s - k - 30 = -3*k. Let n = s + 6. What is n*d(j) - 9*u(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406587?\nAnswer: 3, 313, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-21) - 368\/(-14). Let g = 52 - h. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {k: 2, f: 1, q: 3, p: 9, x: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*q + 2646 + 729. Let d = q + -370. Solve -n + 6*n - 35 = -d*i, -5*n + 19 = -3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by -8525206.\nAnswer: 29\/8525206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ucgc when four letters picked without replacement from mcucumcgumu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28.19 - 29.6. Let b = 73.59 - n. Let w = b - 77. What is the nearest to w in -0.5, 4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -99, 814, -61 in ascending order.\nAnswer: -99, -61, -2\/11, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 30 = 5*a + h, -3*a + 2*h + 28 = 0. Find the third derivative of -a*g**3 + 3*g**2 + 2*g**2 + 8*g**2 - 6*g**3 wrt g.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 2 + 0*d**2 + 0*d - d**4 - 1\/3*d**3. What is the third derivative of b(a) wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 5:13 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 2*i - i - 13, 0 = -3*m - 4*i + 31. Suppose 0*u = -m*u - 5, -2*q + 3*u + 121 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2140\/(-4708))\/((-32)\/(-44)))\/(-2*(-1)\/(-8))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 15\/16 of a hour?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -56*u**2 + 7 - 49*u**2 - 54*u**2 - 4*u**4 - 50*u**2 + 212*u**2 wrt u?\nAnswer: -16*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.1 - 1.6. Let q = 4 - v. Let n = q - 0.548. Round n to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*q + 7 = 0, -q + 2 = -2. Suppose 5317 = 5*a + 3*p, -4467 = -x*a - 3*p - 1272. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6*f**3 - 4*f**2 + 3*f + 2. Let j(v) = 7*v**3 + 5*v**2 - 3*v - 3. Let d = 215 + -210. Determine d*p(s) + 4*j(s).\nAnswer: -2*s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 651\/(-1575) - 1\/(-3)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -699 or -29716?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 535 = -2*j - 3*j, -v + 2 = 0. Suppose 5*t = 4*t + j. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 873 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 12, what is 826 - 5?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/12 and 9\/308?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 82 = 2*q. Let a = -35 + q. What is the lowest common multiple of 16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-2)\/8*(-8)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.3 in -4, -270.7, 95?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-56)\/14 + 1024\/(-4). Let z = u + 281. What is the remainder when 54 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r + 916 + 755 - 4*r.\nAnswer: -4*r + 1671","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8*15\/(900\/(-4))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14846 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8825 + 21844. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 2*k**2 - 1. Let v be o(1). Suppose v = 2*p + 2*g - 18, -13 - 1 = -p - 2*g. Let y be (1 - 2)*1\/3. What is the nearest to -1\/2 in 5, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-10))\/(35\/25)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 85 = -2*y, 5*y - 10 = 2*b - 15. Solve -20 = b*t + 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*k + 133359 = 140221 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 7*g**2 + 7*g + 19. Let z(r) = 13*r**2 + 13*r + 39. Calculate 11*h(s) - 6*z(s).\nAnswer: -s**2 - s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -4*l - 8, 2*l + 4*o + 7 = 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k - 19*k + 10*k**2 + 9*k + 11*k**2.\nAnswer: 21*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 0*r + 5 = r, 5*r - 25 = 2*a. Suppose -4*w - w = a. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52986 + 53041 + 4*s**2 - 106027.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1525504863632 less than 3?\nAnswer: 2.8474495136368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(0 + sqrt(288)) - (2 + sqrt(288) + sqrt(288) + 1)) + 2*sqrt(288)*-3*5)**2.\nAnswer: 1872*sqrt(2) + 194697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 10*c + 21. Let l be h(8). Solve -l*g + 7 = -13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78130436759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 464587 is divided by 224.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -240.51 - -240. Round n to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 34383367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-34560)\/(-297))\/(-32))\/((-26)\/143)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -5*a**4 + 5*a**3 + 5*a**2 - a - 2. Let h(y) = 36*y**4 - 36*y**3 - 36*y**2 + 6*y + 15. Let v(f) = -2*h(f) - 15*m(f). Factor v(u).\nAnswer: 3*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9097 + 14487. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1731\/8 + -216. What is the second smallest value in -4, 1, j, -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1432)\/44*1 + 30)\/((-12)\/462)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1105 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + l**2 - 55*l - 35. Determine n(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 1078 = -1019. Which is greater: -234 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*a + a - 6*a)*(15*a**2 + 12*a**2 + 38*a**2 - 1) - 126*a**3 - 624*a**2 + 312*a**2 + 312*a**2 as t*a**2 + w + l*a + o*a**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 + 2)*(-4*j - j + 4*j)*(-8*j**3 + 3*j**3 + 3*j**3).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/5340 and -19\/30?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 197*z**2 - 197*z**2 + z + z**3.\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 801466*b + 8816368.\nAnswer: -2*(b - 400744)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1*56\/((-32)\/4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.364 + -0.264. Which is the nearest to i?  (a) -0.07  (b) -0.4  (c) 0.2  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -s + 27. What is the first derivative of 2*a**2 - 8 + 3 - s*a**2 + 0 wrt a?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 8*h**2 + h + 10. Let l be k(-8). Suppose 0 = -4*d + 13 + 3. What is the smallest common multiple of (-238)\/(-12) + l\/12 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 420\/18)\/((-2)\/(-3)). Let p be ((-57)\/i)\/(-3 + 26\/8). Let a(m) = m - 2. Let s(o) = o - 1. Let l(g) = -2*a(g) + 3*s(g). What is l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 14*q + 19. Let t be j(-15). Let z be (-3 + 1)*878\/t. Let i = z - -1328. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.11676 millimeters to kilometers.\nAnswer: 0.00008611676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5911 and -0.32.\nAnswer: -1891.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -201101100102100 (base 3) to base 11\nAnswer: -58a6395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -336\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/6388 and 91\/4513122.\nAnswer: 9026244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 15 = b, 5*b - 5*n + 41 = 96 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -6*a**3 - 4*a - 6. Let u(y) = 5*y**3 + 3*y + 5. Suppose 2*c + 4*c - 18 = 0. Let p be (4 - 2)*c\/(-2). Calculate p*d(v) - 4*u(v).\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108)*2 - sqrt(108) - sqrt(6)\/(sqrt(8)\/sqrt(4)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7057.747 hours in seconds?\nAnswer: 25407889.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28.67 + 0.93. Let z = -30 + m. What is the smallest value in 2, z, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {o: 4, a: 7, d: 5, v: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - 55600.7.\nAnswer: -55598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2697 + 28*b**2 - 2697 - 2*b)*((-3 + 1 + 5)*(-1 - 3 + 1) - 4 + 0 - 1).\nAnswer: -392*b**2 + 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20872 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 63 - 249 = 0. Suppose -p = 3*w - 16*w. What is the first derivative of 47 - 34*o**3 + 6*o**3 - 12*o**3 + 14*o**w wrt o?\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**4)\/c*c)**(-25)\/(c**(2\/37)\/c**(2\/101)))**(2\/33) assuming c is positive.\nAnswer: c**(560294\/123321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 145. Let b be p(0). Let j = -1017\/7 + b. Find the common denominator of j and (77\/9)\/1 - 2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.18427505 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 22*t**2 + 71*t - 121. Let u be n(19). What is the highest common factor of 95 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/20426 and 99\/910.\nAnswer: 1327690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z - z**2 - 2*z + 7 - 7*z + 4*z. Let c(l) = -6*l**2 - 17*l + 41. Let y(t) = 6*c(t) - 34*w(t). Let g(r) = -r**2 + 7. Determine -4*g(u) + 3*y(u).\nAnswer: -2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3163*z - 12073. What is w(4)?\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 320 + -320. Is u <= 0.72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f - 29*f + 19584 = 0. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 2309*p - 1118*p - p**4 - 1148*p + p**2 to u + k*p**4 + o*p + i*p**3 + z*p**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55306 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 689 and 245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2020403143 (base 5) in base 14?\nAnswer: 7812d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3 + 417*w**2 - 1812*w - 13728.\nAnswer: 3*(w - 8)*(w + 4)*(w + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-2)*-1*(-12)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(-12)\/16)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10631 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z + 3*n + 16 + 5, -4*z + 35 = -5*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -32*g**4 + 11*g**3 + 25*g - 11. Let q(u) = -11*u**4 + 4*u**3 + 8*u - 4. Let p(r) = 11*q(r) - 4*s(r). Find the second derivative of p(w) wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (190\/4 - -1) + 1 and -25\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 20 + 33 - 22. Let d be b(-15). Suppose 2*m = 4*m, h + 4*m = d. Solve 0 = -4*x + 4*w - 4, h*w - 2*w - 6 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13177 - 12652 = 21*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -10. Suppose -f + c = 3. Suppose -4*y = 4*r + 4 - 0, 10 = f*y - 2*r. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -109*o**3 + 221*o**3 + 2 + 6*o - 4 + 1 - 21*o**3 as k*o**2 + i + z*o**3 + y*o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 - -51. Sort 5, 0.2, -3, n in increasing order.\nAnswer: n, -3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 683 + -683.00764. Let w = i + -2.17336. What is w rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - 5. Let a = -2 - j. Solve 0*p + a = 2*p + 2*u, -3*p - u = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 11:15 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -66879 and 7532?\nAnswer: 74411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.006 - 3.904. Let m = -0.09 + x. Sort 0.2, m, -0.3 in decreasing order.\nAnswer: 0.2, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -12 - 10 - 12 + 2*r. Let j be i(19). Suppose j*u = 17 + 43. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -13. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 124*t + 6. Let w(r) = -r - 1. Determine -5*p(d) - 30*w(d).\nAnswer: -590*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gxqugbw. What is prob of picking 1 w, 1 b, 1 x, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*h**2 - 2 + 25*h - 2*h**3 - 48*h + 25*h + 6*h**2 + 16*h**4 to l*h**2 + p*h**4 + z*h + y*h**3 + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**4 - 16*t**3 - 20*t**2 - 8*t + 3. Let s(o) = -4*o**4 - 80*o**3 - 100*o**2 - 40*o + 16. Let j(z) = 16*c(z) - 3*s(z). Let j(l) = 0. What is l?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 25.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*a + (2 - 1 - 3)*(a - 4*a + a) + 16 - a - 16)*(-a - a + 4*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (63\/(1512\/48))\/(-3 + 13\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 462644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 7*p + 9. Let d = 277 + -138. Let f = d + -140. Let h be v(f). Solve -4*r - 2*c - 28 = 0, -r - 6 - 7 = h*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, b: 13}. Give prob of picking 2 b.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**4\/4 + 20*o**3\/3 + 4*o + 1315. Give y(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/17  (b) -1.3  (c) -1600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.08 - 1.058. Let b = a + -0.085. Let o = b + -0.007. Round o to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77 and 17632832.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003629624 rounded to 5 dps?\nAnswer: 0.00363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 33017861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 797 = 5*q + 796, 27 = 2*q - 5*a. What is the biggest value in 212, -5, q, 1?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (127 + 43 + 79)*(0 + 3 - 2)*(5*v - 2*v + 0*v).\nAnswer: 747*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(32))*-1.\nAnswer: -20*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 222 and 8031?\nAnswer: 594294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.1727 kilograms in milligrams?\nAnswer: 3172700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 437 is divided by 152?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 4 - 20 = 0. Suppose 0 = -0*q + 2*q - 8. Suppose 3*s - q*s = 0. Solve -z*b - 5 - 3 = s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**3 - 55*a**2 - 168*a wrt a?\nAnswer: -6*a - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2 + (3 + 4 - 6)*(-2 + 2 + 1) + 148 + 200 - 449)*((0 - 2 + 1)*(3 - 5 + 3) + 7 - 2 - 3)*(7*v**2 - 39*v**2 - 27*v**2).\nAnswer: 5782*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**4\/12 - 5*v**3\/6 + 6*v. Let s(f) = -f. Let k be (-18)\/45*(0 + -30). Let z(j) = k*s(j) - 3*p(j). Give z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence viv when three letters picked without replacement from {v: 4, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1 + 1*-59)*(-3)\/6 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 917*c. Let r(k) be the first derivative of -3*k**2\/2 + 3643. What is r(o(l))?\nAnswer: -2751*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 224557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 698 + -ab?\nAnswer: 5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -4*z + 33, 3*i - 28 = 3*z + 56 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 636\/5*(-4515)\/(-258)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -12276, -24523, -36748, -48951?\n\"Answer: 11*h**2 - 12280*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*h - 16*h + 9. Let d(p) = -2*p**2 - 3*p - 8 - p**h + 9*p + 3*p + 7*p**2. What is the smallest common multiple of 6 and d(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttff when four letters picked without replacement from fyytyfyyyyfyytfy?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23885 + -23475. Calculate the highest common divisor of y and 1025.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47392925 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -3 + 18\/22)*(-8599)\/68792.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78 - 2156*o - 1143*o - 78.\nAnswer: -3299*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4719) + sqrt(4719) + sqrt(4719)*-1*1)*-2)\/((1*sqrt(1536))\/(sqrt(8) + sqrt(144)\/sqrt(2))).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z**2 + 5*z + 3. Let x(k) = -6*k**2 - 11*k - 7. Let g(o) = -7*q(o) - 3*x(o). Find the second derivative of g(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 681*c**3 - c**2 + 2*c - 1. Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.076 less than 1503783?\nAnswer: 1503779.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 260710 and 16?\nAnswer: 2085680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {u: 8, l: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 4 - 21. Suppose 4*z = o*z - 2. Suppose -4*u + 6 + z = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51890, -51891, -51892, -51893, -51894, -51895?\nAnswer: -51896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48397 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28351540 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**3 - 3*h**2 + h - 7. Let a = 15 + -9. Suppose -3*z - a = -5*z. Does 10 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*n**2 - 131 + 37*n**2 + 38*n**2)*(9*n + 23*n - 12*n).\nAnswer: 20*n**3 - 2620*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-6)\/24)\/(-16*(-2)\/(-32)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.7*-1960.78\nAnswer: -1372.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(7))*1*6 + (((-1*sqrt(630))\/sqrt(10))\/sqrt(9))**2.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 858365.3 days?\nAnswer: 1236046032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z + 49. Let s be y(16). Suppose n + 16 = -0*n + 4*w, 2*n + 2 = 2*w. Suppose n*c - 10 = 2. Solve -3*u = k - s, c*k - 3 = u - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/1331 in 98, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 962827?\nAnswer: 421, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 39\/52*4\/1. Let n be ((-1)\/(-3) + (-16)\/(-24))\/1. Sort -1, n, i, 5 in ascending order.\nAnswer: -1, n, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1210271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 - 2*t + 14. Suppose 0*v = -5*v + c, -5*v - 30 = 5*c. Let p(n) = -3. Let h(l) = v*o(l) - 5*p(l). What is h(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41859388 to the nearest integer?\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 15, -u - 2*l = -2*u. Let q = u + -6. Solve -3*p = -2*h + 4*h + 6, -q*p + 3 = -h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of -b**4\/12 - 2*b**3\/3 + 15*b**2\/2 - 271*b. Let r be g(-6). Solve -r*y + 5 = -8*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67245?\nAnswer: 3, 5, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of u**7\/6300 - u**5\/900 + 35*u**3\/3 + 40. Let f(p) be the third derivative of y(p). Suppose f(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 - (-13 + 22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1215\/4 - -305. What is the closest to 5 in 2, 0.4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48194?\nAnswer: 2, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -534 - -948. Suppose -5*g - 134 = -z. What is the greatest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3875228737 - -9514.\nAnswer: -3875219223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -128 + 129. List the prime factors of (x\/(-2)*-2)\/(20\/4640).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96\/(208\/13) + -1 + 2423?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 12:02 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2739 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5480 + -1?\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*4*(sqrt(17)*1 + sqrt(17)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 5, -5*l = -3*c - 114 + 649. Sort c, 2, -2 in increasing order.\nAnswer: -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-15\/4)\/i**(2\/37) assuming i is positive.\nAnswer: i**(-563\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 280 (base 11) to base 4\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 118 + -48. Let a be ((-16)\/10)\/((-4)\/i). Let h = 50 - a. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8, -15, -20, -23?\n\"Answer: k**2 - 10*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 - (18 - 16 - -22) - (-95 - -3 - -1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from lxmmlylmmlmyrlil?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7092 - 7008. Suppose n + j + 1 = -0, 0 = -2*n + 2*j + 10. What is the lowest common multiple of f and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1253*g**2*j**2 + 4703*g**2*j + 50216*g*j**2 - 28*g wrt g.\nAnswer: 2506*j**2 + 9406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(-378)*((-4)\/(-10))\/(160\/(-900)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*a**3*q**3*r**2 - a**3*q**2*r + 5*a**3*q**2 + 2*a**2*q*r**2 - 3*q**3*r + 2*r wrt q.\nAnswer: 204*a**3*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1800 divided by 40\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-10 - ((-4)\/1 - -8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -173*g**2*h**3*y - 3*g**2*y**2 + 6*g*h**3*y - g*h*y**2 + 2*g*y**2 + 38*h**2 wrt g.\nAnswer: -346*h**3*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -719*p. Let w(v) = -32*v. Give y(w(s)).\nAnswer: 23008*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t. Let u(j) be the third derivative of j**5\/60 + 18*j**2. Give l(u(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 10:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 151 = 6*w - 11*w, 4*p = -2*w + 178. Suppose -12*f + 44 = -8*f. What is the remainder when p is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 535, 1069, 1603, 2137, 2671?\n\"Answer: 534*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -11 - 2 + 0*w + w**2 - 9*w. Suppose 4*k - 10 = -3*p - 0*p, -2*k + p + 30 = 0. Calculate v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (11 - 0) + 2 - 1. Let t = x + -10. Suppose 8 = t*o, 2*u + 3*o - 15 = 45. What is the greatest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 5) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19*k**2 - 1646633*k - 105054607.\nAnswer: -38*k - 1646633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -169 - -172. Let g(o) = 3 + 6 + 3*o + 0*o - h. Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9\/2, -5, 2, 7 in decreasing order.\nAnswer: 7, 9\/2, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -387 + 553.4. Let k = p - 82. Let a = k + -84. Which is smaller: a or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/1134 and -83\/18.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -366, 3, -0.2, 4\/3, -3, -5\/3?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 2*r + 7 - 1, -j = r. Let h(n) = -6*n**2. Calculate h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101110111011 - 11100001011?\nAnswer: -11001011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 2*f + 5, 431*b - 435*b + 2 + 2 = -4*f - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5503 - -5372.95. Let t = h - 1.95. Is -1\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4 + 132*g**3 - 1782*g**2 + 7068*g - 5415.\nAnswer: -3*(g - 19)**2*(g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k - 5*k**2 + 4*k**2 - 2*k + 9. Let f be t(-7). What is the tens digit of (-1)\/f*(-134 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/60*2*9\/4. Which is the second biggest value?  (a) 2\/3  (b) -397\/24  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26054 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(972) - (-1 + sqrt(972))*-4)**2 - ((sqrt(972) - (sqrt(972) + 1 + sqrt(972) + 0 + sqrt(972))**2) + sqrt(972))*-3.\nAnswer: -3096*sqrt(3) + 71017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 divided by -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 - -301. Let q = o + -2369\/7. Sort q, -28, -1\/5, 0.4 in descending order.\nAnswer: q, 0.4, -1\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (26 + 16214\/(-616))\/(6\/116) and -45\/4172?\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 68 - -27?\nAnswer: 8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -l**7\/105 - l**6\/30 - l**5\/30 + 3*l**2. Solve x(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 129331 and 277285664?\nAnswer: 277285664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-20)*-14 + -5 - 291\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49 and 120589.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 + 2 - 4)*(0 - 3 + 2) + 0 + 2 - 4)*(73 + 2 + 1189*y - 40 - 35).\nAnswer: -5945*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -232 - -429. Suppose -r = -2*d - 3*b, -3*b - b - 444 = -4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 130041679 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 296*b = 292*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 18. Let j = z + 12. Solve -2*r - 28 = -5*t, -5*r + j*t - 8 = 7*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 19 = b, -2*i = -i - 2*b - 11. Suppose -4*l + r = -0*r, -5*r - 26 = -33*l. Solve 3 + i = l*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 - n - 1 + n)*(183*n - 183*n - 26*n**2).\nAnswer: 52*n**4 + 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from bbxbxbbx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + g + 3*p - 36, 6 = 3*p. Let i be (2\/4)\/(2\/12). Let f be (-1 - 9\/3 - 2)\/(-1). Solve f = i*z - g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52 - 154*b - 513*b - 52 - 184*b.\nAnswer: -851*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7546350?\nAnswer: 2, 3, 5, 7, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3218 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 549 by -72.\nAnswer: -61\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 108057284 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ssoossoitioiqcs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-462) + 8\/(-14). Sort -2\/13, 0, r.\nAnswer: r, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -607\/21 - -88\/3. What is the closest to 0 in g, 2\/3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**2 + 3246*g - 3248 = 0.\nAnswer: -1624, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 58.58444 years?\nAnswer: 5.858444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4502269 is divided by 522?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 10*z**2 - 5*z - 41. Let v be c(-10). Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (-1)\/(-2)*4. Suppose -5*p - 3*d + 45 = 0, p + d - 2*d - 1 = 0. Let a be (-5)\/(2 + 18)*p. What is the closest to w in -1\/5, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/7  (b) -5  (c) -1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/389184 and 139\/4020.\nAnswer: 130376640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -780, -785, -792, -801?\n\"Answer: -g**2 - 2*g - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 60369429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 2:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1486578, 1486547, 1486516, 1486485?\n\"Answer: -31*m + 1486609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*f - 4 + 6, -5*z = 20. Let p be 12 + -1 + f + -5. Suppose -p*y + 6*y + 120 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0174  (b) -0.06  (c) -25703\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 21*q**2 - 20*q.\nAnswer: -q*(q + 1)*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 9) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - -2)*6*(-8)\/(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**5 - z**5 + z**5 + (164*z - 116*z - 102*z)*(-2 + 1 - 2)*(4 - 4 - 10)*(4*z**3 + 4*z**4 - 4*z**3).\nAnswer: -6479*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/((6\/9)\/1). Let n = -110\/9 + u. What is the closest to 0.1 in -1\/5, n, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1027*c**3*r**3 - 2*c**3 - c**2*r + 251*c**2 + 332*c*r**3 - 72 wrt r?\nAnswer: -6162*c**3*r + 1992*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 94*q + 91*q - 8*q**3 + 3*q**3 as y*q**3 + s*q**2 + d + g*q and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-2)\/(-22)*15\/(-18). Let q = -2\/11 - x. Let p be (-16)\/(-9) + (-3 - -1). Which is the biggest value?  (a) p  (b) q  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -10*f**4 + 15*f**3 - 5. Let x(n) = n**5 - n**4 - n**2 + 1. Let d(t) = -r(t) - 5*x(t). Suppose d(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 33 = 27*x. Let i(q) = q**3 - 1. Let l(m) = m**3 + 1. What is x*l(a) + 4*i(a)?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/7014 and -43\/1336.\nAnswer: 28056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1682  (b) 15  (c) -76  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 89280 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jxxxqxxxqxqxqqxjxqx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 12:26 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19610 - -235175\/12. Calculate the common denominator of v and (-107)\/14 + (-2)\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.6 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 530, 378 in decreasing order.\nAnswer: 530, 378, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**3 - n**2 - 833*n + 1672*n - 837*n + 4. Let t(d) = -12*d**3 - d + 3 - 3*d**2 - 4*d + 8 + 10*d. Determine -11*p(h) + 4*t(h).\nAnswer: -4*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - b - 18. Factor 20*g**3 - b*g**4 - 24*g**2 + 32 + 14*g**4 - 7*g - 9*g.\nAnswer: -4*(g - 2)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -933*o**2 + 1158513 - 1158513 - 199*o**2.\nAnswer: -1132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, x: 1, j: 1}. What is prob of sequence jxt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52479 and 351?\nAnswer: 2046681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-7))\/((-849)\/11886)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i**2 + 55*i + 3*i**2 - 55*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-1049\nAnswer: -524.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.01  (b) 520950  (c) 4  (d) -3  (e) 3  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/1913 and 41\/2609332?\nAnswer: 2609332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -851 and -45288533325.\nAnswer: -45288534176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126\/108*3\/35.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide ((-147)\/4 + 2)\/((-72)\/1152)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 7 + 3 - (-5 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8*w = 0. Suppose w = -6*f + 10839 + 18741. What is f rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 31512 and 1905264?\nAnswer: 24768432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -256252*q = -256722*q + 20680 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 15*c + 30. Let k(g) = 1. Let z(n) = 5*k(n) - w(n). What is the first derivative of z(i) wrt i?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 4*q + 33. What is s(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 2*z**2 + 9*z - 10. Let v be f(1). Let m(b) = b**2 - 8*b - 55. Give m(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*k - 6. Let a(x) = -3*x**2 + 4*x + 4. Let l(t) = -8*t**2 + 11*t + 11. Let m be (11\/(198\/(-12)))\/(4\/(-66)). Calculate k*l(u) + m*a(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)*2 - sqrt(75))**2 + sqrt(243) + 1 + -3.\nAnswer: 9*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31838 (base 10) to base 5.\nAnswer: -2004323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1194, -1833, -2474, -3117, -3762?\n\"Answer: -w**2 - 636*w - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/6 + 44\/(-6))\/1. Let t(w) = w**2 + 5*w - 18. What is the lowest common multiple of 60 and t(f)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 3. Suppose d - 24 = 2*j - 11, -d + 5*j = -22. Solve d = n*z + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 12*o**2 + 59*o + 745. Calculate f(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-4) - 36\/(-16))\/((-83)\/((-581)\/(-6)))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 609755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -220, -712, -1674, -3262, -5632, -8940?\nAnswer: -13342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/6 - 37*h**2\/3 - 1369*h\/6.\nAnswer: -h*(h + 37)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20987 divided by 2785.\nAnswer: 20987\/2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1962 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(5 - 2) + -1. Let g(d) = d**2 + 6. Let u be g(i). Let f = -4 + u. Is f < 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17363\/2271 - -16\/757. Let q(n) be the first derivative of -17\/4*n**4 + c*n**3 + 0*n + 0*n**2 + 17. Find the third derivative of q(h) wrt h.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, y: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 11:57 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - z - 603, 5*z + 114 = -2*l - 141. What is the units digit of 3085*(-8)\/l*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a + 5*h - 44, -h + 18 = 458*a - 453*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16.6 + 64.4. Let n = 80.6 - o. Which is the second smallest value?  (a) n  (b) 0.3  (c) 0  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9*t - 10. Let m be r(2). Let p be m\/(-3)*((-147)\/(-36) - 4). Which is the closest to 9?  (a) p  (b) 0.5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0 = -1. Which is smaller: t or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - 8*w - 2. Give j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -9) + 0 - (100 + -119)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 18*y + 42*y - 15*y - 11*y. Let u(w) = 14*w. Determine u(i(h)).\nAnswer: 476*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 11*m. Let l(j) = -3480*j + 6. Give l(x(z)).\nAnswer: -38280*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s**2 + 34*s + 55. Let b be a(-9). Let y(g) = -g**2 - 11*g - 1. Give y(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - 27. Let p = 5 - x. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2. Let w(l) = -9*l - 75. Calculate -2*a(r) + w(r).\nAnswer: -9*r - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-2)*y)*(y*y**3*y)\/y)**(-9) assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 2*d - d - 7, 0 = -4*c - d + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8953 is divided by 262?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auyswayuiawy. Give prob of picking 1 y and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 1:29 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {c: 6, p: 4, b: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6888 + -0.3888. Let t = -12 + 11. Which is the nearest to t?  (a) -35  (b) p  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0*p - 6 = -c, 4*c - 26 = -2*p. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -341, -558, -775, -992, -1209?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/28 and -47\/119.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12*u**2*v - 2*u**2 - 11*u + v - 599 wrt u.\nAnswer: -24*u*v - 4*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 55 - 55.41. Let y = x + -2.59. Let f be 5\/2*4\/5. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11550357 to the nearest integer?\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10204600, 20409207, 30613814, 40818421, 51023028, 61227635?\nAnswer: 71432242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 32232 and -4.\nAnswer: -128928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-1) + -2)*7\/(-46 + 4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1661083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2380 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/117, 4, 5911.4?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**3*d**3 - 9*c**3 + 2*c**2*d**3 + 100*c**2*d**2 + 1212*d**3 wrt d.\nAnswer: -12*c**3 + 12*c**2 + 7272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - -0.2. Let k = -1.24 + 1.64. Let y = -5 - 0. Sort k, t, y.\nAnswer: y, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r - 1. Let l be (-3 + 4)*1*2. Suppose 0*s - l = -s. What is the remainder when b(-2) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/(-3))\/(8\/72). What are the prime factors of l - (2 - 11 - 2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32347*r**3*t**3 - 3*r**3*t - 49*r*t**3 - 39152*r*t**2 wrt r?\nAnswer: -194082*r*t**3 - 18*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/((-94)\/(-31) - 3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4 = -6*s. Let y(n) = 61 + n**s - 10*n - 25 - 26. Give y(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -341*a**3*k + 161*a**3 wrt k?\nAnswer: -341*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**4 + 64*o**3 - 814*o**2 - 6720*o - 11025 = 0. Calculate o.\nAnswer: -3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 184, 175, 158, 133, 100, 59, 10?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1324 divided by -2\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-2\/57)*p)**(-11) assuming p is positive.\nAnswer: p**(-1276\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/6982417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from bbmmwmwmbm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1776, 3424, 5072, 6720?\nAnswer: 8368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1765221833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(192) - (4*sqrt(192)*-2 - sqrt(192)))\/(sqrt(1728)*-2 - sqrt(12)))\/(sqrt(800)*3 + -6*sqrt(72)))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2490209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 2. Let y be x(2). Let z be ((-12)\/(-10))\/(y\/10). Let q(f) = f**2 + 3*f - 8*f - 7350 + 7351. What is q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 - 938250*u**2 - 11259157*u + 12197406.\nAnswer: (u - 938262)*(u - 1)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0115 * -256104.\nAnswer: 2945.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 3 = 3*u. Suppose u*f = 6, -x + f + 1 = -2*x. Sort x, 0, -2\/15.\nAnswer: x, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -4)*(-8)\/(-12). Suppose -5*b + 3*b - 200 = -n*t, t + 312 = -3*b. Find the common denominator of 50\/3 and (-1 - b\/10) + 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 507.796 and 131839480.\nAnswer: 131839987.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.075?  (a) -1\/4  (b) -1  (c) 0.193  (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 159170 + -79490. Round l to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19206*a*t**3 + 2*a*t**2 - a*t - 567*t**3 + 13*t + 33253 wrt t?\nAnswer: -115236*a - 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 388 + -388.1. Put -0.3, l, -10, 3 in descending order.\nAnswer: 3, l, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*4*-1 + 1. Let b = d + 39. Suppose b = l + 3*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 125828936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 663 is divided by 571?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.4 + -42. What is the nearest to -3 in -0.1, 1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 143*c**2 - 12*c + 3. Let i(b) = -15*b + 197. Let h be i(13). List the prime factors of t(h).\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -692 and -1412.524.\nAnswer: -2104.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 - 12. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 7. Suppose 5*t + j*z + 2 = 5, 0 = -3*t + z - 1. Suppose 4*d - 27 + 35 = t. Which is the smallest value?  (a) -5  (b) d  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-21\/2))**(3\/2))**4 assuming i is positive.\nAnswer: i**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/39811 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 146835 and 4451485.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -6  (c) -5  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -355 divided by -71?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 596 = 600. Solve -g + 6*u - 2 = 3*u, -x*g + 3*u = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s**2. Let p(j) = 10*j. What is p(c(z))?\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257, 310, 365, 422, 481, 542?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-8932)*-29)\/((-1)\/11)*-12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 16 = 3*b. Suppose 6 = -d + b*d. Find the second derivative of -2*m**2 - d*m**4 + 2*m + 2*m**2 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 16270772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 4. Let u be n(4). Let q be u - (0 - 1)*5. Suppose 0 = q*a + 25, -2*c + 139 = -a - 4*a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-3)\/(-32)*(-4)\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0.2, 3, -0.082?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j. Let x(g) = -27*g. What is -6*s(u) + x(u)?\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -43 + 23. Let x = 7 + l. Let r = x + 13. Solve -k - k + 12 = 3*c, r = -2*k + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 11:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -11*s + 50. Let g be w(0). Suppose -g*d - 20 = -51*d. Calculate the smallest common multiple of 70 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(76) - (sqrt(76) - -1*sqrt(76))) + 4*(sqrt(76) + 3) + -2)**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of n**2\/2 + 9663. Let j(r) = r - 1. Calculate 7*b(w) - 4*j(w).\nAnswer: 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 732912 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.126727, 2, 0.2, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 440353 - -235143?\nAnswer: 1115540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10 + 3*35\/(-15). Solve k = -v + 3, 5*k - v = 3*v - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + (sqrt(252) - (-1 + sqrt(252)) - sqrt(7)) + sqrt(56)\/(-2*sqrt(8)) + -5 + (sqrt(252) - 2*sqrt(252)) + 3.\nAnswer: -15*sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 2*h - 2*h)*(h**2 - h**2 - 2*h**3) + (0 + 2 + 1)*(4*h**4 - h**4 - h**4) + (h - 3*h + 0*h)*(3 - 3 + h**3) + 0*h**4 + 4*h**4 - 5*h**4.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 9 = -3*q, -3*h + 3*q + 20431 - 20422 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42.09 or 3535?\nAnswer: 42.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 + g - 2. Let n(o) = -o**3 - 2*o**2 - 4*o - 3. Let d be n(-2). Let p be 4\/6*(-2 + d). Let c(r) = 4*r + 1 - p - 3*r. Give 2*c(h) - s(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.163 + 4.133. Let p = q - 4. Let t = p + 0.43. Which is the second smallest value?  (a) -1  (b) 1\/7  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -21485 - -11a?\nAnswer: -21367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, g: 4, j: 1}. What is prob of picking 2 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17183 + 240559\/14. What is the third smallest value in -14, 0, w, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 + -4 + 0 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.86 - -3.96. Which is the biggest value?  (a) w  (b) 0.06  (c) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((3 - 8) + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 11 + 3)*(-1 - 2 + 2)*(z - 8 + 8).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*m - 86 + 24*m + 112.\nAnswer: -56*m + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 46, -68, 178 in ascending order.\nAnswer: -68, -4, 46, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 39a2?\nAnswer: 39a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, y: 3}. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 8 = 4*j, -2*d - 4194 = 3*j. Let i = d + 4403. What is i rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - h + 6, -4*f + 2*h = 5*h + 4. Suppose -f*y + 1 + 21 = 0. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3037\/1899 - -7\/9495. Let -1\/5*n**2 - 7\/5 - g*n = 0. Calculate n.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 4:59 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-5)\/4) - 32\/(-10). What is the second derivative of 39*x**4 - x - 14*x**m - 2*x wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/44, 1, 0.99, 3, 0.4, 5, 0.6 in descending order.\nAnswer: 5, 3, 1, 0.99, 0.6, 0.4, 1\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 691 divide 304757962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 96 = -5*r, 4*f + 18 = 4*r - 30. Suppose -4*n - n + 305 = 0. What is the remainder when n is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - (-49)\/(-42))\/(1\/(-3)). Let k(o) be the first derivative of 0*o + 6 - r*o**2. Let a(b) = -b**2. What is k(a(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2361401 (base 7) to base 5\nAnswer: -34110130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from itkppttippitpttpt. What is prob of picking 2 t?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 8:19 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4*i - 298 - 898, -i = -68*f + 15785. Solve f = 16*h + 296 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12586947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 8*x**2 + 7*x - 1. Let g be k(7). Let v be -3*(5 + g)*-1. Let l = v - 2. Solve 3*c - c - l = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h. Let q be m(2). Let f be (1 + (-1)\/2)*(-94)\/188. Let k be (6\/36)\/((-2)\/(-4)). Which is the third biggest value?  (a) q  (b) f  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 2:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 5*p**2 + 184169*p - 1105042. What is f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154947*k + 154942*k - 36 = -4*c, 4*k = -c - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 1587*y**3 + 40606*y**2 - 40606*y**2 + (4*y**3 + 3*y**3 - 4*y**3)*(-1 - 3 + 2) as p*y**3 + d + u*y**2 + h*y and give p.\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 4:03 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 3:14 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*p - 2565 + 10511 = 6*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 11:50 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -112782287 times -0.4\nAnswer: 45112914.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from rjhjyjhjjjhyyhrjjhj.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = v - 4. What is the least common multiple of (9\/(-6))\/((-12)\/128) and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 408 = 11*g + 2663. Let p = -154 - g. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -28\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uui when three letters picked without replacement from {i: 1, u: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d - 1. Let i(y) = -y**2 - y - 3. Let a(l) = -l**2 + 3*l + 11. Let q be a(5). Let x(c) = q*i(c) - 5*f(c). Let j be ((-9)\/6)\/(2\/(-4)). Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -5 - 0)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -h + 2, l - 5*l - 204*h - 59 = -215*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = t - 1. Let z be (-1)\/2 + t\/(-6). Suppose -z*x = -0*x - 26. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4976416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-18) - (-14)\/(-18). Let i be (z - 1) + (-1 - -6). Suppose -i*r = -0*r - d - 55, d = -4*r + 85. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2437 and 2044.\nAnswer: 2044.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19208653.1 and 3?\nAnswer: 57625959.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5538982 - -2665911. Let m = 4053071 + t. Round m to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*r = -218, 256 = -2*y - 2*r + 372. Calculate the remainder when 69 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 388 + 7\/(-14)*8. Differentiate 322*h**4 + d*h**4 - 596*h**4 - 47 wrt h.\nAnswer: 440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 9.69?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/14 + (-79)\/7. Suppose 6*k + 142 = 22. Let g = k + f. What is g rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5))**(-32)\/((i**(3\/4)*i)\/i*i*i**(2\/15)*i) assuming i is positive.\nAnswer: i**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 986592.\nAnswer: 2, 3, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67930 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 160.9 - 161. Let n = -7\/32 + -1\/288. Sort n, -0.4, h in descending order.\nAnswer: h, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.5, -14, -2\/19, -1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skuuw. Give prob of sequence wu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 25 - 4184*p**2 - 13 + 4196*p**2.\nAnswer: 12*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t - 2. Let f(x) = 4*x - 2. Suppose -3*l + 34 = -5*s, 0 = -7*s + 5*s - 3*l - 1. What is s*c(g) + 4*f(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 125341101 (base 7) in base 9?\nAnswer: 16144886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -726*r + 272246. Determine d(375).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16910977*q + 1067925 with respect to q.\nAnswer: -16910977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 7 = 4*a, -93*a + 89*a - 5*f = -9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50, 1, -94, -2, 4, -6 in descending order.\nAnswer: 50, 4, 1, -2, -6, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*g = 117*g - 4*q + 4, -5*g - 5 = -2*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w**2. Let z(j) = -524*j. What is z(q(s))?\nAnswer: 1572*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**2. Let u(s) = -163641*s**2. Give z(u(v)).\nAnswer: -53556753762*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257236666?\nAnswer: 2, 53, 2426761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of d**7\/140 - d**4\/8 - d**3 - 5. Let b(t) be the third derivative of f(t). What is the derivative of b(j) wrt j?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 42606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - dc?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13729866 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38906 by 23.\nAnswer: 38906\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 l, and 1 e when three letters picked without replacement from {a: 1, e: 3, x: 4, l: 2, q: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3649  (b) -7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 7*g = 5240000. What is g rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1517 + 2476. What are the prime factors of s?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -l**3 + l**2 + l. Let t(n) = 154824*n - 154823*n + 0 - 1. Let d be (-21)\/9 - (-1)\/3. Determine d*t(k) - x(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 73*p + 52*p + 301*p + 282*p - 45*p to the form x + b*p and give b.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105310 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -4*i - 29. Let s be m(-7). Suppose 10*d - 10*d = -10*d. Let z(a) = d*a + 17*a - 18*a + 1. Let c(j) = 4*j + 1. What is s*c(t) - 2*z(t)?\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -14*f - 4, 3*f + 46 = 2*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 9. Let n be o(6). Suppose n*a = 5*z - 30, -8*z + 24 = -4*z + 4*a. Calculate the remainder when (-2)\/(-3) + (-49)\/(-3) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 - 186. Let n = 298 + f. Suppose 0 = 3*i + i - 84. What is the greatest common divisor of n and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 15*n - 33 = 3, -132 = -2*h + 7*h + n for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 2  (c) 0.344  (d) 27  (e) -0.3  (f) -10  (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a + 27. Let r be v(8). Let m = 2 + r. Let s be (0 - 5\/m)*1. Is 1\/5 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355394.7 millennia in centuries?\nAnswer: 3553947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (9 - (9 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.48207 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 - 31. Let q = 30 - 26. Suppose 0 = -o*f - q + 10. Calculate the lowest common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -11041?\nAnswer: 11043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -1237 in descending order.\nAnswer: 5, -4, -1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -8. Let m = f - 1. Put 0, -2\/21, m in descending order.\nAnswer: 0, -2\/21, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2640 and 1918480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.438?  (a) 2\/81  (b) -5  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 22*r**2 - 108*r - 4. Give w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 68 = -28. Suppose 2*t = -r*t + 6006. What are the prime factors of t?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179408357 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 29873 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g. Suppose 8*w + 4 = 10*w. Suppose -2*f + w*l + 30 = 6*l, -5*f = -5*l. Let p(y) = 5*y - 2*y - f*y + y. Determine p(j(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37801 or -37791?\nAnswer: -37791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + u = 26, 0 = -73*o + 70*o - 5*u - 8 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k**2 - 25*k - 20. Suppose 0 = j - 24*j + 276. Does 8 divide u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 435, 806, 1157, 1488, 1799, 2090, 2361?\n\"Answer: -10*w**2 + 401*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or -1119636\/23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 + 1399*l - 1399*l + 2 - 5*l**2. What is the smallest common multiple of 9 and d(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30.24 - 0.24. Let a = 30.16 - r. Which is smaller: 1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 219 + -213. Find the third derivative of 5*s + 89*s**6 - 13*s - 42*s**y + 41*s**6 - 5*s**2 wrt s.\nAnswer: 10560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1049636 by 133.\nAnswer: -7892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10023 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t + 40 = 18. Let r = 33 - 23. Let f(v) = -4 - 3*v + 8 - 3 - r*v. Calculate f(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0097764 to 4 decimal places.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000051043 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - 0 - (6 - 17)) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1169797884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-60) - (-3*1 + 464\/145)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*r - 79*r = 9*m - 40520, 2*m - 9006 = 2*r. What are the prime factors of m?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/9))**(4\/13)\/(z**(-6)\/(z**12*z)) assuming z is positive.\nAnswer: z**(2231\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 92*p - 30. What is the units digit of i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 27*q + 32 + 33 to the form v*q + m and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8725 (base 9) in base 7?\nAnswer: 24503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - r - 18. Let c be (10\/r)\/((-1)\/3). Suppose -60 = -c*g + g. Solve g = -6*n + 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**5 + 20610*i**4 - 820479*i**3 + 6004872*i**2 - 8892660*i = 0.\nAnswer: 0, 2, 7, 31, 6830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvfp when four letters picked without replacement from {z: 10, p: 1, g: 2, v: 3, f: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/15 + 3\/9. Sort 20, q, -15, -3.\nAnswer: -15, -3, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, -4, -7, 0 in decreasing order.\nAnswer: 0, -4, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 203 - -70. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(39)\/sqrt(3)*4*4 + 1)**2 + 2.\nAnswer: 32*sqrt(13) + 3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/21  (b) -4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -485\/9 + 1931\/36. Put d, -898, -2\/9 in increasing order.\nAnswer: -898, d, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2450 = 8*i + n, -i - 2*n = -481. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003514326724 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5587 at most as big as 5586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*u = 12*u + 300. Solve 4*a - u = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 3. Suppose 7*s + 304 = 52. Let q be -5*s\/(-120) + (-14)\/4. Let h(r) = -2*r - 3. Determine q*a(m) + 4*h(m).\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (72\/(-21))\/((-2)\/7). Let m(q) = -28*q - 3 - 14 - 8*q**3 + 2*q**2 + 7*q**3 + 13*q**2. List the prime factors of m(n).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1623216 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - ((-19 - -6) + 0) - -25) + -4 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 892*p**4 + 319*p**3*w**3 + 222*w**3 + 2*w**2 + 28*w + 2 wrt p.\nAnswer: 3568*p**3 + 957*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.76 + 0.26. Let r = 138.5 + z. Let g = r - 132.3. Round g to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 12 = -3*v + 3*t, 3 = 2*v - t. Suppose 12 = 4*k - 48. Let i be -1*(-1 + 20\/k). Which is the closest to i?  (a) v  (b) 2\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 3*g**6\/8 + 119*g**5\/20 - 5*g**4\/4 - 8*g**3 + 1487*g**2. Solve n(o) = 0.\nAnswer: -8, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -3\/4*u**4 + 3*u**3 + 21 + 0*u**2 + 0*u. What is t in q(t) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + h. Let k = 121 + -118. Let n be (2 + (-25)\/15)\/(k\/(-9)). Let y(p) = -p**2 + 4*p - 1. Give n*y(d) + 2*f(d).\nAnswer: 3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 21*h**2 + 80*h + 4. Let b be o(-16). Let z = 3 + -2. Solve -b*x - 19 = z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -24*i - 12. Let x be a(7). What is x rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pmgbqigq. What is prob of sequence iqgp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(2*-4)*(-38)\/133?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + 11*q**2 + 9*q - 1. Let i be f(-10). Suppose -2*y + i = y. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 29, -0.3, 124, 15 in decreasing order.\nAnswer: 124, 29, 15, 10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-2)*(-25396)\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t + 6*t + 5*t + 9*t as g*t + o and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -194 + 232. Suppose -50 = l*y - 126. What is the remainder when (-6)\/(-4)*(-14)\/(-3) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(95) - sqrt(95)*1) + sqrt(95) + sqrt(95) + (sqrt(95) - (-4*sqrt(95) + sqrt(95)))*4)\/((-1*sqrt(180) - sqrt(180) - sqrt(180))*5*-5))**2.\nAnswer: 19\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8 - -1)*1\/1. Suppose -z = 2, 5 = -v - z - 3*z. Suppose -2*x + 4*k = -6, 39 = 2*x + v*x - 2*k. Calculate the greatest common divisor of m and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 14. Let u = -13.46465216 - -5.46465277. Let x = u - k. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 + -10 - -14 - 5) + 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -183, -271, 1, 2\/11?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 670 - 646. Let y be (-9 + 296\/l)\/(3 - 2). Which is the second smallest value?  (a) -1\/7  (b) 1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3836681 kilometers in nanometers?\nAnswer: 383668100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2 bigger than -3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.93 - -1. Suppose -4*n + 90*n - 169 = -83. Put -3, a, n in decreasing order.\nAnswer: n, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 - 5) + (3 - 2906\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 682a (base 14) to base 5.\nAnswer: 1034240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3992464 and 1008?\nAnswer: 35932176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - (1 + -1)) + (9 - 9). Suppose -z*k + 503 = w + 3*k, w - 3*k = 463. List the prime factors of w.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 2 + 11 + (1 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 4:47 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3741 is divided by 533?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w - 8*w - 8*w + (-1 + 3 - 1)*(-w - 4 + 4)*(-4 + 2 + 4) + 169 - 9*w - 169.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4317 - 8607\/2. Let n(m) be the first derivative of -7 + 105\/8*m**3 - k*m**2 - 147\/32*m**4 + 6*m. Factor n(g).\nAnswer: -3*(g - 1)*(7*g - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q. Let c(v) = -727*v + 199603 - 199603. Calculate c(p(g)).\nAnswer: 727*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1552, 12339, 41606, 98593, 192540, 332687, 528274?\nAnswer: 788541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1762717 is divided by 234.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 7*w**2 - 14*w + 5. Let f be t(9). Let q(j) = 23*j + 22*j - f*j. Let m(y) = 3*y**2. Determine m(q(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {n: 7, r: 4, p: 6, h: 1, v: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 17078679 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**3 - 4*g**2 + 8*g - 2. Let u be i(6). Let r = u + -1022. Is -1 + 2 - (r - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4 + 68*p**3 + 184*p**2 - 1616*p + 1920 = 0. What is p?\nAnswer: -30, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/6 - 20*4\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2430 and 1755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 + -34. Suppose f + 1 = -4, 2*a = f + o. Suppose 15 = 3*q + 2*r - r, -3*r = -a*q + 33. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 2:18 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -12. Let u(c) = -c**3 + 7*c**2 + c - 1. Let s be u(j). Find the third derivative of -19*b**2 + 5*b**2 + 6*b**2 + 3*b**s wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11516, -22944, -34372, -45800?\n\"Answer: -11428*m - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20990983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -16*g + 256*d - 257*d, 2*g + 238 = -3*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 192, 757, 1698, 3015, 4708, 6777?\n\"Answer: 188*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 32*b**2 - 105*b - 46. Give z(35).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25149599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -13*o. Let z be t(-3). Let i = z + -83\/2. What is the second biggest value in i, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 835302878 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7590\/131, -0.1, 4 in decreasing order.\nAnswer: 7590\/131, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-3 - (-13)\/3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53 + 58. Suppose 0 = -5*z + 2*l + 20, 5*z = 3*z + l + 8. Suppose -z*n - 1 = -v*n. Calculate the greatest common divisor of 10 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.03  (b) -2\/7  (c) -1\/4  (d) -0.0041  (e) 0.619\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 7*v**2 - 4*v - 10. Let i be x(6). Suppose 24 = o + i. Find s, given that -20\/3*s - 80\/3*s**3 + 2\/3 + o*s**2 + 32\/3*s**4 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**2 - 3*a - 4. Let r(b) = -3*b**2 + 7*b + 7. Let z(s) = -5*m(s) - 3*r(s). Let n = -11 + 6. Is 2 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19*n + 32 + 44 - 88)*((-2 + 4 + 0)*(n + 1 - 1) + 0 + 0 - n) to the form q*n + t + i*n**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1*2 - 2223\/(-252) - 5 and (-2)\/(-11) + 2023\/(-660).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 19*g + 5. Let k be a(19). What is the units digit of 228\/k - (-6)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1062, 1015, 930, 801, 622, 387?\n\"Answer: -w**3 - 13*w**2 - w + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (42\/84)\/(7\/322*-3)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s = 4*u - 2*s + 6*s + 64, 39*u + 4*s - 96 = -300 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 - -30. Let i be ((-285)\/k)\/5 - (-2)\/8. Suppose -2716 = -i*f - 281. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, o: 3, h: 6, u: 1, w: 4}. What is prob of sequence ohu?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3 - (-2 + -4))*(-88)\/(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -94188 by 4.\nAnswer: -23547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of i**3\/3 + 5*i**2\/2 + 12*i - 9. Let h be l(-6). Calculate the greatest common divisor of h and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3401 + 98*q**3 - 1558 - 1843.\nAnswer: 98*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*p**2 + 6*p**2 - 10*p**2 + (-2*p + 0*p + p)*(2*p - 5*p + 5*p) + 2*p**2 - 2*p**2 - 2*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**4\/5 - 8*c**3 + 118*c**2\/5 + 32*c.\nAnswer: 2*c*(c - 16)*(c - 5)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + sqrt(3))**2*3 - (sqrt(198)\/sqrt(6))\/sqrt(11) - (sqrt(84)\/sqrt(4)*-6)\/(sqrt(7) + sqrt(7)*-1*-4 + sqrt(7)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (801\/890)\/(-1*2\/4)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78) + sqrt(78)*-3*6)\/(sqrt(30)\/sqrt(5)*-6) + (5*sqrt(208)*-1 + sqrt(208) - (sqrt(208) + -1 + sqrt(208) + -5 + sqrt(208) + sqrt(208)))**2 + 4.\nAnswer: -2287*sqrt(13)\/6 + 13352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w + s - 46 + 1, 3*w - 6*s - 178 + 180 = -52 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 49*p**3 - 6*p**2 + 6*p + 6. Let o(a) = -97*a**3 + 11*a**2 - 11*a - 11. Let g = -9150 + 9161. Calculate g*l(r) + 6*o(r).\nAnswer: -43*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266362907.\nAnswer: 457, 582851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1, -1220, -14, 2\/5, 3 in descending order.\nAnswer: 3, 2\/5, -0.3, -1, -14, -1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(360)\/((sqrt(240)\/sqrt(4))\/sqrt(10)))\/(5*sqrt(1452)*2).\nAnswer: sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 57077 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -13*b**2 - 21*b - 24. Let g(z) = -9*z**2 - 21*z - 25. Let a(u) = 23*u - 296. Let y be a(13). Let n(f) = y*g(f) - 2*r(f). Give n(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 31. Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 148 and 28.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -22*r - 87. Let p be o(-4). Let k(i) = -5*i**3 - 2*i**2 - 2. Let z(y) = -y**2 - 1. Give p*k(v) - 2*z(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (123\/15 + -2)) + (-290862)\/161590?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*(-6)\/126)\/((-12)\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 787137 is divided by 276?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8817885.\nAnswer: 3, 5, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2625853675 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 496 + -499. What is the tens digit of (0 + 1510\/f)\/(6\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77593 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -4, 1, 3, 134, 8 in descending order.\nAnswer: 134, 8, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3549 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -302*s**4*u**3 - s**4*u - 30*s**2 - 2*s*u**3 + 2*u**2 wrt s?\nAnswer: -7248*s*u**3 - 24*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4482 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6578 by 286.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -105\/965588 and -155\/12168.\nAnswer: 225947592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 3*a + 89 = 438, -178 = -2*v + 2*a. Suppose l - v - 32 = 2*y, 3*l = 4*y + 354. Are 114 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.394 + 0.41. Let a = -0.054 - c. Is a >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10073 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 a factor of 279717831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*n + 7*n. Let g(d) = -d**3 + 5*d**2 + d - 3. Let a be g(5). What is the derivative of -m**2 + 4*m**2 + n - 4*m**a wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + 3*m - 76155 + 76147, -5*m = 5*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 5310.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 54996 - -14?\nAnswer: 549aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135150 divided by -170.\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**4 + 48588*q**3 + 291732*q**2 - 729212*q + 388896 = 0. What is q?\nAnswer: -8, 1, 12153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205825775.\nAnswer: 5, 8233031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 426730331 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -144299595 to the nearest one million.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2660699 minus 5?\nAnswer: -5.2660699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -904, -2, -1, 4, -4 in ascending order.\nAnswer: -904, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - w - 3*w)*(4 - 4 + w)*(37 - 4 + 9).\nAnswer: -126*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11892 and -14?\nAnswer: 1.66488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2063?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*z**2 + z**2 + 3*z**2)*(29 + 7 + 65) to g + w*z + d*z**2 and give d.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -10, 0 in decreasing order.\nAnswer: 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-11)*k\/k**(1\/7))\/(k\/(k**(-4)*k)*k)**13)**(-1\/36))**(1\/10) assuming k is positive.\nAnswer: k**(263\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 8*p. Let t be q(8). Let f be 0 - t\/(2\/2). Suppose -5*d + 10 + f = 0. Solve 0 = -d*k + 2 + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/(p*p\/(p\/((p\/(p\/p**(3\/7)*p))\/p))*p))\/p*p**(1\/8)*p)**3*((p*p**0)**(-16))**(-6\/7) assuming p is positive.\nAnswer: p**(1053\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 833269.\nAnswer: 833269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*z - 524790 = -142*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -21, -0.0086, -0.4?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -791 by 7.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58 - -35. Let z = i - 11. Let t = 31.4 + z. What is t rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 4*n + 160, 461*p - 456*p + 160 = -2*n. Sort 5, p, -3, -5, 1 in descending order.\nAnswer: 5, 1, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 5*c + 17, -10*x + 1353 = -8*c + 1339 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**5 + 11305*r**4 + 31956407*r**3 + 31933799*r**2 - 31956408*r - 31945104 = 0.\nAnswer: -5652, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - -1. Let i = 58 + -32. Suppose 0 = 5*d - 5*a + 6 - i, 0 = -5*d + a + 24. Solve d*m + 12 = -z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mcppdtptpmtmpcpmtppp?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d**2 + 9*d. Let h be t(6). Suppose 0 = -5*s + 4*v + 468, 0*s + 2*s + 2*v - h = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 360528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14 + 0.05. Let c = 8.91 - o. Which is smaller: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-662)\/(-8))\/((-371)\/(-1272)*8\/28) is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -96*w + 1248. Give o(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*a + 7*a + 5*a to c*a + z and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130925?\nAnswer: 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2*o + 20 - 16 = 0, -4*o = 2*z - 8. What is the greatest common factor of z and 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*-26*4\/8. Let j(w) = -w + 15*w + 5*w + b*w - 33. Is j(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.396503 - 0.696589. Let w = h + -4.7. What is w rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence elr when three letters picked without replacement from {l: 1, e: 2, t: 1, n: 1, y: 2, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + -3)*(-4 - -2). Let j(u) = -u + 4. Let o be j(s). Let y = 7 + o. Solve 4 = 3*k - y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 0.65, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(-1*sqrt(5)*-2) + 1*2*sqrt(1584).\nAnswer: 49*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.4  (b) -11  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-1)*(-12 + 6). Suppose 0 = 3*w + w - d. Suppose 89 = m - 2*z, -w*m - 406 = -8*m - 3*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, g: 1}. Give prob of picking 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -3*o + 4. Suppose 3*f - 6*f - 3*z - 24 = 0, 2*f - z = -28. Sort 5, o, f in decreasing order.\nAnswer: 5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.27 - -21.73. Let f = -1346 + 12112\/9. Which is the nearest to z?  (a) 0.3  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1606 is divided by 534.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -7. Let b(i) = -o + 11*i + 5. Does 6 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77004 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 443*h**2 - 14172*h - 135. Give n(32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of 0*d**6 - 1\/70*d**7 + 0 + 1\/60*d**5 + 0*d + 0*d**4 + 0*d**3 + 30*d**2. What is the third derivative of m(b) wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -404037, -404081, -404125, -404169?\nAnswer: -404213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 2:05 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 13 = d, 0*m + 2*m + 2*d = 14. Differentiate 250*a + 12 + 13*a**m - 250*a wrt a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56 + 2\/5*t**2 - 66\/5*t.\nAnswer: 2*(t - 28)*(t - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*x - 35 = 24, -3*x - 114 = -2*z. Let i = z - 47. Put 0, -6, i in descending order.\nAnswer: i, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*r - 17*r = -747 - 10107 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3. Let p(a) = -45*a**3. Let w(m) = -m**2 + 32*m - 111. Let t be w(28). Calculate t*p(r) + 18*i(r).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.04 in 1887, 4, 0.5, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11\/3  (b) -5  (c) -3  (d) 0.1  (e) -1  (f) 2286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ly when two letters picked without replacement from bbybyyyyyylby?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -250 - -249. Let k = 219\/4 - 55. Suppose 0 = 5*b - 15, b + 3 = -2*p - 4. What is the second biggest value in i, p, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8565416 divided by 136\nAnswer: 62981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/7, -9, 3, 5, -1\/3, -92 in descending order.\nAnswer: 5, 3, -1\/3, -12\/7, -9, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 626048 is divided by 31302.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1008)\/28 - -34 - 19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 14*w - 7. Give n(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**3 + n**3 - n**3)*(1 + 0 + 3) - n**3 + 0*n**3 - n**3 + ((n + 2*n - 2*n)*(-1 + 1 - 2) + n + n + n + 4*n - 2 + 2)*(4 - n**2 - 4).\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23088323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 485, 1958, 4413, 7850, 12269, 17670, 24053?\nAnswer: 31418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j + 7. Let y(o) = -2 - o**2 - 4*o - 3 - o + 7. Let d be (-6)\/(-8) + (-38)\/8. Let z be y(d). What is b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 2*m**2 + 0*m + 0*m**3 - 1\/60*m**6 + 0*m**5 + 0 + 5\/24*m**4. What is the second derivative of d(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1866*x**2 + 5624*x**2 - 3703*x**2.\nAnswer: 55*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.221 + 2.220999795. What is o rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-123 - -112) + (13 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 17 = -22*t, -35*i = -4*t - 38*i + 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 181 + -173. Solve c = -2*g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.0290596402 rounded to 5 dps?\nAnswer: -1.02906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y**3\/5 - 8*y**2\/5 - 16*y\/5 + 32\/5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2420349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1840?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.6, -4, 11\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19009427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6131 + 6132. Which is bigger: p or 0.1817?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -33  (b) -5  (c) -0.4  (d) -0.2  (e) 0.4  (f) -4  (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -105 + 316\/3. Let l = -2294 - -2290. What is the third smallest value in p, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1781.02 + -1781. Let c = -0.07 + 3.07. Is q equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 748407496 and -2.\nAnswer: -1496814992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6060 + 1f?\nAnswer: -6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12921, -12932, -12943?\n\"Answer: -11*x - 12910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 - 43. Let n be 92\/3 - (-2)\/(-3). Let c be n\/(-7)*(-4)\/10. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 86 + -58. Suppose -3*n + k = n. Sort n, 1, 0, 4 in decreasing order.\nAnswer: n, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 459387913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x - 43*x**3 + 4*x - 49*x**3 - 43*x**3 + 124*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -7, -21, -41, -67?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 4*w + 260 = 0. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 2\/5  (c) 7738  (d) -2\/11  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 284 and 9?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**2\/(m\/m**(-7))*(m\/(m*m**(-3)*m))**16 assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -80728477, -80728479, -80728481?\n\"Answer: -2*w - 80728475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13012549*k**2*p - 47623951*k**2 + 2*k + 12*p**3 wrt p.\nAnswer: 13012549*k**2 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*u - 30*u = 0. Let q be 33 + 1*(0 + -1). Suppose 3*n = q + 61. Solve 3*j = -u*j - 5*p - n, 0 = -5*j + 3*p + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {v: 1, o: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2 = -5*t + p, 5*p = 0. Let i = t - -3. Suppose -19 = -4*y + j, i = -y - j + 3. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01064 to four decimal places.\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*c - 150*c - 4369 - 4369 + 30*c + 8740.\nAnswer: -215*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(8\/7)*o*o*o*o*o\/((o\/(o*o**14)*o)\/o) assuming o is positive.\nAnswer: o**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -100566576 - -100566619.025963. Let f = -0.035563 + b. Let t = f + -43. What is t rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (5 - 3) + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1399600196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 4*f**2 - 119*f + 370. What is z(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -4. Calculate the remainder when 67 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 2:34 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k**2 - 2*k + 6. Let s be x(4). Let l be 2\/(-2 - 186\/184*-2). Let m = l - s. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 972 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32.5 - 32. What is the closest to 0.1 in -0.4, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 16*g**2 + 12*g + 308. Let p be b(-11). Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 246*m**3*u**4 - m**3*u - 829*m**3 - 10*m**2*u**5 + 3*m*u**2 wrt u?\nAnswer: 5904*m**3*u - 600*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 8:02 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 634559095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -5. Let h(s) = -3*s + 1 + 0 + 0*s + 2 + 2*s. Let w be h(k). Solve f + w = 2*q + 2*f, -5*f - 9 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**5\/4 - 7*k**4\/12 - 7*k**3\/6 - 8*k**2 - 4*k. Suppose -78*o = -15*o + 441. Is x(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -4449*u**3 + 11*u**2 + 6250. Let o(m) = -1483*m**3 + 4*m**2 + 2084. Let d(r) = 11*o(r) - 4*w(r). Find the first derivative of d(c) wrt c.\nAnswer: 4449*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2520\/(-2772))\/(((-8)\/4)\/(-2)*-1).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -982444 and -1.5.\nAnswer: 1473666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -210 - 424321?\nAnswer: -430031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/707 and -143\/70?\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1172 take away 0.317713?\nAnswer: -1172.317713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3599844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1176*o - 5*o**2 + 628*o + 629*o as j*o + q + k*o**2 and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + j + 7, u - 18*j = -17*j + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 4*y**5 + 2140*y**4 + 29304*y**3 + 66176*y**2 - 266752*y = 0?\nAnswer: -521, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 9 + 2)*(3 - o - 3) + o + 2*o - 4*o + (4*o - 4*o + 2*o)*(-1 + 2 - 3))*(2*o**4 + 0*o + 0*o).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert a717 (base 15) to base 5.\nAnswer: 2112342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**3*w - 4*g*w**3 + 1146*g*w + 5*w**3 - 238*w**2 - 6*w with respect to g.\nAnswer: -6*g**2*w - 4*w**3 + 1146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d*d**(-1)))\/(d\/d**6)*d**(1\/5)\/d**(-7))\/(d**8*d**(-1\/5)\/d)**(-2\/3) assuming d is positive.\nAnswer: d**(251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 658*z**4 + 1024 wrt z?\nAnswer: 2632*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 489, 910, 1329, 1746?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + sqrt(5) + -5 + sqrt(5) - 4*sqrt(35)\/sqrt(7)*-3.\nAnswer: -9 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/18*(3 - 5). Sort j, -3, -5, 3 in decreasing order.\nAnswer: 3, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 8*d + 169. What are the prime factors of x(-10)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.3, 1\/19, -16, 1, -2 in decreasing order.\nAnswer: 1, 1\/19, -0.2, -0.3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from exfxev. What is prob of sequence xfe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 18*b + 5. Let z be w(5). Calculate the highest common divisor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37897*s**2 - 18950*s**2 - 18946*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 6*z - 6. Let v(t) = t**3 - 10*t**2 + 9*t + 8. What is the lowest common multiple of v(9) and s(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.04  (b) -94  (c) -73.2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -24\/13, 2, -6\/769?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.74 + 0.26. Suppose -2*b + 6 = -2. What is the nearest to -0.3 in q, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 116, 115, 114, 113, 112, 111?\n\"Answer: -m + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2\/9, 0, -4 in decreasing order.\nAnswer: 0, -2\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x - 29. Let m be f(0). Find the common denominator of (m - -1)\/(4 + 1) and -15\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/9 - 66\/(-432).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 1. Let k be u(-1). Suppose 0*l = 5*o + 2*l - 40, -5*o - 5*l + 40 = k. Suppose 0 = -4*h + 3*h + 23. What is the remainder when h is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 40 or -1402?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -5*a**5 + 30*a**4 + 8735*a**3 + 172520*a**2 + 1247040*a + 3120640 = 0.\nAnswer: -23, -8, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 37716.924 hours in weeks?\nAnswer: 224.5055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 198241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -212?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 246 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*v - 1154*v - 31014 = 24*v + 17148 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 13) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 8*o + 11. Let t be a(-9). Suppose -2*b = -3*b - t. Calculate the common denominator of -43\/20 and b\/(-7) - 2317\/(-980).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*r - 3*r - r)*(-2*r - 3*r + 4*r)*(-2*r - 3*r + 7*r)*(r**2 + 2 - 2).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 12 = 3*g + 4*k, 0 = g - k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2873377 and 383045?\nAnswer: 1020048835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8547, -9255, -9963, -10671, -11379, -12087?\nAnswer: -12795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + p + 2. What is g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**2\/2 - 600*m - 8351\/2 = 0.\nAnswer: -1193, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 126 + 12544?\nAnswer: 12670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47 - -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 551, 1016, 5.7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 + 6 = 27*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 156431712*x + 2039240043270912.\nAnswer: 3*(x - 26071952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 5*b + 16, 38*d = -5*b + 41*d - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o**3 - 84*o**2 - 16*o + 69. Give m(11).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -5, -3, 4.\nAnswer: -5, -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 = 5*l + 11*z, 4*z - 70 = 5*l + 29 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 158 + -1739\/11. What is the nearest to 0.1 in 1, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000571565 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1349*g - 672*g - 692*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 106696979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 161732621 to the power of 1\/3, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - -7. Calculate the highest common factor of 24 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = -16*z + 45 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 9*r**2 - 10*r + 16. Let a be s(7). Let g = 5 + a. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6022956 and 51?\nAnswer: 102390252","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 39.00158 - 39. Round j to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of x**3\/3 - 3*x**2 + 5*x - 1. Let i be f(5). What is the units digit of 2 + i + 5 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, z: 11, p: 1, y: 3, a: 3}. What is prob of sequence az?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242506?\nAnswer: 2, 11, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(-11)\/r)\/r)\/r)\/r)**5 assuming r is positive.\nAnswer: r**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142485844?\nAnswer: 2, 35621461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-40)*(17 - 13)*30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -637 = 68*r - 5805. Calculate the remainder when 2722 is divided by r.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a**2. Suppose -5*f - 13 = -4*y, 2*y + 3*f + 1 = y. Let o(l) = -l + l - 6*l + y*l. Give n(o(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y + 4. Let f be l(2). Suppose 7*p = f*p + 10. Factor -3*h**2 + 5*h**2 + 11*h + 5 - 15 - 3*h**p.\nAnswer: -(h - 10)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3885\/(-148) - 2318698\/(-88360)?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(756) - -1*sqrt(756)) + (sqrt(63)*2)\/sqrt(3))\/(sqrt(15)\/(sqrt(80) + sqrt(5)) + sqrt(108)*2))**2.\nAnswer: 34300\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 44*h + 806. Give b(-16).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/6)\/(12\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*2*sqrt(91) - (sqrt(91) + -2*sqrt(91)*2 + sqrt(91)))*4)\/(-3*(sqrt(700) + sqrt(700) + sqrt(700)*-1*-4)))**2.\nAnswer: 832\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 4*c + 15, 0*p - 24 = 5*p + 3*c. Let y be (3*(-1)\/(-9))\/(p\/45). Let d(q) = 2*q**2 - 6*q - 5. Does 15 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-4))\/((-1)\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3181 + 3181. Which is the fourth smallest value?  (a) -9  (b) 2\/7  (c) s  (d) 2  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d - 9. Let q(k) = 4*k - 8. Give 3*q(s) - 2*w(s).\nAnswer: 4*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + sqrt(78)\/(2*sqrt(54) + sqrt(54))).\nAnswer: 2*sqrt(13)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1327587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 906111.7 millennia?\nAnswer: 9061117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -67c + -1?\nAnswer: -67d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.4091 - 0.0391. Let s = b + -2.57. What is the fourth biggest value in 1\/9, -1, -0.5, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 722 a factor of 1414924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*t + 26. Let b(a) = a + 7. Let n be b(t). Let 6\/7*x**n - 2\/7*x**3 + 2\/7 - 6\/7*x = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - 6*z + 5. Let v(s) = 9*s + 16*s - 7*s - 32 + 5 - s**2. Let b be v(16). Let c be h(b). Solve 3*i = 2*o - c*i - 19, -3*o - 4 = 2*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 0*l**3 - 130*l + 0*l**2 + 0 + 1\/60*l**5 - 1\/4*l**4. Determine m, given that d(m) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.23 - 24.23. Let j = z - -18. Let i be (72\/54)\/((8\/(-18))\/(-1)). What is the closest to j in -4, 2, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-4)*(-1)\/(-3). Suppose -r = -4, l - 10 = 3*l - r. Let x = 0.06 - 0.56. Which is the nearest to d?  (a) l  (b) x  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from dhdddhhhddhhhhhhdhh?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 + 4*q**2 - 42*q - 198. Calculate l(-5).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -273, -227, -179, -129, -77?\n\"Answer: k**2 + 43*k - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 345 - 342. Which is smaller: 2.7 or d?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 40*k - 1. Let w be u(1). Suppose -38*s - 3 = -w*s. Suppose a = 2*a - s*p - 12, 20 = a - 5*p. Solve a = -4*o + f + 12, 0 = 5*o + 5*f - 8 - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10\/37 in -1, 9, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 4:44 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**3 + 177*r**2 + 761*r + 407. What is j(-84)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gccmmggcmgmgmgm. What is prob of sequence mgc?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 - 114936.\nAnswer: -114937.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 20. Suppose -3*m + 0*c - 3 = -2*c, -t*m + 8 = c. Let f(y) = 40*y**3 - 2*y + 1. What are the prime factors of f(m)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 23698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 - 46. Let v(k) = 46*k. Calculate n(v(p)).\nAnswer: 4232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - 4*c - 4 + 1 + 0*c**2. Suppose -3*b + 1 + 17 = 0. Let f(j) = -6 - 3*j + 6 - 1 + 0*j - 1 - j**2. Give b*f(g) - 4*y(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that j**4\/3 + 2*j**3 - j**2\/3 - 2*j = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -227*y - 1231 = -620 - 5605 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 329186198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 545355*j - 4165. Let y be l(23). What is y rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64\/24 - 2111171\/(-87)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1147.5 + 1173.212. Round w to zero decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 98 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 5*p + 20 + 53, m - 2*p - 22 = 0. Is (5\/4)\/(m\/528) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 51*z**2 - 65*z + 733. Give f(50).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + -0.099999871. Round b to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 7 = -31. Let u(z) = z**2 + 12. Let w(c) = -c. Let m(o) = u(o) + w(o). Let n be m(0). Calculate the highest common divisor of n and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**2 - 7*u - 1. Let t be p(4). Suppose -t*h + 47 - 12 = 4*l, 5*h = -l + 30. Solve -w - l*x = -17, w - 5*x + 11 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1435852.\nAnswer: 2, 11, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(1900) - (-1 + sqrt(1900))*-3) + sqrt(1900) + 0 + 5 + 2*sqrt(1900))**2.\nAnswer: -420*sqrt(19) + 93109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 71199425 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**2. Let v = 61 - 143. Let r be v\/(-5) + (-6)\/15. Let t(o) = r*o - 6*o - 9*o. Determine t(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gzpp when four letters picked without replacement from {m: 1, z: 1, p: 2, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 576625 is divided by 192195?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2010\/597577 or -1?\nAnswer: -2010\/597577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.18 in 8\/17, 238, -3?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y**2 + 16*y - 4*y + 4*y**2.\nAnswer: -8*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 107441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 - (14 + (-6 - 15)) - -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 445, 953, 1591, 2425, 3521, 4945, 6763?\nAnswer: 9041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3463626 to the power of 1\/2, to the nearest integer?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 1071\/2, 0.3, 2\/13 in descending order.\nAnswer: 1071\/2, 0.3, 2\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -453*m. Let l(n) = -3452138 + 12*n + 6*n + 3452138. Give z(l(p)).\nAnswer: -8154*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 929163087 a multiple of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 844 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -4 - ((-36)\/(-4) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, a: 11}. What is prob of sequence xaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnwtwnnwticn. 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 0 = 2*p - 956 + 946 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 193723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279 = 5*b - 141. Suppose 3*u = -3, -3*w - 5*u + 1 + b = 0. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 81999936 = -0*d. Suppose -5*q - 4*h + d = 0, -3*h = -4*q - 7*h + 16399984. What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 128 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 140438783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10220020 - -101122022020?\nAnswer: 101111102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 6:43 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + z - 4. Let i be l(0). Let f be 6\/(-21) + i\/(-14). Which is the third biggest value?  (a) 3  (b) f  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -245 + 364. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 3:53 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 18*r**3 + r**2 - 8*r + 6. Calculate the smallest common multiple of 2760 and q(2).\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2583?  (a) -4\/5  (b) -4  (c) 0.4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + 46*f**3 + 45)*(f**2 + 4*f**2 - 3*f**2).\nAnswer: 92*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/(2*sqrt(8) + sqrt(8)))\/(sqrt(10) - (sqrt(30)\/sqrt(3)*6 + sqrt(10))).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*k + 2798, 46*k + 4200 = 49*k + 4*b. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -245*s**4 - s**2 + 1330*s + 109560161 wrt s.\nAnswer: -980*s**3 - 2*s + 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (36\/10)\/(4\/30). Suppose 4*p = 7*p - s. Let j = p + -7. Solve -j*o = -5 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(4410\/(-12))*5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((5 + 6*(-1 + -1*(sqrt(425) + 2)))**2 + 0).\nAnswer: -77345 - 3900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -2a?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v + 2. Let n be s(-4). Let l = -25 + 35.1. Let q = l + -10. Which is the second biggest value?  (a) -0.1  (b) n  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 485218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 208454*i + 1876106. Determine o(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*p - 17 = 3*o - 210*p, 0 = -o + 21*p - 64*p + 83 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1831204690572*s**3\/5 + 10987242206508*s**2\/5 - 84378483*s\/5 + 162\/5.\nAnswer: -3*(s - 6)*(781282*s - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 11) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of f**7\/140 + 3*f**6\/40 - 49*f**5\/40 + 33*f**4\/8 + 2086*f**2. Let r(d) = 0. What is d?\nAnswer: -11, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 228*i**2 - 5*i - 9. Calculate y(-1).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 4, 0, -85 in ascending order.\nAnswer: -85, -36, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + (-72)\/90.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -470\/9 - -52. What is the second smallest value in -1\/9, l, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14.6 + -0.6. What is the second biggest value in -0.3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -305 - 3?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqwhqdudwwdqqddd. What is prob of sequence uq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110 + 100111?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82063 by -13755.\nAnswer: 82063\/13755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.28 - -11503023.\nAnswer: 11503023.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(300) - sqrt(300)) + -1)*2)**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*k - 226900 - 226898 + 5*k + 453798.\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -35*m + 1764. Let g be r(50). Put -2, g, 0 in descending order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p - 2*p**4 + 6*p + (-3*p + p + 3*p)*(33 + 12*p**3 - 33).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22 in 4, 0.2, -1\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 384 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 - -71. Let k(m) = 17*m + 2. Let z(a) = -a - 1. Let g(c) = -k(c) - 4*z(c). Is 18 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/1*40\/(-110)*-1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 2*v + 3 + (-14*v - 26 + 26)*(2 - 4 + 0).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -16*k - 1. Let t(h) = -17*h - 1. What is 7*i(v) - 6*t(v)?\nAnswer: -10*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1*(-5 + -1 + (-1 + sqrt(720) - sqrt(720))**2 + 5 + -2 + -1)*3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.21345334 to 3 dps.\nAnswer: 0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*sqrt(78)*-5 - sqrt(78)) + sqrt(78))\/(3*sqrt(294)))**2.\nAnswer: 5200\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*(sqrt(110)*2 - sqrt(110))*-6)\/((sqrt(90) - (-2*sqrt(90) - sqrt(90))*-4) + sqrt(90) - (-5*2*sqrt(90) + sqrt(90))) + 5.\nAnswer: -8*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 154 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of -n**3\/6 - 2*n**2 - 168*n. Let j(h) = 5. What is -3*j(i) - 4*q(i)?\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 45*p + 23. Let u(m) = 34*m + 16. Calculate 5*h(r) - 7*u(r).\nAnswer: -13*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 40*n**2 - 36*n - 114. Let z be b(39). Suppose 0 = 5*a - z*o - 15 + 22, 3*a + 5 = 2*o. Which is smaller: a or -4\/89?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8183*0.03.\nAnswer: -245.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18.9919 - -2.0081. What is the closest to 0.1 in 0.1, q, -2\/11, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2949 is divided by 977?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*i + 77791 = 5*i, -4*k + i = -103726. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 319094 + -318910.153. Let c = g - 182.9. Let q = c + -0.8929. What is q rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -14*n - 5. Let i be s(-5). Suppose -5*b - 5*z + i = 0, -b + 6*z = 2*z + 7. Suppose 3*k - b + 0 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6910 = 66*k - 7082. Let u = 225 - k. Solve 0*v + 2*l - u = 5*v, -4 = 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 2754.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(1700) + ((sqrt(1700) + 1 - sqrt(1700) - sqrt(1700))**2 - sqrt(1700)))*-4 + (sqrt(1700) - (-1 + sqrt(1700) + -3) - ((sqrt(1700) + 1)**2 + 5)).\nAnswer: -42526 + 460*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 102 = 21*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/1906, 1, -1\/4, 4.718?\nAnswer: 1\/1906","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -p - 6 + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of 0 - 17*w**2 + 0*w - 1\/60*w**4 - 1\/100*w**5 + 1\/300*w**6 + 0*w**3. Factor g(f).\nAnswer: f*(f - 2)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 1. Suppose 10 = 4*k + k - 3*l, k = 4*l + 2. Let t be -6 + (0 - k\/(-1)). Calculate the remainder when 8 is divided by y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 9) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}