{"text":"Question: Which is the nearest to 100?  (a) 5  (b) -139  (c) 0.049  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(280\/10))\/((-1)\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 13*s + 6 = 0. Which is the closest to s?  (a) 1\/10  (b) -0.1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 97 = 22. Let d = c - 14. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32*a**2*b**4 + 35*a**2*b**2 - 3*a**2 + 2*a*b**4 + 350*a*b**3 + 139*a*b**2 - 2*b**2 + 1 wrt b.\nAnswer: -768*a**2*b + 48*a*b + 2100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h + 3. Let m be f(-3). Let u = m - -18. Suppose -v + u = i, -4*i + 26 = -3*v - 54. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 65a - 1?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and -0.0561868?\nAnswer: 0.4438132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1588*g + 10301*g + 94754 - 145276 = 508261 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -20, -47, -86, -137, -200?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*7*(-12)\/84. Solve 5*u + 4*t = -11, 0 = u + v*t - 4 + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x - 72 + 155 - 77. Let n be b(-8). What is the units digit of ((-3)\/(n\/4))\/(4\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 2798 and 374.\nAnswer: 1046452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.3 and -0.07?\nAnswer: 0.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of (-32 + 29)*-1528*-6*(-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4754639 rounded to two decimal places?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - k. Let o be y(-1). Suppose 8*b - 7*b - 12 = o. What is the highest common factor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**9\/q)\/q**(3\/11))\/(q**(1\/4))**(-9\/2) assuming q is positive.\nAnswer: q**(779\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 18*d - 27. Determine w(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/2)*q)**(-10)*q**(-4\/7)\/(q*q**5*q))\/(q**(2\/29)*q**(3\/5)*((q\/(q\/q**1))\/q)\/q**(-1\/3)) assuming q is positive.\nAnswer: q**(-71782\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.07035006 and -3.\nAnswer: -2.92964994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(14))\/(-6*(-1*sqrt(2) - sqrt(2))).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 11  (b) -63  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1845812.\nAnswer: 2, 19, 149, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/((-2)\/(-28)))\/1. Let x be (-48)\/28 + 2 + (-2)\/7. Suppose x = l - s - 1. Calculate the remainder when 42 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 111000?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, e: 1, h: 2}. Give prob of sequence le.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/5  (b) -206\/5  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/18*(2 + -1). Let q = 39 + -27. Let x = 9 - q. What is the second biggest value in -2, y, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, u: 11}. What is prob of sequence uuuu?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 95 - 115 = 0. Suppose -h*f + 1380 = -4*y, 4*f + 5*y = -f + 1745. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000688 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7 - 3*v + 0*v - 3 + 2. Let f(t) = -5*t. Let u(o) = -6*o - 1. Let l(g) = -4*f(g) + 3*u(g). Let q(k) = -3*j(k) - 5*l(k). What is q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, p: 1, e: 3}. What is prob of picking 3 e?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 87.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**6\/20 - 57*h**5\/20 - h**4\/2 + 38*h**3 - 5*h + 9. Factor d(q).\nAnswer: 3*q*(q - 38)*(q - 2)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 - 846\/(-12) - 45\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16654189*c = -16654086*c + 5047 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.6 - 3.7. Let k = -29 - -28. Let l be (k - 0\/5)*5. Which is the second smallest value?  (a) l  (b) -2\/9  (c) -4\/9  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 404\/29 - 980\/87. Let g = -1091\/11 - -99. Let k(l) = l + 10. Let o be k(-6). Which is the biggest value?  (a) g  (b) z  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*m + 48*m = 1518. Find the common denominator of 4\/(-6)*m\/(-242) and -18\/41.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*l**2*r**2 - 36*l**2 wrt r.\nAnswer: -40*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -483692667, -483692668, -483692669, -483692670, -483692671, -483692672?\n\"Answer: -c - 483692666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 5*r + 0*r**2 - 2 + 6*r. Suppose -3*b + 0*b = 0. Suppose b = 3*v - 5*z + 55 - 21, -5*v - 30 = -3*z. Give g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(12)\/sqrt(4) + sqrt(3))**2 - (-1 + sqrt(3) + 3)**2.\nAnswer: -4*sqrt(3) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 611\nAnswer: -4\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + 35.188. Let p = 0.18799901 - x. Round p to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -318, -329, -336, -339, -338, -333, -324?\n\"Answer: 2*i**2 - 17*i - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -196213 (base 10) to base 12\nAnswer: -95671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.27763 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = h + 6051. Let v = h - 1354. What are the prime factors of v?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 65979.43 litres?\nAnswer: 65979430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 447 divided by 19495.\nAnswer: 447\/19495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l. Let w(o) = 28*o + 1. Let t(u) = -w(u) + 3*x(u). Give t(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, 0.4, 6.960034?\nAnswer: 6.960034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -j**2*z - 827*j**2 - 31*j*z + 139*z - 173 wrt j?\nAnswer: -2*j*z - 1654*j - 31*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**4\/5 - 59836*m**3\/5 + 956992*m**2\/5 - 3827456*m\/5 = 0. Calculate m.\nAnswer: 0, 8, 29902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4589 is divided by 144?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 37440\/1309 or 28?\nAnswer: 37440\/1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-99)\/(-18)*88\/121. Let p(c) be the second derivative of 0*c**x + 0*c**3 - 31\/2*c**2 + 0 - 7\/20*c**5 - 6*c. Differentiate p(o) wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-27))\/((-21)\/882)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1214614 or 1214600?\nAnswer: 1214614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-4)*12\/(-126). What is the third smallest value in -0.5, -9\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (4 + -1 + 1 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8.56 + 3.2. Let m = 4.79 + g. What is m rounded to one decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 700*h - 693*h + t - 4 = 0, -2*h + 4*t + 14 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/6*1272\/2385.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 15070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -1854*f + 7421. Give u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (512\/(-224))\/(4\/14 - 48\/126). Solve -75*f = -63*f - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/63 and -103\/70248.\nAnswer: 1475208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 5:24 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 548397671 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 954288391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 + -55. Let r = -257\/2044 - 5\/292. Which is the second biggest value?  (a) 3  (b) -6\/11  (c) f  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*a + 4 = 3*l, -5*a + 5 = 4*l. Suppose l*m + 4*p = m + 116, 3*p = -2*m + 62. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + z + z + (-2 + 2 - 2)*(-3 - 2*z + 3).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 2*d = c, 0 = 5*c - 3*d. Suppose c*k - 137 = -5*k - 2*o, o = -k + 28. Let i = 5 + k. What is the greatest common factor of 128 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 508*d + 271*d - 10292 + 1907 - 38355 = 0 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - 30) + -1 + 6 + 6 + -3 + -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(240)*2 + sqrt(240)) - sqrt(240))\/(sqrt(768) - (sqrt(768)*2*-1 - sqrt(768) - sqrt(768))))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -63c946 (base 13) in base 6?\nAnswer: -122103424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 8, -1, 5 in descending order.\nAnswer: 8, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-3\/11)))\/n**(2\/5) assuming n is positive.\nAnswer: n**(-37\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.232 and -19.\nAnswer: 4.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = v. Let t = 2 + v. What is the derivative of -2*q**4 - 2 + q**2 - q**t wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -250 + 238. Let h(l) = -18*l - 654. Let t be h(-36). Sort 1, m, t in descending order.\nAnswer: 1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -48*t**3 - t**2 - 17*t - 17. Suppose -6*v - 5*v = 11. Does 14 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5523 and 0.1?\nAnswer: -552.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -982\/3 less than or equal to -326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 7*h - 5. Let k(s) = -s**2 + 6*s - 1. Let d be k(3). Let j be y(d). Suppose j*u = -a + 44, -28 = u - 3*u - 2*a. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 3 - (1 - (-35)\/5). Let m = 67 + -37. What is the smallest common multiple of v*3\/(-2) + 0 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 57740 = -5*f, 128*f - 124*f - 46160 = -4*x. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 419.7287 decades to months.\nAnswer: 50367.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/210460 and -101\/49520.\nAnswer: 841840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 8. Let y be b(9). Let l(a) = a**3 - a**2 - a. Let s(o) be the third derivative of o**4\/12 - o**3\/3 + 19*o**2 - 5*o. What is y*s(f) - 2*l(f)?\nAnswer: -2*f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1361 is divided by 438?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -30. Solve 5*d + p + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3708*p**2*w**6 - 2*p**2*w**2 + 12*p**2*w + 19*w**6 + 456*w**2 wrt w.\nAnswer: 444960*p**2*w**3 + 2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 47 = -25. Suppose g - 21 = -3*h, h + 0*g + p = 4*g. Solve d + h = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 189, 232, 0, 2 in increasing order.\nAnswer: 0, 2, 189, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, y: 4, k: 9, n: 1, z: 3}. Give prob of sequence zy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3198 and 4038.\nAnswer: 2152254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6 + 23473503.\nAnswer: 23473502.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-623545)\/(-9412) + 10\/(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204.8 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 16*y**3 - 2*y**2 + 5*y - 4. Let t be j(1). Suppose -11*o + 8 = -t*o. Let d = 0.2 - 0.1. Which is the closest to d?  (a) 5\/3  (b) -0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 59\/5 + (-3)\/(-15). Solve v - f = 3*u, -3*u = 2*v + 3 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - d**2 - 1. Let y(i) = -7*i**3 - 5*i**2 + i - 6. Let u(z) = 4*p(z) - y(z). Let c(r) = -7*r**3 - 2*r**2 + 2*r - 5. Give -2*c(x) - 5*u(x).\nAnswer: -x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -773*v + 5 - 778*v + 1568*v + 3 + 2 to the form z + f*v and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -19112*y + 344013. Determine z(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 68*w**5\/9 - 20203*w**4 + 121176026*w**3\/9 + 166256915*w**2\/3 - 1427004436*w\/9 - 35858420\/3 = 0.\nAnswer: -6, -5\/68, 2, 1339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 141876 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuxiu. Give prob of picking 1 i and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b + 338. Let g be p(67). Solve -2*w = w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + r**2. Let s be u(-2). Let v(l) = -l**2 - 5*l. Let o be v(s). Suppose 0 = 4*b - 4*d - 16, 5*b + d - 5 = 9. Solve -15 + b = o*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 77 = -5*m, 5*f - 3*m + 41 = 281. What is the least common multiple of 34 and f?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 38336, 76920, 115510, 154106, 192708?\n\"Answer: 3*q**2 + 38575*q - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 1, s: 3, e: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.440018 nanoseconds in milliseconds?\nAnswer: 0.000006440018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/22)\/((-3068)\/286858)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from lfoowfoo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1269362491185.3+5\nAnswer: -1269362491180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12021121211 (base 3) to base 16.\nAnswer: 19624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(2\/3))**(1\/9)\/((i\/(i\/(i**(-3\/5)\/i))*i)\/(i*i\/i**(1\/3)))*i**(-8)\/i**(-8)*(i**(2\/17)\/i*i)\/i**2 assuming i is positive.\nAnswer: i**(1562\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -246390, -246347, -246330, -246351, -246422?\n\"Answer: -2*d**3 - d**2 + 60*d - 246447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 3430?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236*o - 158*o - 1404 = 0. Solve o*l = -185 + 77 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 y when four letters picked without replacement from yeyeyyyyeyeyye.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.04 + -0.04. Let z = -3.6 + f. Let i = -7 - -4. Which is the smallest value?  (a) -1\/4  (b) z  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u - 3*u + 761 = -v, 0 = -3*u + 8*u - 287*v + 290*v - 255 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -100*w**4 + 61*w**2 + 180*w**2 - 199938*w + 199935*w wrt w?\nAnswer: -2400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/9*(-24)\/16. Suppose p + 12 = t*p. Solve -p*d + 12 + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0663, -1018, 5, 2 in decreasing order.\nAnswer: 5, 2, -0.0663, -1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68773306?\nAnswer: 2, 7, 37, 103, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1034 - -1121. What is the greatest common factor of i and 406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {d: 6, j: 3, l: 3, b: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 85 in -101.7, 1\/6, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19f (base 16) to base 8.\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**3\/7 + 2*x**2\/7 + 44*x\/7 - 80\/7 = 0. Calculate x.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -13, -120, -399, -934, -1809, -3108, -4915?\n\"Answer: -14*f**3 - 2*f**2 - 3*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**5 + 292*v**4 - 2886*v**3 - 11332*v**2 - 1192*v + 15120 = 0.\nAnswer: -2, 1, 14, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 743.\nAnswer: -3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21004 by -202.\nAnswer: -10502\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 410 + -409.727. Let l = q + 13.427. What is l rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(91 + 1) - 1. Let z be (-6)\/10 - r\/(-35). Put -4, 0.1, z in increasing order.\nAnswer: -4, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + (-21 - (-14 + -8 + 15) - -6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 488068799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p - 60 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/9 - 130\/(-18). Let n = i + -1. What is the units digit of (-4)\/8 - (-9)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 10*u**2 - 7*u + 4. What is o(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -15, -14, 1, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -10, 1\/4, 0.98, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-32)\/(-144) + 38\/(-9). Let w = 5.27 + -1.27. Let t = -2.05 - -2. Put k, w, t in decreasing order.\nAnswer: w, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -91 + -24. Let v = m + -3. Let f = v + 118. What is the biggest value in -4, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*p**3 + 7*p**3 + p**5 + (3*p**4 - p + p)*(p - p - 2*p).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -5*j - 1. Let w be (-8)\/2*(-7)\/(-28). Let c be y(w). Suppose -c*p - 5 + 17 = 0. Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v**3 - 21*v**2 - 10*v + 2. Let u(j) = 0*j + 40 - 53 + j. Let x be u(3). Let o be g(x). Solve 0 = -n + o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2046 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -996018210.999271 - -996018857. Let k = -646 + c. Round k to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-408)\/216 - 3\/27\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - d. Let n(v) = -3*v**2 - 3*v - 1. Let b(c) = n(c) - 4*r(c). Let w be b(-4). Find the common denominator of 2\/(-1*w\/(-23)) and 43\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (-7007)\/351) + -28?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + 1.1022. Round w to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 - -3.93. Let n = 3.9 - v. Let o(r) = 3*r - 1. Let h be o(1). Put n, 0.1, h in decreasing order.\nAnswer: h, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/y**(-2\/31))\/(y\/((y\/(y*y**(-13))*y)\/y)))\/(y*y*y**(-4)\/y)**(-14))**(-1) assuming y is positive.\nAnswer: y**(866\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3064, 3067, 3070, 3073?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x + 321. Let c(m) = -3*m - 159. What is 7*c(n) + 4*q(n)?\nAnswer: -n + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -634509771*r - 4*r**2 + 634509771*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -4. Let w = 5920302\/77 + -76886. Let p = 6\/7 - w. What is the biggest value in p, i, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6 - -36*6\/3. Let q = a - 48. Calculate the greatest common factor of 153 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**8\/84 + 22*m**7\/315 + 16*m**6\/15 + 76*m**5\/45 - 16*m**4\/3 + 8532*m**2. Suppose h(b) = 0. What is b?\nAnswer: -3, -2, 0, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 4:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -747135800 rounded to the nearest 1000000?\nAnswer: -747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 - 5*i + 2. Let k be x(1). Which is the closest to k?  (a) -0.2  (b) 0.07  (c) 3\/8  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 (base 15) in base 10?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 2 - -5 - 7 - (9 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 17, 51, 99, 161, 237?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 10:18 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z - 5, 4*j + 11141*z + 7 = 11136*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44.779992861 + -44.78. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)*-2*6 + -5*sqrt(171)*1 - (5*(sqrt(171)*-1)**2 + sqrt(171) + 5).\nAnswer: -860 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 136 = -4*z. Let r = z - -63. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.05 rounded to 0 decimal places?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*2\/12)\/((-8)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2120*n**2 - 2121*n**2 + 4244*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20182 != 20183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30180310*j*x**3 - 8*j*x - 15*j - x - 1725 wrt x?\nAnswer: 181081860*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 738 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**2 - 2*a + 5. Let t(m) = m**2 - 1. Suppose -4*z = -6 + 10. What is z*s(f) - 4*t(f)?\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - 8. Let y be f\/27 + 10\/3. Solve 0 = -y*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 581 is divided by 569?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -246 - -1471\/6. Is q at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 385?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0057 - 2.9943. What is the nearest to -0.3 in 1\/6, j, -5, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212212 is divided by 477.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 4450676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3311032 (base 4) to base 9.\nAnswer: -23467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjhjhhh. What is prob of sequence hhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 216344247 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((0 + -3)*2\/(-9)*-6)\/(-26). What is the third biggest value in -1\/4, z, -5, 8, 40?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320\/(-66) - -8 - (3 + -25)\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/215 and -38\/43?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 75*v - 11. Let r be i(1). Suppose -r*g + 59*g = 0. Sort 3, 7, g, 4 in increasing order.\nAnswer: g, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4155.0858 + 4170.6858584. Let s = 15.6 - y. Round s to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 320533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*k**4 + 2*k - 3*k**2 + 0*k + 6*k**4 - 2 + 5*k**4 to the form i*k**4 + o*k**2 + b + p*k**3 + v*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3359 + 34838 = 21*v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = q - q - 75*m + 2263 + 1578, 4*q - 271 = -5*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -35*k**5 - 95*k**4 - 5*k**3 + 115*k**2 + 40*k - 20 = 0. What is k?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 + 454\/10 - 2\/5 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121.67 - 1846881.\nAnswer: -1847002.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1818 a factor of 75320208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 76 + -77. Let i(a) = a**3 - 11*a**2 - 22*a - 281. Let v be i(14). What is the closest to k in 1\/2, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 270 + 246. Solve t - 4 = -i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5920 + -5915.186. Let f = u + 0.186. Which is the nearest to 3.6?  (a) f  (b) -5  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v + 19241 + 19659 - 58455 + 19555.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/110422897 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -370\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 373 = 122. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.116114005 to 4 dps.\nAnswer: -0.1161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3439 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: Four letters picked without replacement from {a: 2, t: 1, n: 1, h: 5}. Give prob of sequence hhnt.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 13*o**4\/12 + 7*o. Let f(c) = c**2. What is a(f(d))?\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1573073 - -140?\nAnswer: -1572733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 203 and 72947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2227\/17331 - -5\/327. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 288?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 9. Let b = 0 + g. Let d = -2 - b. What is the lowest common multiple of 7 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11183\/973  (b) -0.07  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 2*d**2 + d**2)*(-284 - 495 - 148).\nAnswer: -1854*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -407*s**2 + 370*s**2 - 35*s + 45*s - 929*s**5 wrt s?\nAnswer: -55740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from evsetv. Give prob of sequence st.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2 - 11 + 5 - k. Let a = 305 - 316. What is the smallest common multiple of 6 and g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.3 - -22. Let n = -5.3 - r. What is the fourth smallest value in 0, -2\/7, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q + 9 + 8 = 0. Suppose -3*f = -4*f + 2. Put q, f, -3 in increasing order.\nAnswer: -3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 638 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/704 and (6\/(-56))\/3*(-13108)\/(-232).\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 16*n + 1. Let b be (-21)\/(-18) - (-1)\/(-6). List the prime factors of a(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 884 divide 15646199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 10011100000011100010111?\nAnswer: -10011100000011100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2052.5 rounded to the nearest 10?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-8) - (-16350)\/(-120). Let j(q) = -3*q - 3. Let l be j(-2). Let u be 1*l*h\/(-51). Solve 2*i = -s + u, -4*i - 1 + 17 = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/50350 and -93\/281960.\nAnswer: 1409800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6383191753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 21, 63, 143, 267?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 121, -3, 3, 314, 5 in increasing order.\nAnswer: -5, -3, 3, 4, 5, 121, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3 + 32*f**2 + 103*f + 70.\nAnswer: -(f - 35)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 12*x**2 + x + 12. Let f be z(-12). Suppose a + 21 - 23 = f. Solve a*b + 4 = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 102849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1102 - -1605. Let u = -1500 + z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00011011637222 to 7 dps.\nAnswer: 0.0001101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*k + 25 - 46 = 0. Suppose 1 = q + t, 0 = q + 2*t - 5*t - 5. Let r(m) = -2*m - 3*m - q*m. Determine r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 24 = -10. Suppose -19*d + g*d + 4 = 0. Let h be ((-20)\/(-25) - 1)\/(d\/4). What is the nearest to 1\/4 in -5\/8, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u. Determine f(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (114 - 270 + 129)*(-2*g + 8*g - 4*g).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -183557 and 0.3862.\nAnswer: -70889.7134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 739*i - 243*i - 246*i - 248*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000110110110001110100 (base 2) to base 7.\nAnswer: 25506202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from hhhyhhkge?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -278, -278, -276, -272, -266?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 13) + -8 + (2 + 1 - (17 - 34))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137227, -274455, -411683, -548911, -686139?\nAnswer: -823367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 223 + -120. Let j be (-8)\/6*(-3381)\/(-46). Let f = j + k. What is the greatest common factor of f and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(121) + sqrt(121) + (2*sqrt(121) - sqrt(121)) + sqrt(121)) + -5*sqrt(121)*1)\/(-1*(sqrt(396) + 1*sqrt(396))))**2.\nAnswer: 9251\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*g**2 - 1210*g - 24756?\nAnswer: 6*g - 1210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -151?  (a) -4\/15  (b) -1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 132068.1338 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s + 1. Let z be v(-1). Suppose z*p - 5 = -2*h - 1, 2*p + 8 = 0. Calculate the lowest common multiple of 7 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 216\/5 - 14\/70. Solve 3*u + 31 - c = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 18889787 and 13.\nAnswer: 18889800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 6*i - 5. Suppose -i*j + 5*p + 4 = 3*p, -3*p = -4*j + 9. Solve -3*d - 23 = -4*n, -12 = 5*d + 5*n + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -42, -22, 172, 636, 1466, 2758?\n\"Answer: 16*r**3 - 9*r**2 - 65*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(5 - i**3 - 5) + 4*i**2 - 10*i**2 + 4*i**2 + i**3.\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6681\/658 + -71\/7. Which is the closest to 2\/7?  (a) v  (b) -2\/5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 623 + -412. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -278*(-9)\/(-24)*4. Let s = -148 - q. What are the prime factors of s?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -20, -4*b - 1251 + 21603 = h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 1. Let w(u) = -u**3 - 10*u**2 - 2*u - 21. Let v be w(-10). Let i be ((v - -7)\/(-54))\/((-2)\/(-3)). Which is the nearest to -4?  (a) 1  (b) i  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + 3*z + 1. Suppose 44*f - 40*f + 16 = 0. Give m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 115 + z - 101 + 0*z. Let j be y(-12). Solve 2*p = j*l + 1 + 7, -2*p - 2*l + 12 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -5*c - 3*r, -2*c + 199*r - 204*r = -20 - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2417051196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 25*q + 21. Let h(l) = 17*l + 14. Let s(r) = -7*h(r) + 5*k(r). Differentiate s(g) with respect to g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, -1, 214663 in decreasing order.\nAnswer: 214663, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 198 and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a0 - -310?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 7*a - 11. Suppose 2*v = -3*v - 5*g + 315, -v + 4*g + 68 = 0. Suppose 0*y = 8*y - v. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10010122122 - 2?\nAnswer: -10010122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40.26 + -40.261867. Round x to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - k + 6. Let n be h(0). Suppose 0 = -0*q + q + 20. Is (n\/5)\/((-4)\/q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2251*p**5 - 12*p**4 + 48*p + 30. Let a(t) = -2*t**4 + 2*t + 1. Let f(m) = 6*a(m) - n(m). What is the second derivative of f(o) wrt o?\nAnswer: 45020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 4:21 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/((a*a\/(a*a*a*a**(5\/3)\/a*a))\/a)*(a**(-2\/7))**20)\/((a**(-1)\/a)**(30\/13)\/(a**(-1)\/a)**(-1\/69)) assuming a is positive.\nAnswer: a**(-844\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*z + 6 + 1, 2*z = 0. Let n(v) = 2*v**2 + 4*v - 2. Is n(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 84.3 - 81. Let d = -0.7 - z. Let w = -1.51 + 1.61. Which is the biggest value?  (a) d  (b) 2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -7*p + 3. Let h(z) = 1. Let i(c) = a(c) - 2*h(c). Determine i(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 0*y - 1 + 1\/2*y**2. Let q(r) = -10*r. Suppose 59 = t + 57. Determine t*q(o) + 22*n(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/4)\/((-494)\/(-76))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-15))\/((-7)\/(-9))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhhhhjjhhhhhjhh. Give prob of sequence jh.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -25*d**2 - 4*d + 6. What is m(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 2*j - 825 = -21*j. Put j, 11, 0 in increasing order.\nAnswer: 0, 11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**4 - 473*b**3 + 1516*b**2 - 5*b - 4*b**4 - 1545*b**2 wrt b?\nAnswer: -24*b - 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.09, -0.75, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 147*n - 2. Is h(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7260)*2)\/(sqrt(12) - (sqrt(84) - (sqrt(84)*-3 + sqrt(84)))\/sqrt(7)) + (sqrt(750)*-4)\/(sqrt(486)*-4 + sqrt(486)).\nAnswer: -277*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmjjjj. Give prob of picking 1 m and 3 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 6498\/17 + 228\/17*b + 2\/17*b**2 = 0?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/167 and 103\/6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -h + 3*h - 8, -p + 5*h = -2. Let z be -2 + (5 - -2) - 208. Let y = -214 - z. Which is the biggest value?  (a) y  (b) p  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-84)\/(-630)*153\/(-6))\/(1\/5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 560 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 75*p**2 - 9*p**2 + 4 - 1.\nAnswer: 66*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(-49)*7\/9. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -199 + 2187\/11. Let a = 11.91 + 1.29. Let l = a + -13. What is the closest to -0.1 in l, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -575 = 4*i - 9*i. Suppose y = -2*y + 192. Let z = i - y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 2*m**2 + 13*m + 60. Let w be s(-4). Let y be (-19)\/(-4) - (-2)\/8. Let o be 82\/w + (y - 7). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**1))**(-5\/8)*(r**(2\/7))**(3\/8))**(-6) assuming r is positive.\nAnswer: r**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*x**3 - 6*x**3 + 53*x - 40*x wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23021 + -1?\nAnswer: -23022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -341*n + 3*q + 11 = -339*n, 5*n + q = -15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 1 - 1 = -4*u, 5*u - 5 = 5*j. Suppose -76 = -2*w + w - j*h, -3*h = -w + 91. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 5 + sqrt(396))**2 + -4 + sqrt(88)\/sqrt(72) + (sqrt(11) - (4 + -1*sqrt(11))).\nAnswer: 217*sqrt(11)\/3 + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5 = -1. Suppose -10 = -s*b + 2. Suppose 0 = -5*t + 29 + b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/2 - (-120)\/(-64). Let h = 6.8 - 14.8. What is the nearest to h in j, 1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32669.\nAnswer: 7, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h + 6. Let d(k) = -7*k - 13. Let w be -4*(3 + 51\/12 + -4). Let p(y) = w*m(y) - 6*d(y). Let x(z) = -4*z**2. Determine x(p(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -60, -127, -174, -189, -160, -75, 78?\n\"Answer: 2*v**3 - 2*v**2 - 75*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 2*a - 2587, -3*a - 12*u + 13*u = -3884. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 48 or 1515\/32?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -15) + (22 - 10 - 18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(((-30)\/(-315))\/((-51540)\/(-7))). What is c rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -18. Let t(x) = x**2 + 8*x + 10. Let w be t(s). Sort -1, w, 3 in decreasing order.\nAnswer: 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + 5*g**2 - 4*g + 5. Suppose 13*v + 100 = 9*v. Let z = v - -19. Let s be i(z). Is -7 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6454709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -26016, -104206, -234562, -417084, -651772, -938626?\n\"Answer: -26083*i**2 + 59*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 - 5\/(15\/6). Suppose -5*y + g = 7. Let h be ((-32)\/6)\/(y\/6). Solve l + 4*a = 3*l - 28, -3*l + h = -4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -677384, -677369, -677354, -677339?\nAnswer: -677324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -i + 2*a, -i - 2*a = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -109, -218, -419, -742, -1217?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/4)*v*v*v\/(v\/(v*v**(-3\/11)))*v)\/(v**0)**(-1\/51) assuming v is positive.\nAnswer: v**(131\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + -4 + 5)\/3 + 2 + -1. Sort -6, 403, j.\nAnswer: -6, j, 403","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 0.5  (c) 3  (d) 18  (e) 24  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5 = y - 2*y, 9 = 3*c - y. Suppose 3*w - 5*w = c. Is (-7 - -5)*19\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 417733 at most as big as 417733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(-14)\/(-35)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/36*81\/(-18). Solve 0 + 1\/4*p**2 - r*p**3 - 1\/4*p**4 + 1\/2*p + 1\/4*p**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 4. Suppose v*h - 32 = -h. Let w(y) = y**3 + 5*y**2 + 3*y - 4. What is the remainder when h is divided by w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of 2*g**7\/7 - 17*g**3\/6 + 16*g. Find the second derivative of r(k) wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268*t + 28952 = -326*t + 1592*t - 52350 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 13944696.211.\nAnswer: 13944696.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29362622.\nAnswer: 2, 103, 142537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/5*225\/(-120). Factor a + 3\/4*f**4 - 3\/4*f**5 + 3\/2*f**3 - 3\/2*f**2 - 3\/4*f.\nAnswer: -3*(f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 8980155 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {w: 3, t: 1, v: 6, m: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o**3 + 4*o**3 + o**3 + (-11*o - 11*o + 6*o**3 + 19*o)*(0 - 8 - 5) to t*o**2 + f*o**3 + a + s*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + ((sqrt(539)*-1 - sqrt(539))*-5 - sqrt(539)) + -5 + (sqrt(539) + (sqrt(539)*-1 + sqrt(539))*-3 - (sqrt(539)*-1 + -3)))*-2)**2 + -1.\nAnswer: 1232*sqrt(11) + 260891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 71 - 71.31. Sort v, 0, 2\/7 in decreasing order.\nAnswer: 2\/7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 29 + 15*v**2 - 13 - 7 - 9. Determine w(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 113 and 31753?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 + 0 - 43 + 5 - 10*f**2 to the form h*f**2 + g*f + s and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2007779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17746866?\nAnswer: 2, 3, 985937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 7*o**2 - 2*o + 3. Let t(g) = -g**2. Let y(z) = d(z) + 5*t(z). Let k be y(2). Which is smaller: k or -2\/33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*z**2 - 1 - 32*z**2 + 3)*(4*z + z - 6*z).\nAnswer: 6*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -4, 11, 42, 95, 176, 291?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4654480 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7 + 22)*(-1 - -2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 216 and 120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**3 - a**2 - 4*a + 4. Let c(v) = 20*v + 1. Let x be c(1). Suppose x - 9 = 4*b. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 1 - 5. What is the remainder when 2 + 24 + (d - -1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10568 and 56?\nAnswer: 73976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 124 (base 6) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 388646327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, k: 3, g: 2, d: 1, x: 1}. Give prob of picking 1 g and 1 s.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 153*u**2 - 2*u. Suppose v - 7*v = 6. Is n(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 708171 is divided by 353787.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 times 35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -77.51 + 0.51. Let a = -1204.9 + 1290. Let i = a + s. What is i rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64167903*w - 68541093 wrt w.\nAnswer: 64167903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -106 in ascending order.\nAnswer: -106, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2. Let p(y) = 48*y - 38. Let w(d) = 4*d - 11. Let l(o) = -p(o) + 3*w(o). What is l(n(a))?\nAnswer: -36*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 2:26 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -i**7\/840 + 11*i**6\/360 - i**4\/8 - 56*i**3\/3 + 76. Let s(b) be the third derivative of w(b). Determine s(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 838*j + 152756. Calculate v(-268).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.693 rounded to 1 decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 8 - 12 = 0. Suppose -5*l + z = -10. Suppose 5*s + 6 = -19. Sort s, l, 1 in increasing order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(136)\/sqrt(4))\/(sqrt(22)\/sqrt(44) - sqrt(2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, -5, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from heedgghnnnekg. What is prob of sequence egne?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3650 and 105.\nAnswer: 76650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w - 29 - 4*w + 29.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -6*s - 1. Suppose -57 + 187 = 2*k. What is the remainder when k is divided by d(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 4*v + 154, 5*w + 5*v + 172 - 22 = 0. Let k = -31 - w. Suppose 18 = k*y + 3*y. Solve 2 = 2*g + 8*p - 4*p, y*g = 5*p - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 479*u - 3907. Let s(r) = r. Calculate o(s(y)).\nAnswer: 479*y - 3907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 1:30 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3116 and 129560164.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 5*v + 5*v)*(-1 + v + 1) - 2*v**2 + 6*v**2 - v**2 + (-v + 1 - 1)*(-1 + 1 - v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 819786 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -819 - 9644*r + 379 + 440 to the form j*r + t and give j.\nAnswer: -9644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 3*c**2 - 5*c + 9. Calculate u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 4*y + 28 = -0*y, -16 = 4*i + y. Put 20, 2, i in descending order.\nAnswer: 20, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-25))\/((-1289)\/(-32225)). Let f(j) be the second derivative of 4*j**3\/3 - j**2 - j. Give f(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16801430*k**3*x**2 + 240*k*x**2 - 5109*k*x wrt k.\nAnswer: -100808580*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 83. Let t be k(0). Suppose 3*d + 233 = -5*w - 0*w, -3 = 3*d. Let u = w - t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 13*k**2. Let h(r) = 2108768*r. Determine h(t(i)).\nAnswer: 27413984*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 12:58 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273984 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -70.65 and -0.3.\nAnswer: 21.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - 3 - 1 - 2. Let z(m) = -2 - 279*m**3 + 286*m**3 + 13 + 6*m + 17*m**2. Let x(g) = 4*g**3 + 9*g**2 + 3*g + 6. Let v(j) = 5*x(j) - 3*z(j). Give v(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/781 and (3\/(-720))\/((-16046)\/60568).\nAnswer: 46860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 h when four letters picked without replacement from {h: 9, l: 10}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 50 + -34. What is the greatest common factor of 112 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of f**4\/4 - 2*f**2 + 3*f + 7. What is the remainder when p(2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.955823 nanograms in milligrams?\nAnswer: 0.000002955823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-4)\/(-26) + (-1309)\/143.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away -4319?\nAnswer: 4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 7) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of g**5\/20 + 2*g**4\/3 - g**3\/3 - 3*g**2 - 2*g. Let o be q(-8). Suppose 4*w - o = 22. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 1356 - 1359 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -41.7558  (b) -0.5  (c) -354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from {l: 4, m: 2, z: 1, t: 1, w: 2, g: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-5))\/(4\/60*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 1. Suppose 4*l + 8 = 3*v, l + 4 = 4*v - 3*l. Let t be n(v). Solve 3*d = 9 - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2689 + 2689 - 10*d to c*d + v and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 297468687*q**5 - q**4 + 546351471*q wrt q.\nAnswer: 5949373740*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/6)*(b*b*b*b**(-20)*b)\/b)\/(b*b\/(b*b**(-3)\/b)*b**(-20)) assuming b is positive.\nAnswer: b**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76 + 129. List the prime factors of (-3 - 0)*5\/((-15)\/j).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 57 + -28. Suppose -26*s = -d*s + 69. What is the remainder when 44 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of 0*w**2 + 0*w**4 + 0 + 1\/21*w**3 - 2*w - 1\/70*w**5. Factor g(y).\nAnswer: -2*y*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-18)*h*h**(3\/13) assuming h is positive.\nAnswer: h**(-218\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 587 (base 14) to base 8\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 9:30 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1256*y - 25964 - 22267 = 13313 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -50133.613?\nAnswer: -50128.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 164\/10 + (6\/10 - 1). Suppose -u*i + 63 + 177 = 0. Calculate the highest common factor of i and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 9:15 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52710210 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0293 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0311914046 rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**7\/105 + 17*d**5\/20 + 7*d**4\/24 + 2*d**3\/3 - 40*d**2. What is the second derivative of j(q) wrt q?\nAnswer: 24*q**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 494*j - 1639*j + 3435 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 180493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 3 = 3*a, 3*a - 4*a = -2*d + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 8:04 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 17*o**2 - 67*o - 1. List the prime factors of a(-7).\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/(5\/(5\/(-1))). Let q = 76 + b. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11445?\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of -p**8\/1680 + 58*p**7\/75 + 543*p**6\/100 + 1223*p**5\/75 + 3263*p**4\/120 + 136*p**3\/5 + 4585*p**2. Find b, given that s(b) = 0.\nAnswer: -1, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 178 + -176. Solve u*s = -2 - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -143*r + 55. Let p(m) = 8*m - 3. Determine -55*p(a) - 3*w(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 4:54 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 2*u + 242807, -3*z + 13324 = -3*u - 132353. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5 = 0, 0 = -y - y + 2*f + 48. Suppose y*q + 13 = 36*q. Which is greater: 2\/1229 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 4*w**2 - 3*w + 431. Let a(r) = 7*r**2 - 5*r + 865. What is 3*a(d) - 5*m(d)?\nAnswer: d**2 + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*c**2 + 90*c**2 - 249*c**2 + 91*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) -9\/5  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396)\/sqrt(81) + sqrt(44).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -1 + z**3 + 0*z**2 - 1\/2*z**6 + 0*z + 0*z**4 + 0*z**5. What is the third derivative of s(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 8*d - 44 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -98640\nAnswer: -39456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 - 13*p**3 + 3*p**3)*(6 + 0 - 3) - 8*p**3 + 12*p**3 - 6*p**3.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1498 and 25\/856?\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24549 - 24536 + 98166 - 24545 - 24536 - 36*f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*d - 366*d = -1741 - 811 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 159104352 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: -2788 divided by -68\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6*a**2 + 7*a - 9. Let h be -5 - 230\/(-45) - (-44)\/9. What are the prime factors of x(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106 and 13886?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/n)**(-43)*((n*n\/n**2)\/n)\/(n*n*n*n*n*n*n*n\/n**(2\/125)*n*n) assuming n is positive.\nAnswer: n**(4002\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -2*h + h + 2, 6 = 3*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 5*h = -28, 8*b - 13*b + 12 = -2*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**4 + k**3 - k**3 + (k + 2*k**2 - k)*(3*k + k - 2*k)*(k - 4 + 4) - 88*k**4 + 148*k**4 + 359*k**4.\nAnswer: 424*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 857142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**2 - 4. Let m(c) = -4*c**2 - 7. What is 5*f(h) - 3*m(h)?\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 14) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sazu when four letters picked without replacement from suuuaza.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3405 + -2611. What is the remainder when b is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*h - 4*g - 277 = 0, -1108 = 4*h - g. Let p = h + 399. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0434597 to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7080)\/(-472)*8*((-5)\/(-1))\/(-25)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 2040 = 8*u. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 8 = -14*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1303 + 1307. Let m = 0.2 - 0.1. Let f = -115 - -114. What is the second biggest value in f, -0.2, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y**2 + 4*y - 30. What are the prime factors of a(-13)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -12*z + 35. What is the units digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 17295*y - 190141. Give t(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f + 9*f - r + 18 - 54 = 6*f, -99 = -8*r - 3*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16377680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 14019.9525 to the nearest integer.\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*h + 10. Suppose j - 288 = -h*j. Suppose 1244 - j = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1115804710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249777059.\nAnswer: 7, 19, 38327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*u - 5*r, -3*r + 7 = 5*u - 4. Let n(o) = -9 + 2 - o**2 + 6*o + 4. Let b be n(u). Solve b*p + 4 = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380295 is divided by 126730.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pmei when four letters picked without replacement from peeemeemeeiieefme.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-229 + 1141 - 58)*(3 - 4 - 1)*(-p**2 + 4*p - 4*p).\nAnswer: 1708*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -4. Suppose -14 - 11 = -5*s + 5*x, 0 = -h*s + 4*x + 22. What is the second derivative of 0*c + c - c**3 + s*c**3 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47113651 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/2  (b) -331  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5268*w - 5296*w + 454 + 50 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272405 is divided by 136197.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -150.229 + 0.229. Let q = f - -149. What is the second smallest value in 27, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t - t - 4 + t + t**2. Let m be j(-3). Calculate the common denominator of 23\/20 and 101\/(-12) - (-1)\/m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32884 times 3\nAnswer: -98652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, q: 13}. Give prob of sequence uu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 5*x - 2*x)*(1 - 2 + 0) - 2*x + 3*x + x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 654871084 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 23947 + -2*(-8 - -7). Suppose 2*h - q = -3*i + 5*h, -3*i + 5*h = -23957. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 - 7*m - 3. Let f(l) = -2*l**2 + 8*l + 3. What is -5*f(o) - 6*s(o)?\nAnswer: -2*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2164 and -0.3.\nAnswer: -2164.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*u = -66, -2*u - 259 = -2*p - 183. Calculate the remainder when 417 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - -6. Let k = -122 + 130. Calculate the least common multiple of k and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2520\/450*(-6)\/36*-30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -11*b**2 + 160*b. Let z(g) = 30*g**2 - 432*g. Let o(l) = -27*d(l) - 10*z(l). Let a(f) = 9*f - 365. Calculate o(a(q)).\nAnswer: -243*q**2 + 19710*q - 399675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 391, 385, 379, 373, 367, 361?\n\"Answer: -6*o + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -68 + 55 + 2 + (-2 - 20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*n - 30*n = -1008. Let h = -48 - -6. Is n smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.73 + -19.23. Let d = 3 + -3.2. Let y = d + 0.3. Which is the closest to y?  (a) -1  (b) -1\/4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 4. Suppose -4*v + f + 20 = 0, v = -3*k + 38. Suppose -l = -1 - 2. Solve m + 2 = -2, 0 = l*o - m + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -37 + 19 + -42 + 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7854 and 25147318?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/20*1\/(-1)*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -6  (c) -2  (d) -2\/7  (e) -4\/3  (f) 3115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**2 - 4*m + 104. Determine b(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 12 - 3)*(100*p + 7 - 46*p - 62*p).\nAnswer: -56*p + 49","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -330312313 - 2?\nAnswer: -330312321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 455894 - -1?\nAnswer: 455895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 10\/3. Let q(k) = -k**2 - 6*k + 9. Let g = 9 - 16. Let f be q(g). Which is the closest to 0.1?  (a) f  (b) 1\/5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**5 - 8*q**4 - q**2 - 5*q - 5. Let n = -7 - -12. Let a(l) = l**5 - 7*l**4 - 4*l - 4. Let j(c) = n*a(c) - 4*i(c). Let j(p) = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 11*t - 27. Let u be q(8). Put u, -1, 3 in decreasing order.\nAnswer: 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1430459505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -7 + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -71. Let z be 0 + 22 - c\/9. Solve -s = 2*m - 8, 4*m - z = -7*s + 2*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, e: 1, n: 1, h: 2, s: 1}. Give prob of sequence nhhs.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 383 + -367. What is the lowest common multiple of 117 and o?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9598, 19192, 28780, 38362, 47938, 57508?\nAnswer: 67072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2\/5 + 43636*t\/5.\nAnswer: -4*t*(t - 10909)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -11*b - 17. Let g(l) = 3*l + 4. Let f(s) = 7*g(s) + 2*w(s). Let p be ((-2)\/5)\/((-5)\/(-100)). Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-58*x**2 + 536*x**2 + 637*x**2)*(-x + 3*x + 0*x) as b*x**2 + o*x + z*x**3 + n and give z.\nAnswer: 2230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 949 - -941. Suppose 272*k = 277*k - o. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 times -0.03\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + (1*sqrt(847))**2).\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**7*i\/i**(2\/9)*(i\/(i*i\/i**(-2\/5)))\/i**(-2\/3))\/(((i**(4\/9)\/i)\/(i*i\/(i*i**(-6)*i)))\/((i*i*i\/i**(-1))\/i*(i**0*i)\/i*i)) assuming i is positive.\nAnswer: i**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 2*f. Suppose f = -w + 4*w - 36. Let y = 6 + w. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -2*z**2 - 856*z - 91592 = 0.\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5735 (base 10) in base 12?\nAnswer: 339b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.5, 2, -15.\nAnswer: -15, -1, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 240\/(-110) + 1*2. Let m = 10.1 + -10. Suppose 2 = -p + 1. What is the closest to p in n, m, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4\/9, -18 in descending order.\nAnswer: 0, -4\/9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 10:30 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, 1, -8, 8 in increasing order.\nAnswer: -8, 1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-4 - -5 - (14 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z + 9. Let m(x) = x + 11. Let g(f) = -4*m(f) + 5*n(f). Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/26)\/(33\/(-6))*11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t**(-4)*t*t)\/t*t*t\/t**(6\/7))**(-17\/4)*(t*t**1)**15\/(t*t**(1\/3)*t\/((t*(t\/t**6*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(1937\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3.4. Let b = 8 + -7.87. Let z = b - -0.07. Put -0.4, z, k in descending order.\nAnswer: k, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*g - 43*g = 82. Let y(b) = -2*b**2 + 87*b - 189. Is 16 a factor of y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 465009 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1324 is divided by 494.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 6. Suppose t - 4*t + 6 = 0. Calculate the smallest common multiple of t and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 1 - 7 = 2*k, 5*v = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13507086 divided by -56046.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/(-42) - -6)\/(-1 + -3).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 468\/104 - (-57904009)\/2 - 9. What is n rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 9906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - q)*(6 + 15 + 17 + 2 + 2 - 2 + (-1 + 0 + 0)*(0 - 2 + 1) - 2 - 1 + 1 + 3 + 4 + 21)*(1 - 2 + 2).\nAnswer: -67*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 64221290 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8398010.\nAnswer: 2, 5, 839801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 2 = -w. Suppose -24*q - w = -25*q. What is the remainder when 119 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -606 = 2*r - 10. Let c = -210 - r. What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -v**3\/3 + 19*v**2\/2 - 25*v - 971. Calculate g(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212467 - 35*z**2 - 127*z**2 - 39*z + 212470.\nAnswer: -162*z**2 - 39*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1111.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 2*c. Suppose -4*m + 6665 = 5*l, c = 4*m - 6*l + 2*l - 6620. What are the prime factors of m?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*b**2 + 92*b**2 - b**3 + 113*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 82*l - 2 - 119*l - 176*l - 51*l in the form w*l + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94)\/8 + (-31)\/(1364\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-9)*24\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1616624 divided by -70288\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express y**3 + 2*y**4 + 1 - 14*y - 16*y - y**4 + 26*y as d*y**4 + g*y**3 + i*y**2 + r*y + u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1496\/(-296) + 4 + 1. Suppose -h + 398 - 397 = 0. Is k less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n**2 - 2*n. Let a(g) = 18*g**2 - 167*g + 78. Let l(b) = a(b) - 4*r(b). Let l(i) = 0. Calculate i.\nAnswer: 1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -404 (base 15) in base 9?\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a + 1. Let o(p) = -2*p**2 + 8*p + 8. Calculate 5*o(g) - 40*s(g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2\/9 - 15592*b\/3 + 233780\/9.\nAnswer: 4*(b - 11689)*(b - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254*n - 3458 = 7464 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24649, 14, 3.\nAnswer: 3, 14, 24649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(-42)*((-2535)\/105 + 7 + 18)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)\/f)\/(f*f**7\/f)*(f*f\/(f*f**(-1\/3)))\/(f**(-2\/13)\/f*f) assuming f is positive.\nAnswer: f**(-527\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 4*s + 38, -3*c + 32 = c - 4*s. Suppose -5*h - 5 = -c*h. Is h less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42085351.\nAnswer: 7, 11, 29, 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/12 - (-2809)\/(-4). Suppose -3*p - 561 = 2*w - 2*p, -w - 5*p = 258. Let c = w - g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -83.9 + 7.9. Let v = 85 + o. Which is the nearest to 2\/3?  (a) 1  (b) -2\/7  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - j = -6. Let n be 44\/24 + (-2)\/(-12). Suppose -34 = -2*w + n*v, 5*v - 39 = -4*w + 2. Solve -3 = 3*a, j*p - 2*a - w + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -894267*w + 11625480. What is f(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 144.7 + -145. Which is the nearest to w?  (a) -2  (b) 0  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -71*w + 27. Suppose 18 = 6*s - 12*s. Is y(s) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26108490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2)\/t*t)**(-2\/85) assuming t is positive.\nAnswer: t**(4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*h - 3899 = -4323 - 9344 for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 8*b - 5. Let f be c(-9). Let u be ((-6)\/(-9)*-58)\/(f\/(-30)). Suppose 4*p - u = -6*p. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23952 and 83832.\nAnswer: 167664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*c + 68 = 0, -3*g + 43 = -4*c + 8*c. Solve b - 7 = 3*h, -5*b - h = -0*h + g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + -21 - (-3 - -17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -47d14e (base 15) to base 14\nAnswer: -6562c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 309 + 9. Let a = l - 104. Suppose -4*s + 28 = -a*s + 4*g, -3*s + 4*g - 8 = 0. Solve 3*c = c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h**2 + 2*h - 3. Let a be k(1). Suppose 5*u + 15 = 0, -118 = -a*z - 3*z + u. Calculate the greatest common factor of z and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of p**5\/12 - 1069*p**3\/6 - 11*p**2 - 193. Let g(k) = k**2. Give g(t(r)).\nAnswer: 25*r**4 - 10690*r**2 + 1142761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 92098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (46\/(-2346))\/((-3)\/(-54)*-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**2\/9 + 209330*u\/9 - 18436528\/9 = 0. Calculate u.\nAnswer: -104753, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1151673 - -0.5375.\nAnswer: -1151672.4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 38188637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.13849 + 0.19251. Let p = 123 + -122.931. Let o = z + p. What is o rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6028\/484 + (-48)\/(-88)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(17) + -3 + sqrt(17) + sqrt(425) + -3 + 4 + (((sqrt(833) - (sqrt(833) - (sqrt(833) + 1))) + -2 + sqrt(833))*-2)**2.\nAnswer: -105*sqrt(17) + 13330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-3))\/(w**(-2\/33)\/w*w))\/(w**(-20)*w\/(w*w*w**(2\/3))))**(-24) assuming w is positive.\nAnswer: w**(-5208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 169776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 + -87. Let n = r + -10. Find the common denominator of -91\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 + 7554141*z**2 + 15108291*z + 7554147.\nAnswer: -3*(z - 2518049)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6306650, 6306651, 6306652, 6306653, 6306654, 6306655?\nAnswer: 6306656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -401474, -802919, -1204364, -1605809, -2007254, -2408699?\n\"Answer: -401445*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 22*c**2 - 170*c\/3 - 64\/3 = 0.\nAnswer: -1\/3, 32\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 97935.45 months?\nAnswer: 816.12875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*a - 2*a + 7*a)*(0 + 0 - 4*a)*(a + a - 3*a) in the form h*a**3 + o*a + n + r*a**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 111101 (base 2) in base 10?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-246)\/(-205) + 34\/5. Let g = 47 + -22. Suppose 3*k + g = w*k. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 5*h, -2*y - 3*h + 6*h = 0. Let o = 23 - 20. Suppose 3*w + 5 = -r - 0*r, 0 = 2*w + 3*r - 6. Sort y, o, w in decreasing order.\nAnswer: o, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19056594.\nAnswer: 2, 3, 3176099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does -6727\/6821 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20440804*l**2 + l**3 + 20440804*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17149 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, t: 1, d: 1, y: 2}. What is prob of sequence ykty?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*l - 2*l + 31, -2*u = 4*l - 32. What is the second derivative of c - 9 + 34*c**4 + 4 + 1 + u wrt c?\nAnswer: 408*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*r - 13*r - 6*r. Solve 2*g - 4*v + 2 = 0, -g - v - 1 = -r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -0*t + 5*x - 680, t - x = 138. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/6 - 38\/114.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1  (b) -0.4  (c) 2  (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2772692535.\nAnswer: 3, 5, 103, 1794623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 2:37 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 5)*(3 - 3 + 5*b**2) - 3*b**2 + b**2 + 3*b**2 + (5*b - b - 2*b)*(-3*b - 3*b + 8*b) + 4*b - 4*b - b**2 to the form j + i*b**2 + o*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21ae + 4?\nAnswer: -21aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*h + 17*h + 312 = 14*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(7) + -1)*-1 - (-5 + sqrt(28))))**2.\nAnswer: -900*sqrt(7) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 2, w: 1, k: 2, u: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-48)*4)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7190973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-4)\/(-10))\/2)\/(33\/((-1155)\/14)))\/(-14).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 213 - 212.9999995. Round b to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*f - 32*f - 429 = -40*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 498627136 divided by -73696?\nAnswer: -6766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -i**5\/20 + 3*i**4\/4 - 5*i**3\/3 - 15*i**2 + 167*i. Let p be w(7). Put 88, -5, p in increasing order.\nAnswer: -5, p, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.084634  (b) -2  (c) 1\/8  (d) 5  (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.09 - -0.09. Let r = 0.3 - -0.1. Put r, o, -3\/7 in decreasing order.\nAnswer: r, -3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1936311 is divided by 284.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**3)\/m**3*m**(3\/8)*m*m**(1\/23))**(-7\/2) assuming m is positive.\nAnswer: m**(4613\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9018 - 8777. Which is the second biggest value?  (a) l  (b) 0  (c) 1\/3  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -3*t**4 - 12615*t**3 + 101091*t**2 - 88473*t = 0.\nAnswer: -4213, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 5*a - a - 31, 0 = -5*a + 20. Suppose 0 = -3*f - 3, n*d + 3*f - 3 = 6. Solve 0 = -3*x + 4*y + 11, -x + d*y - 2*y + 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*z + 126 = -163*z. Solve 25 = -z*y + 23*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -8*o**3 + 16*o**2 + 27*o - 61. List the prime factors of p(-10).\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 51*q + 148. Let n be t(3). Let x(u) = -u**2 - 14*u + 13. Determine x(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/(-18))\/((-4)\/18). Suppose -2*n + r = n. Let f = n - -1. Which is smaller: f or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-11)\/m)\/m)**(-16))**(1\/52) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/12)\/((-51)\/(-4269890)) - (-4)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l\/(l*(l**2*l)\/l)*l)**24*l\/l**(-3\/8)*((l*l*l*l\/(l\/(l\/((l*l**(7\/2))\/l))))\/l)\/l assuming l is positive.\nAnswer: l**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-660)*440 + -64.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**5\/60 - 23*w**4\/24 + 28*w**3\/3 - 10*w**2. Let q be f(22). Let t be -68*((-1)\/(-10))\/(q\/255). Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 24*z**2. Let h(c) be the third derivative of c**5\/20 + 29*c**2 + 1. Give r(h(n)).\nAnswer: 216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -261*n**2 - 4*n - 356. Let f(w) = w**2 + w - 2. Let p(d) = 4*f(d) + g(d). What is the first derivative of p(m) wrt m?\nAnswer: -514*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 79*i**3 - 5*i**2 - 5*i - 59. Let u(k) = -40*k**3 + 3*k**2 + 3*k + 29. Let s(l) = -5*u(l) - 3*v(l). What is the derivative of s(h) wrt h?\nAnswer: -111*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -1. Let q be (x + 1)*(-1 + 0). Let g = 4 + q. Solve -6 = -4*j + g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*p)*(3 + 0 - 4) + (9 + 6 + 1)*(-5 + 5 - p) + (-3 - 2*p + 3)*(-6 + 3 + 1) - 3*p - p + 5*p - 7*p + 14 - 14.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 0)*1 - (20 + (-6862)\/423).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((-2*sqrt(9) + sqrt(9))*2)\/sqrt(3) - (sqrt(147)*2 + -5 - sqrt(147))) + 5.\nAnswer: -15 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 7*w**2 + 7*w + 5. Let n be t(-5). Calculate the highest common factor of 220 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2244939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a + 39. What is the tens digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/9 - 118\/531. Let j(q) be the third derivative of u*q**6 + 0*q**3 + 0 + 0*q**4 - 1\/840*q**7 - 6*q**2 + 0*q - 1\/1344*q**8 + 0*q**5. Factor j(x).\nAnswer: -x**4*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -312*u + 296*u + 7200 = 0. Calculate the remainder when u is divided by 109.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - k**2 - 5*k + 3 + 1 + 6*k**2 in the form f*k**2 + h*k + o and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(5) - sqrt(45)) + (sqrt(55)\/(sqrt(11) + sqrt(11)*-1 + sqrt(11) + sqrt(11)))**2 - (sqrt(240) - sqrt(240)*-2)\/sqrt(12)*5.\nAnswer: -32*sqrt(5) - 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -20.7. Let v be ((-9)\/(-12))\/(9\/(252\/(-77))). Sort -5, v, z in descending order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-5) - (-1952)\/5. Suppose 7*x - x = r. Suppose 13 = -m + x. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of m**3\/3 + m. Let i(k) = -4*k**2 + 7*k**2 - 14*k**2. What is i(y(r))?\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*i**3 + 1424809*i**2*r**3 - 223*i*r**2 + i*r + i + 20*r**3 + r**2 + 44*r wrt i.\nAnswer: 138*i + 2849618*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 466 and 2191.\nAnswer: 1021006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2003 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c**3 - 6*c**2 + 6*c. Let d(u) = u**3 + u**2 - u. Suppose 0*g + 3*g + 5*z = -17, 5*g - 5*z = 25. Calculate g*j(p) + 6*d(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2377927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 5. Let p be s(-11). Calculate the remainder when 35 is divided by (132\/30)\/(p\/15) - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59694\/13 - -4592. What is the smallest value in -0.2, 0.22, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 6*v. Let p(g) = 3*g**2 + 3*g**2 - 7*g**2. Give b(p(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -94.28 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 5*v + 25, 3*w = 5*v - 4*v + 5. Solve c - 2 - 2 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62 + 36. What is the third biggest value in -5, d, -1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 4:46 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*p = 352 - 102 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*w**3 + 2*w - 44*w**2 + 20*w**2 - 12 + 16*w**2 + 8 to the form r*w**3 + q*w + f*w**2 + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9, 57, 129, 219, 321?\n\"Answer: -f**3 + 18*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32111.91cm to micrometers.\nAnswer: 321119100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*3\/6)\/((-12)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/7, 0, -1\/893, 2\/15 in decreasing order.\nAnswer: 2\/15, 0, -1\/893, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.642290765 rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -681*j - 1. Let a(b) = 813*b. Let m(r) = -5*a(r) - 6*k(r). What is m(-5)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8272 and 22919644.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.17 - 3.83. Let o = -402 + 401. Which is the nearest to 2?  (a) o  (b) 0.09  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**4 - r**4 + 0*r**4)*(4*r + r - 3*r) + 3*r**5 - r**4 + r**4 + r**5 - 2*r**4 + 2*r**4.\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.88 + 2.38. Which is the second biggest value?  (a) -0.01  (b) 1  (c) -2  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 400 + 1237. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 438 and 4?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*s, -4*c - 3*s = -2*s - 11. Suppose -c*x - 20 = -7*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 9) + (11 - (21 + -9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25.1 - -24. Let p = m - -1.089. Let x = 0.01100124 + p. Round x to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -192493, -769970, -1732433, -3079882, -4812317, -6929738, -9432145?\nAnswer: -12319538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*k, n + 2*k + 1 = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 44*l - 39*l = 13961, -l = -1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o - 1. Let q(z) = -56*z - 3 - 54*z - 53*z + 164*z. Suppose -4*d = m + 14, -4*d - 7 - 9 = 0. What is m*t(x) - q(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**3*p**4 - 2*h**3*p**2 + 1891*h**2*p**4 - 34*h**2*p**2 + 2*h**2 - 3*p wrt p?\nAnswer: -24*h**3*p + 45384*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -50 + (-608 - -630)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + (-5232437)\/56 + (-3)\/(-8). What is z rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1782, 1783, 1784?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**2 + 21 - 6*z**3 - 8 - 64.\nAnswer: -6*z**3 + 9*z**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/5 - 684*l**2 - 2120953*l\/5 + 2124372\/5.\nAnswer: (l - 3956)*(l - 1)*(l + 537)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 10*y + 11 = 0. Let c be (4 - 4\/y) + 12\/4. Solve 5*z = 2*r - 11 - 1, 0 = z + c*r + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 7:40 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express w**2 + 2*w**2 - 5*w**2 + (-3*w - 2 + w + 3*w)*(-136*w + 271*w + 183*w) as y*w**2 + r + k*w and give k.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 249.217?\nAnswer: 99.6868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 4*w**2 - 11*w - 2. What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k = 6*k + 225. Let i(t) = -t**3 + 27*t**2 - 36*t - 12. Is i(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - q = -q. Solve 3*a + q = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -3*l + 10, -555*l = 4*c - 559*l + 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 37 = 21*d - 43 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i. Suppose 172 + 218 = 6*c. Let n(s) = c*s - 24*s + 76*s. What is n(h(l))?\nAnswer: 234*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 195 - 196. Let c(a) be the first derivative of -a**4\/4 + a**3\/3 + a**2\/2 - 1. Let l be c(w). Are -2 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.889 to 1 decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -108 - -3131\/29. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.701 and -15.7.\nAnswer: -11.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 19 - n**2 + 6 + 4*n + 12.\nAnswer: -n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 greater than or equal to -10\/12373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -98468.129 to the nearest 100.\nAnswer: -98500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11890?\nAnswer: 2, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51\/85 - (-36)\/40) + (5 - (-1099)\/(-14)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24397 is divided by 3669?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0608977 - 0.06139. Round r to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45019 and 4422251?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-234)\/(-702)*48\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) + -1 + 5 - (sqrt(539) - 2*sqrt(539)*3 - sqrt(539)) - (6*(sqrt(539) - sqrt(539)*-2) + 3))*-4)**2 + 3.\nAnswer: -2464*sqrt(11) + 1043523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147)\/sqrt(112) + (sqrt(3024) - 1*sqrt(3024) - sqrt(3024)))\/(2*(1*1*sqrt(7) + sqrt(7))).\nAnswer: -47*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 13500\/(-13050)*(-4)\/120\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 2323001032?\nAnswer: -2323001034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2956930361 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/98 and 83\/215810.\nAnswer: 1510670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2347, 0.011, -0.5 in descending order.\nAnswer: 0.011, -0.5, -4, -2347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + a = -z + 13, -3*z = 5*a - 13. Let v be (-40)\/(-4)*(-2)\/z. Which is greater: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 7:46 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**4 + 2592*n**3 + 363789*n**2 + 1424148*n + 1413828 = 0. Calculate n.\nAnswer: -689, -171, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 47641590 and 1476.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/15, -6, -3, -10, -0.03, -1.95?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3073, -12288, -27635, -49108, -76701, -110408, -150223?\n\"Answer: h**3 - 3072*h**2 - 6*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2249 is divided by 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*h - 579 - 205 = -246 + 975 for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 0.120726179.\nAnswer: -0.520726179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**2 - 6 - 1 - 8*y - 2 - y**2. Let k be b(6). Solve 0 = -4*q - 3 + k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 833*f - 1106 + 8053 = -550 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1335881217?\nAnswer: 3, 11, 40481249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.849138 weeks to nanoseconds.\nAnswer: 2327958662400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (146\/(-8))\/((-2)\/24). Suppose 3*a - m = 24. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-9)\/2)\/3)\/(217\/(-62))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2150 is divided by 2146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1360593930 and 807.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6993 + -6998. Sort b, 3, 5, -4, 592 in descending order.\nAnswer: 592, 5, 3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -123, -247, -351, -429, -475, -483, -447, -361?\n\"Answer: h**3 + 4*h**2 - 143*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01893387 to 4 dps.\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 8:56 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.782831 minutes to nanoseconds.\nAnswer: 406969860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1305030784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(3\/7)\/f)\/f**4)**(21\/5) assuming f is positive.\nAnswer: f**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-6 - 5 - -11) - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -593, -2513, -5763, -10343?\n\"Answer: -665*a**2 + 75*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7221542381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 5*g - 4, -3*t - 1 - 2 = -5*g. Let s be (-2)\/3*(25 + 20). Let w be 7\/((-182)\/s) + 1*-1. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s + 5*s - 7 - 4 + 4. Let y be i(5). Sort 3\/5, -2\/15, 5, y in ascending order.\nAnswer: -2\/15, 3\/5, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25290)\/1580 + 96\/15*(-1000)\/(-400)?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 851477.\nAnswer: 11, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003403 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - -942. Let z = q + -384. Calculate the remainder when z is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, 690388, 1, 4, -1\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 396 = 31*g - 19*g. Suppose -35*d + 18 = -g*d. Solve -d*l + 4 = -7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 23 = -5. Which is the third biggest value?  (a) 0  (b) -4\/5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 165658076 to the nearest integer?\nAnswer: 12871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*x + 243*x + 128*x = -8490 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-1 - -2) + (-4 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -5. Suppose r = 4*v - 96. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/2)\/(2\/16). Which is the nearest to -0.1?  (a) 0.4  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*n**5\/9 + 824*n**4\/9 + 1492*n**3\/9 + 568*n**2\/9 - 38*n\/3 = 0. Calculate n.\nAnswer: -57, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -61 and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-2) - 882\/(-84).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4009 a factor of 199483831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i - 4. Let k be b(5). Let x be (-2)\/k + (-4)\/(-12). Suppose 4*h = 5*p + 12, -9 = -3*h - x. Solve -3*f - w + 8 - 24 = p, 0 = f - 5*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 3. Let d be (-2)\/(-8) - (-21)\/(-4). Let i be l(d). Suppose -5*p = -12 - i. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78\/715*25*(-8)\/1560.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*y**2 + 71*y**2 - 42*y**2.\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*s - j, -5*j = 4*s - 6*j - 14. Solve -s*l - 2 = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 8*s - 1\/2*s**2 - 4. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/(-164))\/(-10 - -5)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 530216660?\nAnswer: -530216663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16433*r - 3648 = 16205*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2028528, -4057032, -6085536?\nAnswer: -8114040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 5. Let i = 50 - 52.1. Let p = i - -0.1. What is the second biggest value in l, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -289468\/6984318999 + 2\/378903. Let q = a + 16976803\/276495. Let n = q + -61. Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 9*f**2 - 5*f + 1. Let j be i(8). Suppose 0 = y - 6*y + j. Let d be -2*y\/10 - -5. Calculate the highest common divisor of 36 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2 - 8*r - 13. Calculate t(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 64022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 1947*n**2 + 63*n - 443. Is j(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 + 8*p - 7)*(3 + 2*p - 3)*(-22*p**2 - 16*p**2 - 13*p**2) to the form v*p**2 + a*p**3 + k*p + j*p**4 + m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -5*q**4\/6 - 12*q. Let v(i) be the second derivative of -5*i + 0*i**2 - 1\/6*i**3 + 0. Calculate v(x(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 23*s**4 + 223608*s**3 + 543940763*s**2 + 2219406558*s + 188879048 = 0.\nAnswer: -4859, -4, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of 3*v**4\/8 + 5*v**3\/2 - 6*v**2 - 72*v + 1264. Suppose b(g) = 0. Calculate g.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -384\/1871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**2 + 323384*m + 323383 = 0.\nAnswer: -323383, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19664, -23672, -30358, -39722, -51764, -66484, -83882?\nAnswer: -103958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -475*j**4 + 474*j**4 + 3*j**3 + j**2 - 4*j + 0*j**3 + j**3 = 0. Calculate j.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6*3\/(-6))\/(12\/(-40)). Let x be -2*(-2 + 52\/16)*m. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 12) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 398 + -365. What is the highest common divisor of g and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1650, -1556, -1292, -774, 82, 1360?\nAnswer: 3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-d - 2 + 2)*(2*d + 2*d - 2*d) - d**2 + d - d + 3*d**2 + d**2 + 4*d**2)*(-2 + 2 + 2*d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20674941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 12*q**2 - 11*q - 4. Determine u(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f + 2*f + 3*f + (2 - 2 - 1)*(-7 + 7 - 8*f)*(1 - 3 + 3).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 2\/95, -42, -0.2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11633 and -1.\nAnswer: 11633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7300 and 16502380?\nAnswer: 82511900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11231?\nAnswer: 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 3:26 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1414 at most as big as -1202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 (base 8) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -347.1 + 327. Let l = p + 19. Let s = -1.100013 - l. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**2 + 33720*a + 7038675 = 0.\nAnswer: -205, 11445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1)*q)**1)**(-2\/39)\/((q**(-3)*q)\/q**(-6)*(q*q**(-2\/3))**(-50)) assuming q is positive.\nAnswer: q**(164\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 78 - 73. Suppose -720 = -h*j + 5*y, 2*y - 576 = 4*j - 8*j. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + l - 14 = 0, 8*j - 4*j + l = 12. Suppose 0 = -5*b - h - 0*h + 57, 37 = 3*b + j*h. What are the prime factors of b*6*(-6)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325*a = -310*a + 606*a + 275848. Does 82 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/28 and -5\/1452?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.2247 - 15727050\nAnswer: -15727050.2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4187 or -4368?\nAnswer: -4368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236*n + 7356 = 3580 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*f**5\/5 - 256*f**4\/5 + 1252*f**3\/5 - 1852*f**2\/5 + 1036*f\/5 - 196\/5 = 0. Calculate f.\nAnswer: 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 12*q + 11. Give r(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 3*z - 764 = 0. Let i = z + -265. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -1 - 1\/2*g**2 - 3*g. Let j be u(-4). Which is smaller: -1\/3 or j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 30 - -25) + (1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(170))\/(1*sqrt(160)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/84)\/(((-2)\/8)\/((-27)\/(-8)))*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*t - 8. Let x(g) = 0 + 6*g**2 + t - 5*g**3 + 4*g**3 + 8*g. Is 8 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 0 - -9) + 3 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4462289, 4462290, 4462291, 4462292?\n\"Answer: n + 4462288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 5*m - 56. Let p be z(16). Is p at most 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(-14)\/126*-426. Solve 30*t + a = 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = l + 12, -21380*i = -21379*i for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10\/13, 3, -3, 17, 0, 1\/4 in increasing order.\nAnswer: -3, 0, 1\/4, 10\/13, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p. Let l(y) = y - 1. Let c(g) = g**2 + 5*g - 5. Let h(u) = -u**3 - 8*u**2 + u + 7. Let x be h(-8). Let i(r) = x*c(r) + 5*l(r). Give i(a(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 2:54 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 532390, 532365, 532314, 532225, 532086, 531885, 531610?\nAnswer: 531249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.9, -2\/3, -3, 2.\nAnswer: -3, -1.9, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rzf when three letters picked without replacement from {i: 3, r: 1, g: 3, f: 3, z: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**3 + 2*m - 2*m + (3 - 4 + 3)*(-4 + 3*m**3 + 4) + m + 30*m**3 - 60*m**3 + 39*m**3 + 1 + 3*m**3 - 1 in the form w*m + r*m**2 + x*m**3 + s and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 30 = -2*o. Let d = o - 6. Let y(z) = 8*z - 4. Is y(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 7*v**2 + 11*v + 4. Let q be l(-8). Let b = 28 + q. Let g be (3\/(-2))\/((-6)\/b). What is the highest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -137 > -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/48 and -127\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9 - 4 - (25 + (-5 - 0)). Let n(h) = h + 25. What is n(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37.16 + 125.07. Let i = y + -1.91. Which is bigger: -2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 + 195292*c - 781232.\nAnswer: 4*(c - 4)*(c + 48827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28 - 3*s - 9 - 9 - 5*s to the form w*s + g and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1096875 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144951, -144957, -144963?\nAnswer: -144969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4*l - 13 - 12 = 0, 37 = 3*u - 2*l. Solve 16 = -u*t + 52 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44104, 177230, 399380, 710554, 1110752, 1599974?\nAnswer: 2178220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 743748660 divided by 20659685.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 670.88853 minutes to days.\nAnswer: 0.4658948125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1009 - 1008.99. What is the biggest value in 0.1, t, 0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 438943419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -816 (base 11) to base 12.\nAnswer: -6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 6:01 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0016189383 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) -102  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from {d: 3, k: 4, s: 11}?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 - 5*p**2 + p**2 + 0*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*z + 5*z. Suppose g = z*t - t - 5, 4*g = 5*t + 1. Solve d - 3*d + 18 = 3*s, s - g = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from hhrhghhhhhhrghhghho.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (245458 + l**3 - 245458 - 13*l)*(-l**2 + 2*l**2 - 4 + 3).\nAnswer: l**5 - 14*l**3 + 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.021, 2\/9, -2\/3?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 7 = 2*g, -3*g + 36 - 67 = 3*m - 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**2 - 2*x**2 + 48 + 9.\nAnswer: x**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 913 = -n + o, 4*n - 2*n - 5*o + 1820 = 0. Let m = n + 1286. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 8. What is l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27241471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1607*x + 58581 - 7157 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 13*a + 2. Let n be r(-3). Suppose -y = -3*w - 9 + 20, 0 = 5*y - 5. Sort n, w, 1.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.942 + -28.57149. Let y = u + -0.37. Round y to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00095143337 rounded to seven dps?\nAnswer: 0.0009514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.3 + -2.3. Which is the closest to 0.01?  (a) -2  (b) -3\/4  (c) r  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119603310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13232 by 916.\nAnswer: 3308\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.13 and -11981?\nAnswer: -1557.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*z - 2*z - 19*z - 42*z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*v + 5*n, 19 = 4*v + 2*n + 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1575*y - 17334. Calculate l(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -28*q + 2. Let t be m(-7). Suppose -t = -2*j - 2*v, -2*v + 94 = -3*j + 4*j. Let x be j\/16 - 1\/2. Which is the closest to x?  (a) -5  (b) 4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 1. Let p be q(-1). Differentiate -p + 4*w**3 - 3*w**3 + 3 - 3 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (22 - 2)*(-35)\/(-28). What is the greatest common factor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9070028 by -139.\nAnswer: 65252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/7, -122, -5, -19, 1276\/35?\nAnswer: 1276\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 16.8649.\nAnswer: 33.7298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -72 - -77. Suppose -4*y - 3*s - 3 = 8, -4*y = -3*s + j. Sort -5, y, 10 in decreasing order.\nAnswer: 10, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 8:22 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 18. Let m be h(-17). Suppose m*o - 38*o + 6 = 0. Suppose o*r + 3*r = x + 732, -4*r - 3*x + 578 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -g + 5*g, -4*g = -4*s + 28. Suppose m = -3*d - 1, 3*d + 8 + 5 = 5*m. What is the remainder when s is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -92\/21, -7, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63671, 509696, 1720437, 4078250, 7965491, 13764516, 21857681?\nAnswer: 32627342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4960*h**3 - 2125*h**2 - h - 467492185.\nAnswer: -14880*h**2 - 4250*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/1105 in 1\/7, -0.5, -25, -1, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (45\/2)\/(-5)*12. Let l = -60 - w. Is (-1 + -1)*2139\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -8.54, -4, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (227*t + 196*t + 101*t)*(3 - 3 - 1)*(-6 + 2 - 4).\nAnswer: 4192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(-2*t + 0*t + 4*t) + 0*t - 2*t + t + (t - t + 2*t)*(0 - 2 + 1) - 3 + 3*t + 3 - 14*t + 0*t - t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.4 * 1.8.\nAnswer: 9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80692?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 3*j**3 + 3405*j**2 + 37092*j = 0.\nAnswer: -1124, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1141*o**2 - 265*o**2 - 323*o**2 - 295*o**2 - 311*o**2.\nAnswer: -53*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*l**3 - 14231*l**2 - 23967*l + 2 wrt l?\nAnswer: -18*l - 28462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149123 is divided by 16569.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9 + 1.8. Let o = 25 - 25.9. Let w = o + q. Which is the second smallest value?  (a) w  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*-5*(5 + 3*sqrt(112) + 0 + -3)*-6)**2.\nAnswer: 1555200*sqrt(7) + 32788800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 3*n = 21, 21 = -3*u + 22*n - 18*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of 0*h**3 - 1\/4*h**4 - 2 + 0*h + 198*h**2. Let z(b) = -15*b**2. Determine t(z(f)).\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5505381 and 1512.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 1292*r - 2579*r + 1286*r. Let b(z) be the second derivative of -3*z**3 - z. What is b(o(g))?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5*(sqrt(42)\/sqrt(24) + 1))**2.\nAnswer: 15*sqrt(7) + 211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 2312.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -421, -919, -1603, -2467?\nAnswer: -3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s + 74 = 12*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 233716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -12*t + 24. Suppose -3*a + t*x + 204 = 0, 0*a = 5*a - 4*x - 337. Let i = a + -55. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 - 6300952*i + 2481374756644.\nAnswer: 4*(i - 787619)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 15, v: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175 + 447*y**2 - 77*y**2 + 304*y**2.\nAnswer: 674*y**2 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 813*h = -766*h + 28422 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00006995577 rounded to 7 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*q + 49*q - 140*q + 52*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*a = l, -5*l - 2 = 3*a. Let c be (-2 - l)*1*-2. Solve 2*b + 6 = 4*r, 0 + 10 = -c*b + 5*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -14 + 3*a + a + 4*a + 3. Let o be x(6). Calculate the highest common factor of 296 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-398)\/(-5))\/((-2)\/(-110)). Suppose -b = -3*c + 7283. Suppose -763 = 3*s + c. What is s rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 23 = -3. Suppose 0 = -2*f + 2, -9 = u + 3*f - 17. Calculate the greatest common factor of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 7*f**2 + 3. Let d be q(-7). Is (0 - d\/2)\/((-1)\/34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -94752, -94778, -94810, -94848, -94892?\n\"Answer: -3*o**2 - 17*o - 94732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (1*3)\/(216\/(-144))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18.1327 or -4?\nAnswer: -18.1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, -4 in ascending order.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 7*s + 3. Let l be x(-7). Suppose 4*m - 7*m + l = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(187) - (sqrt(187) - (sqrt(187)*1 - sqrt(187)))) + (4*sqrt(187)*-1 - sqrt(187)))\/(sqrt(704) + sqrt(704) + sqrt(704)*1*4).\nAnswer: -5*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/(k*k\/((k**(-2\/7)*k*k)\/k))))**43)**(-38)*(k**(-2\/7)*k)**(-8)\/((k*k**(-1\/4))\/(((k**(-2\/9)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(-943625\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 444 + -1779\/4. Which is the smallest value?  (a) -0.5  (b) h  (c) -0.3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1150 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 134070557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glnyelg. What is prob of picking 1 g and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -6889*c**3\/2 + 17347*c**2 - 4989*c\/8 + 45\/8 = 0.\nAnswer: 3\/166, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16329878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2. Let o(j) = 11*j - 699 + 699. Calculate r(o(a)).\nAnswer: 121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - -6) + (-6 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 7*q. Suppose 5*f - 3*f - 62 = -2*d, 5*d = f - 55. Suppose f = -6*w + w. Let x be k(w). Solve -3*a + 6*a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 2\/179  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0569497 + -0.057. Round k to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s - 6*s + 4*s + 2)*(3*s + 2*s - s).\nAnswer: -28*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 6)*(2 - 6 + 3)*(1 + 2*q**4 - 1) - 13 + 19 - 9 - 6*q**4.\nAnswer: 2*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/105 and 56\/195.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2 + 24*v + 30*v - 53*v + 1 + 6*v**2. What are the prime factors of o(-5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-239)\/((-106355)\/(-356)))\/((-20)\/3)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61672 - -123343\/2. Let m = 345 - 151. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**3\/h)\/(h*h**(-3\/4)))\/(h\/(h**(2\/5)\/h)*h)**(-4\/3) assuming h is positive.\nAnswer: h**(313\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 111780 and 62880.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4 = -3*h, -4*o - 3*h - 14 = -0*h. Let d be 6 + o - (-119)\/(-28). Put d, -2, 1\/6 in increasing order.\nAnswer: -2, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17346 = -2*j - 17366 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 7*x**2 + 12*x + 15. Give t(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (72\/(-120) + (-2)\/5)*-1. Suppose 5*j + 28 = -3*w, -2*j - 4*w + 11 = -5*j. Put g, j, -4 in decreasing order.\nAnswer: g, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-46)\/3*45\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/42)\/(78\/(-117))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1438951*x**4 + x + 5548830 wrt x?\nAnswer: -5755804*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24371, -48543, -72747, -96983, -121251, -145551?\nAnswer: -169883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*s - 448 + 193. Let h(r) = -r**2 - 2*r + 12. What is h(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**2 + 8*x - 7. Let y(m) = -5*m**2 + 23*m - 20. Suppose -10 = 2*f + 3*z - 41, z = -8*f + 135. Calculate f*v(s) - 6*y(s).\nAnswer: -4*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30124 and 168164?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -0.005\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 495 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*k**2 - 76 + 3*k + 252*k**2 - 392*k**2.\nAnswer: 22*k**2 + 3*k - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 303 - -261. What are the prime factors of k?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 divided by -4?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 98811*p**3 - 197621*p**3 + 98811*p**3 - 3*p - 8*p + 12*p**2. Calculate x(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(49)\/(sqrt(77)\/sqrt(11)) + (sqrt(847) - (sqrt(847) + ((sqrt(847) + -4 + sqrt(847) - sqrt(847)) + 3 + sqrt(847))**2)) + sqrt(847))*6.\nAnswer: -20334 + 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37353910 is divided by 1572?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44ea45 (base 15) to base 9.\nAnswer: 6163382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7422425, 14844792, 22267159?\n\"Answer: 7422367*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 28048.13 times 1?\nAnswer: 28048.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4195 + 975 = 22*a. Let t = 74 + -69. What is the highest common divisor of a and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161927?\nAnswer: 193, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 10) to base 12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*y + 26*y - 43*y)*(y**3 - y**3 + 3*y**3).\nAnswer: 33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -44*f**2 - 434*f + 17. Give i(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2. Suppose 3*l + 20*k = 21*k + 7, 2*l + k = -2. Let p(v) = 2*v**2 - 9. Give l*p(j) - 4*u(j).\nAnswer: -2*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d = -7*d - 20. Let v = 2 + 0. What is the third derivative of -2*y**2 - 2*y**v - 6*y**4 + 3*y**4 + d*y**2 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 9*p**2 + 12*p - 6. Let l be r(9). Suppose -3*n - 4*g = n - 140, 2*g = -3*n + l. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*l**4 + 265321*l**3 + 90*l**2 + 6*l + 791?\nAnswer: 120*l + 1591926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 735 + 1724. Suppose a + 5*w - 801 = 0, -w = -a + 4*a - u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 576 is divided by 237?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 5*j + 4. Let u(b) = 1 - 2*b + 5*b - 6*b. Let x be u(-1). Suppose x*k - 2*k + q - 10 = 0, -5*q = -k + 5. Calculate d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 - -295\/11. Which is the closest to 0?  (a) 5  (b) 2\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15, 26, 37?\n\"Answer: 11*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*k = 3*c + 16, 5*k + 20 = -2*c. Solve c*i - 2*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 15*z - 47. Let i be b(-5). Suppose 3*n - 2*y = 0, 3*n + i*y + 2*y - 21 = 0. Solve 4*q + n*x + 24 = 0, 4*x = q - 8 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**4\/2 - 151*h**3\/2 - 165*h**2 + 144*h = 0.\nAnswer: -48, -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Sort 0, 3, -79, -40, -1, -111 in decreasing order.\nAnswer: 3, 0, -1, -40, -79, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -2575300 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39288568 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 16, w: 2}. Give prob of sequence ww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 16\/4)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 6:02 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 15*r + 49. Let v be h(9). Let s = v + 15. Let c be (5 - 0)\/(-3 + 4). Sort c, s, -3, 2 in increasing order.\nAnswer: -3, 2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 21084, 19362, 16500, 12498, 7356, 1074?\n\"Answer: -570*r**2 - 12*r + 21666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**0*p)**(-20\/9)*(p\/((p\/(p\/p**0))\/p))\/(((p\/p**4)\/p*p)\/p) assuming p is positive.\nAnswer: p**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-3 - -13) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 7590517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n - 102. Let u(o) = 22*o + 304. Calculate -16*c(f) - 5*u(f).\nAnswer: 2*f + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 3*1*sqrt(162) + (sqrt(162) - (0 + sqrt(162))) + -4 + -4 + (2*sqrt(162) - sqrt(162)) + -3)**2.\nAnswer: -990*sqrt(2) + 4171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 2\/3, -4, 32, -9\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, i: 5, q: 3}. Give prob of picking 4 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29784 - 28857. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, z: 2}. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2402.945789 to 0 dps.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.7, -5, 0.11, -2, -2\/573, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 27\/6*8\/12. Suppose -d - z = -11. Is (-307)\/(-4) + 2\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**2\/2 + n - 266. Let u(q) = -13*q. Let d(v) = -14*v + 1. Let k(w) = -3*d(w) + 4*u(w). Calculate k(c) + 5*s(c).\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/623 and -58\/21.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 16, -4 in increasing order.\nAnswer: -4, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 44519 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 222\/7 - 32. Let i = 3 - 8. Let l = 5.5 + -5. Which is the nearest to r?  (a) l  (b) i  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -257340*w - w**3 - 128 + 257339*w - w**4 + 2*w**2 + 3*w**3 to s*w**3 + c + n*w + k*w**2 + j*w**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z*z**(2\/19)\/z*z)\/z)*z**(-35)\/z*z assuming z is positive.\nAnswer: z**(-648\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - 5*i - 26. Calculate z(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -1. Let f(u) = -u**2 - 5*u - 3. Let x(q) = q. Let a(z) = -f(z) - 3*x(z). Let p(v) = -a(v) - 5*t(v). Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 1. Let c be v(3). Suppose -a + 3*y + 7 = 0, c*a - 10 = y + 11. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50 + 224*q**2 + 508*q**2 + 50 + 3308*q**3 wrt q?\nAnswer: 19848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1867.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 1\/1 + -1. Suppose w*m - 2*m + 42 = 0. What is the remainder when m is divided by 2 - 3 - 1\/(1\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 times -489.5?\nAnswer: -14195.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 4\/5, -5\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6375766\/137 smaller than 46537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -b**2 - 3. Let z(f) = 5*f**2. Calculate w(z(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002247 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -264 divided by -13\nAnswer: 264\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11021 + -11020?\nAnswer: -22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**2\/3 - 28408*a - 302630424 = 0.\nAnswer: -21306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide (11 + -5 + 1108)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340708.\nAnswer: 2, 19, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -260.73520227 + 259.575203. Let c = -68 - -66.84. Let w = s - c. Round w to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-3)*11\/(-165)*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/10 and (369\/(-840))\/1 + (-12)\/42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 11:42 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68152273 is divided by 90?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 30 - -12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 125, 142, 173, 224, 301, 410?\n\"Answer: m**3 + m**2 + 7*m + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -476.25 - -471. Let w = 5.75 + i. Which is the second biggest value?  (a) -3\/2  (b) -4  (c) w  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21345099 by 1.\nAnswer: -21345099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/24?  (a) -0.5  (b) 5\/4  (c) -4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -288999, -577990, -866981?\n\"Answer: -288991*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 195 and 105.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -5. Let m be 1 - (d + (-27)\/12). Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - -6. Let k(s) = 3*s + 23. Let n(y) = -2*y + 11. Let v(c) = -3*c + 21. Let d(f) = 5*n(f) - 3*v(f). Let h(o) = 17*d(o) + 6*k(o). Calculate h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of s**7\/42 + 55*s**6\/24 + 9*s**5\/2 - 563*s**2. What is w in m(w) = 0?\nAnswer: -54, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 2208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 195 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1472503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 + 3)*(2 - 2 + 1)*(2*f**5 + 0*f**2 + 0*f**2) - 5*f**5 + f**5 + 2*f**5.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3439, -6863, -10287, -13711?\n\"Answer: -3424*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zns when three letters picked without replacement from ybnzxznsy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.9 - 16.8. Which is the smallest value?  (a) -1  (b) s  (c) 0.14  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-24) - 1173\/18. List the prime factors of 5\/2*(-104)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) -5  (c) 26\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 1:46 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = 7*v. Solve -j - 2*j + 5 = -k, v = -3*k - 4*j + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-124)\/(-130) + -1)\/(464\/(-4640)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -104.3353 + -2.6787. Let h = d + 107. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, j: 12, p: 1}. What is prob of sequence jjpj?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.2 + 1772.4642.\nAnswer: 1788.6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 393383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 12*x**2 - 2*x - 14. Let j be s(-12). Suppose -12*c + j*c = -332. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*f + 25*f - 520*f**2 + 24*f + 521*f**2 - 97*f + 24*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -7. Let i(c) = 3*c**2 - 5*c + 9. Calculate the remainder when -1 + 43 - 0\/r is divided by i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7026 to 2 dps.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - w + 30 = w, 4*w = -5*z + 36. Suppose 3*n = z*n. Let g(m) = -m**2 + 2*m + 16. Let i be g(n). What is the highest common factor of i and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.1  (b) 91  (c) -1  (d) 3  (e) -2\/29  (f) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, b: 1, e: 2}. Give prob of sequence bd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(176) - (-1 + sqrt(176) + -1)))**2 + (-6*(1 + sqrt(176)) - (1 + (sqrt(176) - 1*sqrt(176)))**2).\nAnswer: -24*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4015, -7994, -11947, -15874, -19775, -23650, -27499?\n\"Answer: 13*z**2 - 4018*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*r - 5*r - 4*r)*(-21*r + 124*r + 77*r) - r**2 + 0 + 0 to l + o*r + t*r**2 and give t.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gdgogokdgd. What is prob of picking 3 g and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 23 and 9493802421.\nAnswer: 9493802444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-137)\/(-15) + 24\/(-180). Find the common denominator of -21\/5 and 6\/k - (-318)\/(-126).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f + 3 - 13*f - 7*f**2 - 2.\nAnswer: -7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57.859 + -0.141. Let l be (9\/((-9)\/(-2)))\/(1 + 1). Is l smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1376 - -1368. What is the common denominator of d and -26\/49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330352943?\nAnswer: 19, 17386997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 5*a + 10. Determine g(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 396518159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22135074 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjgjg. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 144401240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69, -242, -519, -900, -1385, -1974?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*5\/(45\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3882*x**3 - 2*x**2 + 5939*x wrt x.\nAnswer: -23292*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/5)*j**(1\/4)*j)**(2\/5) assuming j is positive.\nAnswer: j**(41\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -12*y**3 - 11*y + 14 + 28*y - 7*y**3 + 17*y**2 + 20*y**3. Is 55 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8 - -8)*((1 - 1) + 1). Let p be 0\/(t + -1 + -1). Find n such that 2\/7*n**5 + p*n - 2\/7*n**2 + 2\/7*n**4 - 2\/7*n**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = -3*j. Let w be 1 + (2 - -1) - j. Solve -2*n = w*o + 8, -23 = 4*o - 2*o + 5*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.621 + -27.621. Let y be 76\/(-10) - 4\/10. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -146.32 - -146.82. What is the closest to 1 in -9, 2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 156\/2288*(-16)\/(-6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h. Let u be j(-3). Find the second derivative of -3*x**5 - 6*x**3 - 2*x + u*x**3 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -357408469*l**3 - 319897238*l wrt l.\nAnswer: -2144450814*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14548178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 7*d - 2. Calculate the least common multiple of o(-4) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 20*i = 35, 5*h + 5*i - 7253 = -7243 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 3  (c) 0.2  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7307609*f**3 + 3947*f**2 + 440?\nAnswer: -43845654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 167, -1, -73, 2 in ascending order.\nAnswer: -73, -1, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 - 2*i - 12. Let a be (-75)\/(-30)*(-3)\/((-6)\/4). Let j be m(a). Suppose -11 = -4*q - j. What is the greatest common factor of 14 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-145)\/(-35) + 1\/(-7). Let x(j) = j**3 + 10*j**2 - j - 6. Let r be x(-10). Suppose r*d + 4*s = 12, -i*d + 8 = s - 1. Solve -d*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 118818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j = -19*j. Let o(a) = 3*a - 3. Let l be o(3). Suppose m - l = -2*m, z + m + 4 = j. Let w(g) = 2*g + 9. Determine w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16317.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m**2 - 16*m - 6. Let q = 421 - 432. Let a(l) = -2*l**2 + 3*l + 1. Determine q*a(s) - 2*h(s).\nAnswer: 4*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 18*l + 3. Let p(c) = -17*c - 2. What is -4*p(y) - 3*z(y)?\nAnswer: 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7937672 is divided by 360803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(0*w - w - w)*(-522*w + 522*w + 1616*w**2) to the form o*w**3 + d*w + m + l*w**2 and give o.\nAnswer: -6464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 11:49 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, -5, -0.01, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38\/119 + -3\/17. Let r = -19 - -19.2. Which is the third smallest value?  (a) m  (b) r  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26690 - 130*w - 185*w - 26690 - 2988*w to n + g*w and give g.\nAnswer: -3303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 15, -0.05, -3\/7, 1 in increasing order.\nAnswer: -3\/7, -0.05, 2\/7, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**3 - 8*q**3 + 3*q**3 + 38*q.\nAnswer: -2*q**3 + 38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -66, 4, 16 in decreasing order.\nAnswer: 16, 4, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/18 and -39\/146.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -95*v - 366 - 604 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9689, 10252, 10825, 11414, 12025, 12664, 13337?\nAnswer: 14050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 31906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from liipyilpil. What is prob of picking 2 l and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - 4*q. Solve q*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 27*r + 61. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 14 = -2*y, -5*k + 5*y + 15 = 5. Suppose 14 + 4 = -3*o. Let q = o + 6. Solve 4*u - k*u = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**4\/24 + p**3\/6 + 46*p**2. Let a(i) = 80*i + 100. Calculate a(y) - 100*q(y).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ciiiciiiiiiiiiiiiii. Give prob of picking 2 c.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c + 3*v = 13*c - 353, 358 = -2*c - 2*v. Let t = c + 766. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*t + 2. Let z be (18\/(-3))\/6 + (-4)\/(-4). Sort 2, t, z, 1 in ascending order.\nAnswer: t, z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17597.793 months to decades.\nAnswer: 146.648275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(11\/((-2244)\/6))\/(5\/2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 11018.9 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 8*z - 3. Determine l(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 313993419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -230.7247851.\nAnswer: -225.7247851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -101?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 1. Let y(o) = 28*o**2 + 15*o. Calculate y(p(h)).\nAnswer: 28*h**2 - 71*h + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uby when three letters picked without replacement from {y: 1, q: 2, b: 1, d: 2, u: 1, t: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 3*u**2 + 4*u + 2. Let q be g(-4). Suppose 19*c - 26*c + 35 = 0. Suppose c*k - 81 = q*k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 36, 1\/5, -8, 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(51) - sqrt(51))\/((sqrt(108)\/sqrt(4))\/sqrt(9)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -76, -42, 5, -2 in increasing order.\nAnswer: -76, -42, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -32025.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/13 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c. Let k(l) = -4*l. Let y(a) = -2*k(a) + 7*p(a). Let w(x) = -10*x. What is y(w(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h + h + 0*h + (-2*h + 0*h + 0*h)*(-3 + 2 + 3) + 0*h - 5*h + 2*h + 42 + 16 - 8 - 2*h + (26 - 27 + 33)*(2*h + 1 - 1) to s + y*h and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 178, 46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -215*k**3 + 35*k**2 + 35*k - 35. Let s(z) = -18*z**3 + 3*z**2 + 3*z - 3. Give 3*h(m) - 35*s(m).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**5 - 68*d**3*x**2 + 2*d**2 + 7*d*x**2 + 13*d + 2*x**2 wrt d.\nAnswer: -40*d**3 - 408*d*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -1\/619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 9*j + 3. Let n be 5\/(-40) - (-1752)\/192. Determine t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7331.209 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1341375 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43666*z**4 + 462*z**2 - 5.\nAnswer: -1047984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -200210 (base 3) in base 5?\nAnswer: -4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32.6 + -28.6. Sort 0.2, l, -0.1, -65 in ascending order.\nAnswer: -65, -0.1, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c**3 - c**2 - 3*c - 2. Let j be b(-1). Let q = -104 + j. Let r = 41 - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + w + 4 - 0, -2*t = 5*w + 17. Let q(f) = 6*f**3 - 2*f**2 - f. Determine q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (55\/(-33))\/(2\/6*-1). Suppose j - i*l - 34 = 0, 5*j + 2*l - 59 = 3. Solve 12*o + 2 = j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9*t**2 + 17*t + 5. Let d(j) = -14*j**2 - 25*j - 7. Give -5*d(k) - 8*m(k).\nAnswer: -2*k**2 - 11*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2960 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11081\/20 + 554. What is the third biggest value in 2, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 12) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -2461*h**4\/12 - 642*h**3 + 4*h**2 - 610*h. Differentiate k(t) wrt t.\nAnswer: -4922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d*t*x**2 - 3*d*t*x + 2594*d*x**2 + 1706*t*x**4 - 2*t*x + 10811*x - 24 wrt x.\nAnswer: -2*d*t + 5188*d + 20472*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**5 + 314774*x**4 + 629574*x**3 - 2832998*x**2 - 629572*x + 2518224 = 0. What is x?\nAnswer: -4, -1, 1, 2, 157389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 75627 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 57*v - 49*v. Solve 6 = v*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 7:17 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + 0.4056087?\nAnswer: 0.3056087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 - 4*l**2 + l - 16. Suppose 15 = -46*q + 51*q. Let k be o(q). Solve 2*c = 4*c + m - 14, -k*c = -2*m - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100.40448 rounded to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*w + 224 = 187*w. Solve -n = -5*q + 16, w*q = 2*q + n + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**2*r**3 + 2*d**2*r + 2*d*r**3 + 76*d*r - 22*r**2 + 2*r wrt r?\nAnswer: -30*d**2*r + 12*d*r - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 160309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 95040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44121 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7672\/195 - -302\/39. Let i = -124\/5 - r. What is the common denominator of -31\/10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -5. Let s be 0 + (12\/(-114) - (-1602)\/57). Suppose -39*x + 32*x = -s. Solve -o + y = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 + 6 + -16)\/(2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3210343 millennia to decades.\nAnswer: 32.10343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 2*q + 24, -i - 79*q = -83*q - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -9. Let z(a) = 2*a + 16. Let d(q) = 4*q + 9. Let j be d(-4). Let f be z(j). Solve -f*u - u = -3*p + 9, i*p = 5*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -22. What is the remainder when 56 is divided by 3\/(3\/l) - 0\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 2*d + 174550, w + 4*d - 36601 - 50669 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 594\/7175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*o, -44*o + 12 = -48*o. Let d(p) = -4*p**3 + 3*p**2 + p + 3. Let u(q) = 3 - 4*q**3 + q + q**3 + 2*q**2 + 0*q**3. Determine h*d(i) + 3*u(i).\nAnswer: -i**3 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -57*r**4 - 540*r + r**3 - 61*r**4 + 119*r**4 - 2 - 345*r to y + f*r**3 + u*r**4 + j*r + p*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*q**2 - q**2 - 5*q**2)*(-250 + 511 - 243)*(-5 + 6 - 3) to the form c*q + o*q**2 + j and give o.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-192)\/(-72))\/(2\/6*1). Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8640924 years to millennia.\nAnswer: 0.0008640924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.4 + -5. Let n = -4.4 + 4. Which is the smallest value?  (a) k  (b) 1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 10:38 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3417 and 3294792.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 6 - 1 - 23)*(-4*z + z + 2*z) + (306*z + 468*z - 211*z)*(3*z + z - 2*z).\nAnswer: 1123*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 10604 = 2*y - 10592 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -127.3 + 127. Let r = 0.2 + 0. Is r != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9*2\/8*-4. Let w(h) = h**2 - 7*h - 11. Calculate w(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 22 = 5*s - 22, -3*k + 38 = -s. Let m = -8 + k. Solve 4*d + 3*h - 3 = 5, -m*d = -4*h + 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b**3 + 5*b + 1. Let q be k(-4). Let r = -1209\/7 + q. Let v be (10\/4)\/(-5) - 2. What is the nearest to r in v, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 1 + (-3 - -4) + 6 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2374609848 divided by -4\nAnswer: -593652462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -11*h + 2. Let a(r) = -7*r**2 - 164*r - 67. Let i be a(-23). Calculate c(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -947568 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 + 0 + 5 + -6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0*y + 40 = 0. Suppose h = -2*o - 3*h + y, -3*h = 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 75\/20)\/((-3)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 492.68 in 3, -1, 0.02, -1\/3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 6, j: 6}. What is prob of picking 2 j and 2 v?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((540\/1190)\/9)\/((-5)\/(280\/(-1))) and 37\/103.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24851165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -128, 1, 826 in descending order.\nAnswer: 826, 1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (295\/(-177))\/(6\/(-9))*20\/(-2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/11636 and 47\/456.\nAnswer: 1326504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 507*z**3 - 802*z - 1069096 with respect to z.\nAnswer: 1521*z**2 - 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - -3156\nAnswer: 3156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 2, -4, 1, 197, -2, 6 in decreasing order.\nAnswer: 197, 6, 2, 1, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1  (b) 0.2  (c) 1\/13  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 105\/88 and 113\/952.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4 + -3.6. Let m = 0.09 + 0.41. Put m, b, -8 in descending order.\nAnswer: m, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/((-1520)\/57))\/(12\/(-10)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7917*f**2 - 7878*f**2 + 15787*f**2 - 2*f.\nAnswer: -8*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210012101 + -1002002011?\nAnswer: -1212021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rurr when four letters picked without replacement from rruuririruru?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/5 + 8627*k**3\/5 - 25887*k**2\/5 + 25889*k\/5 - 1726.\nAnswer: (k - 1)**3*(k + 8630)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - -3 - (17 + (2 - 17)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/12 + ((-27)\/(-4) - 1). Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5268 - 1244?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 28 = 2*q - 2*y, 50 = 4*q - 2*y. Calculate the highest common divisor of 42 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 9:13 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 2*j + 3 + 48, 4*c - 45 = -3*j. Solve -5 = 2*z - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + q**2 - q + 1. Suppose 0 = -2*v - 38 + 2. Let r = 18 + v. Let c = r - 18. Let s(b) = -15*b**3 - 18*b**2 + 18*b - 18. What is c*f(i) - s(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -4, -2, 1, 10, -3 in increasing order.\nAnswer: -4, -3, -2, 1, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/(-72))\/((-5)\/(-20)*-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -424*q + 99*q + 2*i - 7148, 0*i = 3*q + i + 67 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -809*d**3*n**3 - 2*d**3*n + 902*d**2*n**6 + d**2 + 173*d - 19*n**2 - 26 wrt n.\nAnswer: -4854*d**3 + 108240*d**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*b*i**3 + 4668*b*i - 1217726*i**3 wrt b.\nAnswer: -6*i**3 + 4668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-20) - 27\/(-15). Suppose 2*n - 964 = -v*n. Let w = n - 80. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 6 = -2*d + z, -d + 4*z - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of 3*k**6\/40 + 10*k**3\/3 - 28*k**2. What is the first derivative of q(x) wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -3*sqrt(99)*2.\nAnswer: -18*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61 and 21289?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 4*x - 15, -3*x - 8 = -3*c + 7. Sort -0.5, c, 1 in decreasing order.\nAnswer: c, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-7)\/70*2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -747, -1291, -2739, -5541, -10147, -17007?\n\"Answer: -75*q**3 - 2*q**2 - 13*q - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32390730.\nAnswer: 2, 3, 5, 359897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 + -41. Let a be (-1 - 4\/l)\/(2\/(-18)). Suppose 9*q - a*q = 618. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3485*p + 5672. Let i(k) = 109*k - 2. Let z(o) = i(o) - l(o). What is the first derivative of z(x) wrt x?\nAnswer: -3376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = r + 30. Let q(p) = p + 3. Calculate q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (4\/2)\/1. Suppose -3*h = 3*b - i*h - 7, 0 = b + 3*h + 3. Let g be -2 + 0 + 2 - -2. Solve -1 = b*t + g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3 = 2*h, 3*h - x - 2*x = 18. Suppose 6 = -3*w + h. Which is the closest to w?  (a) -5  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 u when four letters picked without replacement from {q: 5, a: 2, u: 5}.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11344 + -2156. What is c rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 318491463 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*h**2 + 4790*h + 25*h**2 - 4793*h + 2 + 683*h**3 as k*h**2 + n*h**3 + d + q*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00643 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56 - 48 - 11*h**3 + 16*h**3)*(-2*h - 2*h + 3*h).\nAnswer: -5*h**4 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*14\/(-6) - 0. Suppose 5*i - 4 = -5*s + b*i, 4*s + 2*i + 4 = 0. Let q(p) = -p**2 + 2*p + 13. Let w be q(s). Solve 5*t - w + 38 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -13*t + 11*t + 4*d, d = 5. What is the remainder when 49 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2286 and 160782.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-10) + (-738)\/(-45). Suppose -m = u - 5*u. What is the first derivative of 3*g + 3 + 5*g**2 - u*g + g wrt g?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 16. Is 3 a factor of (1 - -4) + 8 + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.012 + -0.112. Is 13 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -8*m**2 + 0 + 0*m**3 + 0*m + 11\/24*m**4. Let j(c) = -3*c**2. Determine j(x(z)).\nAnswer: -363*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2172559 is divided by 2069.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(2 - 0 - -67). Let v = y - -481\/7. Let o = 0.85 - 4.85. Which is the nearest to 0?  (a) v  (b) o  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-40)*-5)\/(-49).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15150 = -554*o + 192 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 s = 1.4 + 3.1. Let b = 4 - s. Let i = -0.3 + 0.5. What is the smallest value in i, b, 2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 75 = 2*n. Suppose 0 = -5*o + 41 - 91. Let p be o\/15 + n\/9. Which is the closest to p?  (a) 2  (b) -2  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -159539 (base 10) to base 4.\nAnswer: -212330303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 1\/3, -1871, 5, -0.5 in decreasing order.\nAnswer: 5, 1\/3, -0.5, -49, -1871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -121b (base 16) in base 15?\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 381909766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from {g: 11, p: 2, i: 1, m: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 + 2*p**3 - 4*p**3 + 0*p**3 + 8*p + 6. Let q(v) be the third derivative of v**6\/24 - 3*v**4\/8 - 7*v**3\/6 + v**2. Determine 7*n(s) + 6*q(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*y + 3 = -6*w, w = 62*y - 63*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -55  (c) -6  (d) -1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, -1170, -4466, -10874, -21432?\nAnswer: -37178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1141\/675 + -37\/27. Which is the nearest to 1?  (a) q  (b) -2\/17  (c) 0.1  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (2 + -3 - -10 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 407880.\nAnswer: 2, 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 44 = -2*w, -11*q + 14*w - 39 = 13*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114118347.\nAnswer: 3, 7, 31, 307, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - d + 37 = 4*d, 24 = 3*b + 3*d. Let m(j) be the second derivative of 1\/7*j**2 - 1\/42*j**4 + j + 0 + 0*j**b. Factor m(n).\nAnswer: -2*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49572969, -49572972, -49572975, -49572978, -49572981?\nAnswer: -49572984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -23*o**3 + 4*o**2. Let s(k) = k**2. Determine 2*s(i) - w(i).\nAnswer: 23*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3330342 (base 6) to base 4.\nAnswer: 220312112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-14)\/140*-5)*2\/106?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 7. Let i be s(5). Suppose -3*d - 722 = i*o, -4*d - 579 = -5*o + 422. List the prime factors of 2\/3 - d\/12.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {g: 1, q: 2, o: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 0*o + 3*v = o - 25, -2*o - o + 4*v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/7))**(-26) assuming n is positive.\nAnswer: n**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 510\/(-12)*((-4)\/3 - (-222)\/(-333)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 8. Let x be 232\/(-16) - p\/(-2). What are the prime factors of ((-6)\/x)\/((-1)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 1664 = -n + 108, 5*n = 5*b - 1945. Let x(v) = -b + 389 + 23*v. Let w(o) = 3*o + 2*o - 3*o. What is w(x(s))?\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25289576, -50579145, -75868712, -101158277, -126447840, -151737401?\n\"Answer: n**2 - 25289572*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -484*w - 3883. Give l(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59 - -186. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 363 (base 8) to base 2\nAnswer: 11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -z, -2*j = -3*z + 8 - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.1, 395, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o - 460 = 8178. Is o a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 584 + 615 - 2*x - 279.\nAnswer: -2*x + 920","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 2*d + d**4 - d - 3*d - 3 as m*d + s*d**4 + w + c*d**3 + x*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 4*i - 4*g, 0 = 3*i + 3*g. Suppose -3*d + i = -5*s - 4, 4*s - 8 = d. Calculate the remainder when 30 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x - 2. Let m(o) = 1. Let q(d) = 3*m(d) - t(d). Suppose 19*z = 14*z - n + 17, 0 = 3*n + 9. Let u(r) = 8*r - 9. What is z*u(s) + 7*q(s)?\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-204)\/306*108\/24*40\/6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6808299952 and -0.03?\nAnswer: 6808299952.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*o - 7*o - 9540 = 0. Is 94 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102011210102 (base 3) to base 9\nAnswer: -364712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f - 39*f + 13*f + 9*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-9))\/(-5)*(-7)\/(-546)*6?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + 2 + 154 + 2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((3 - 1) + -3)*174. Let j = -171 - g. Solve 3 = -j*r - i - 6, -4*i = 5*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a (base 11) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 4*q - 5*o, -1194*o = 4*q - 1195*o + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q. Let f be o(-1). Let v = 10 + -9.952. Let m = v - 0.048. What is the biggest value in 2\/7, m, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 4*l + 3*o + 23, 0 = -2*l - 3*o + 11. Is 1\/l - (249\/(-6) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13761 and 14178?\nAnswer: 467874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -234 divided by -3.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 74 = -4*l, -35 = -5*l + 3*l - x. Let a be 4\/l + 114616\/36. Suppose -v = 27816 + a. What is v rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 28 = k, 4*k + 4*w = -28 - 68. Let a(x) = 2*x + 46. Let o be a(k). Suppose 0 = -o*n + 7*n + 1. Let p(j) = -6*j**3 + j**2 + j. What is p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3662*w + 89181 = -50*w - 309*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2017  (b) 4  (c) 2  (d) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - 2*g. Suppose 4*t - 8 = -8. Let v be u(t). Solve w - 3*w - 10 = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 1. What is the third derivative of -3*w**5 + 0*w**2 + w**5 - 2*w**f wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1698312 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkkkbbbbbkb. Give prob of sequence kb.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 311, 2920 in ascending order.\nAnswer: 5, 311, 2920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -87 - -164. Suppose -d - 16 = z + 1, 3*z - b = 5*d. Let i = d - -30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.35 from -0.08863.\nAnswer: -0.43863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143)*1)\/sqrt(11))**2 + (sqrt(13) - (sqrt(39)\/sqrt(3))**2*-1) + -4.\nAnswer: sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -160503777 + 160554560.0635. Let y = u - 50990. Let d = y + 207. Round d to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s. Let o(g) = g**2 + 8*g - 10. Let l be o(-9). List the prime factors of c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 3*y**2 + 4*y. Suppose 0*h - 5*h = 0. Let l = -1 - h. Let z be l\/(-1) + (0 - 5). What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*b**2 + 98 - 98 - 4*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2754 and 782442.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 - -41. Let q(j) = k - 1 - 10*j - 2. Let l be q(-2). Calculate the highest common divisor of 110 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 815*g**3\/6 - 5*g**2\/2 - 2*g. Let h be i(4). Suppose 10755 = r + h. Round r to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -38  (b) -0.3  (c) -81  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1281)\/14 - 2\/4. Is 0\/3 + -3 - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -180, -237, -258, -231?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7082 is divided by 2191?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61977*d + 57274*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15298.055 + 15298. Suppose 0 = 2*o - 6 - 0. Which is the fourth smallest value?  (a) -0.3  (b) f  (c) o  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 7. Let i be x(-6). Let c be (5 - -2)\/(i\/2). Suppose s - c = -s. What is the remainder when 13 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -108*c**2 + 2*c - 298.\nAnswer: -216*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7650.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.64 - -0.36. Which is the third smallest value?  (a) -0.1  (b) -1  (c) 1\/2  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 5*c**2 - 3*c - 10. Let a be k(-5). Suppose 15 = a*j + 4*s, -3*s + 8*s = -25. Let u = j + 3. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1527368, 1527393, 1527420, 1527449?\n\"Answer: i**2 + 22*i + 1527345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15210 + 121333?\nAnswer: 102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-0.0438\nAnswer: -0.01314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(((l**0\/l)\/l)\/l)\/l)\/(l**(-5)\/l*l))\/(l\/l**(-3))**39 assuming l is positive.\nAnswer: l**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 21. Factor 2*l**5 + 5*l + 12*l**3 + 0*l + b*l**2 + 8*l**4 - 3*l - 3*l**2.\nAnswer: 2*l*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*12.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -20391.\nAnswer: -20395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 90, 3102, 11358, 27480, 54090, 93810, 149262?\n\"Answer: 437*o**3 - 47*o - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 13. Is s\/((-4975)\/1655 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14040 and 879528?\nAnswer: 39578760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27156*t - 82157*t + 27218*t + 27447*t.\nAnswer: -336*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 0.69, 244\/17 in descending order.\nAnswer: 244\/17, 0.69, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4150664604 to the power of 1\/4, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in -6, -1, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0072816 to five dps.\nAnswer: 0.00728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 65.619498.\nAnswer: 69.619498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-0.44\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1191849485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 90429 to the nearest one hundred.\nAnswer: 90400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 7*g**2 + 5*g + 1. Let f be r(9). What is the highest common divisor of f and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1989\/12 - (-15 - -15). Which is smaller: o or 166?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.1 + 19.9. Let k = b - 24.00151. Round k to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-7) - (-72)\/21. Find y, given that 20*y**m - 48*y + 48*y**3 - 2 - 1 - 13 - 4*y**2 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i - 15. Let j(m) = m. Let p(a) = -2*a. Let d = -409 - -407. Let f(l) = d*j(l) - 2*p(l). What is v(f(s))?\nAnswer: 6*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-45 - -50)\/(2\/(-4)*-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 1314*p + 23582. Determine v(-18).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2682.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-33868)\/(-2252222))\/((4\/(-2))\/(-126))?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 4632636, 5 in descending order.\nAnswer: 4632636, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47291?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32570 + 48582. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -9*n**2 + 944*n + 6. What is k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -377*q + 12920 = -282*q. Let w(b) = b**3 - 3*b**2 + b + 4. Let c be w(5). Let h = c + -42. Calculate the greatest common divisor of q and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61 + 3. Suppose -16 = -66*f + d*f. Put -5, 5, 2, f in descending order.\nAnswer: f, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*b - 26*b + 884891. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 1. Let p(t) = -4*t**2 + 3*t**2 + 0*t + t + 16 - 12. Determine p(g) - 5*w(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 641\/9 - (258\/(-54) + 5). Let l = 65\/787 - 97729\/163696. What is the common denominator of l and z\/25*(6 + 152\/(-32))?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3971, 7988, 12005, 16022?\nAnswer: 20039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -8387 and -0.8414.\nAnswer: -8387.8414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 10) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 99798 to the nearest one thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2)*(-v - v + 4*v) + 58*v + 15 - 57*v + 8.\nAnswer: 5*v + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*p = 3*p - 5*p + 8932. Calculate the smallest common multiple of p and 22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 21 = f - 10, -5*k + 3*f = -49 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of h**4\/12 - 2*h**3\/3 - h**2\/2 - h + 3. Let z(i) be the first derivative of j(i). Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**2\/17 - 3304122*t\/17 + 23128952\/17 = 0.\nAnswer: -1652068, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaaooooaaaaooooa. What is prob of picking 1 a and 1 o?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + 35. Let p = 36 - l. What is the second smallest value in 4, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 3)\/(-6)*54\/(-8)*(-175)\/150.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 78 + 166. Suppose 2*w - 7 - z = 0. Let x be 2\/(-2) + -13 + w. Solve 4*y + 0*y + x = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -6*j - 40. Suppose 1 = -3*w - j*k, -18*w - 9 = -14*w - k. Put -5, w, -15, -4 in descending order.\nAnswer: w, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78840427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*p - 168 = -3*p, 2*z - 4*p - 82 = 0. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-20))\/((-384)\/(-1200))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x = -7*x - 69. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(((sqrt(36) - (sqrt(36)*3 + sqrt(36)))*4)\/sqrt(12) + 4 + sqrt(108) + 3))**2.\nAnswer: -756*sqrt(3) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(((c**(-2\/5)*c)\/c)\/c)\/c*c)**(-12\/13)*(c**(2\/7))**(-23\/2) assuming c is positive.\nAnswer: c**(-1327\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of 0 - 11*n + 0*n**2 - 1\/75*n**6 + 0*n**4 + 0*n**3 + 1\/50*n**5. Suppose b(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 21517 + 397 = 0. What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 467 - 14681. Is 18\/3 - d*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1695767071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v - 4. Let u be (-3)\/1 + (-210)\/(-6) + 3. Suppose -4*p = -9*p + u. Suppose -p*m = 1 - 8. Let h(s) = -1. Give m*c(z) - 3*h(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**3 + 20271*j**2 - 102718224*j - 102738496 = 0.\nAnswer: -1, 10136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1165, 2301, 3437, 4573?\n\"Answer: 1136*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-70)\/(-25) + -5 - -3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 1191872.\nAnswer: -1\/297968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 16*i**2 + 14*i + 14. Let a be w(15). Let u(p) = -6*p**2 + 116*p + 122. Let g(z) = 2*z**2 + 2*z. Let h(j) = a*u(j) - 4*g(j). Solve h(y) = 0.\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 268, 0, 22 in decreasing order.\nAnswer: 268, 22, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 5, 10 in decreasing order.\nAnswer: 10, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 97*s**5 - s**3 + 33*s**2 - 2?\nAnswer: 5820*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 0.3698, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) 207\/67  (b) 0.1  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*a**2*d**3*u**2 - 16*a**2*d**3*u - 5*a**2*d**2*u + a**2*d**2 + a**2*u**2 wrt d.\nAnswer: 66*a**2*u**2 - 96*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2 + 2746*w - 367872 = 0.\nAnswer: -2874, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 5*l + 48789, 29276 = -25*l + 22*l + 2*o. Does 5 divide l\/(-42) - (-8)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 9:38 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1, 1683, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 46*u**2 - 71 - 120*u**2 + 4*u**2 + 13*u**2 with respect to u.\nAnswer: -114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**3 - 514*f**2 + 5915*f - 5091. What is d(159)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/32 and (-12)\/(-15) - (193\/(-140) + -2)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k + 3. Let r(q) = 7*q + 3. Let v(u) = -6*n(u) + 5*r(u). Let p be v(-5). Let b be p*(-1 - (-21)\/6). Solve 3*h - 3 - 1 = 4*f, b*h - 2 = 2*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*c**4\/5 + 37*c**3 + 47*c**2 + 19*c + 6\/5 = 0. What is c?\nAnswer: -3, -1, -2\/3, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -263 + 265. Find the second derivative of -162*r**2 - 167*r**y - 91*r**3 + 329*r**2 - 18*r wrt r.\nAnswer: -546*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -193\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22\/7*t - 2\/7*t**2 - 36\/7.\nAnswer: -2*(t - 9)*(t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - (-2)\/(-2))\/1*-16. Let h(p) = -p**3 + 6*p**2 - 5*p + 5. Let v be h(5). Solve -4*t = 5*s + m, 3 = -v*t + 3*s - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.156951*-1\nAnswer: -0.156951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.9917966+-31.2\nAnswer: -30.2082034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18280, 36527, 54776, 73027, 91280?\nAnswer: 109535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 916.5156 milligrams to micrograms.\nAnswer: 916515.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-10))\/(-6*5\/100). Suppose -k*n = 4*j - 100, 4*n = -5*j + 33 + 69. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 11. Suppose 0*y - 2*y + 8 = 0, -4*k - 8 = -x*y. Let j = 20 + 13. What is the greatest common divisor of j and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 10*c**2 + 4*c + 3. Let k be d(-8). Let r = k + -74. What is the remainder when 147 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, -1\/127, -25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -10*v**3 - 6*v**2 + 5 + 155*v + 9*v**3 - 146*v. Determine l(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7487261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q*s - 586*q + 9335*s with respect to q.\nAnswer: 2*s - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 145, 0, 5 in increasing order.\nAnswer: 0, 5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, v: 3, a: 9, i: 3}. Give prob of picking 1 h, 1 i, and 1 a.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 4*b**2 - b - 4. Let o(r) = r**3 + 3*r**2 - r - 3. What is 3*k(h) - 4*o(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 12*m - 1. Let d(r) be the second derivative of -7*r**3\/6 + 164*r. Calculate d(g(k)).\nAnswer: -84*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 539746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + 38 + -21 + -21 + 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -36375643\/4 = -9093910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -45. Let m(k) = -200*k**2 + 0 - 2 + 197*k**2. Let q(f) = -39*f**2 - 27. Calculate v*m(o) + 2*q(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 2, 0, 82, 9 in decreasing order.\nAnswer: 82, 9, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/23807 and 3\/17005?\nAnswer: 119035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 701 = 5*u - 115, j + 346 = -3*u. Let h = -145 + 107. Calculate the common denominator of 14\/(-4)*u\/(-18) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**2 - 54*y - 55. Let q be j(-25). Calculate the greatest common factor of q and 1620.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 516783024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6372840 and 55416.\nAnswer: 6372840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 11 = -4*q. Let b = 14 + q. Find the first derivative of k - k - 2*k - b wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13096001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42478069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j**2 + 17*j**2 - 7*j**2 + 7*j**2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 67598089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**4\/19 - 1707048*m**3\/19 - 25605366*m**2\/19 - 81936736*m\/19 + 109249152\/19 = 0.\nAnswer: -853509, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2992.068 microseconds?\nAnswer: 2992068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202202020121 (base 3) in base 5?\nAnswer: 220033414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + 81. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 29 - 23)*(2 - 1 + 1)*(-66 + 33*k + 66 + (2 + 0 + 0)*(-2*k - 2 + 2)).\nAnswer: -1218*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -10, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 448421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -153 + 255. Let x = 217 - m. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -95, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*y**3 - y**2 + 216*y**3 - 23*y**3 + 13.\nAnswer: 218*y**3 - y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 791 = -3*n, -u - 20 = -5*u. Let l = 267 - n. Which is the nearest to -0.2?  (a) 2  (b) l  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 = 0, f + 18 = -3*s - 9. Let r be (1\/(-4))\/(5\/s). Suppose -y - 5 = -4. What is the closest to y in -3, r, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: aa (base 14) to base 9\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t - 5, 5*b + 5 = -41*t + 46*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbfb when four letters picked without replacement from fbbfb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (30\/7)\/(6\/42). Suppose -10 = a - d. Let y be 61600002\/(-8) - (-5)\/a. What is y rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8777 + 10231. What is the remainder when i is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 8*l**2 + 5*l + 17. Let v be j(7). Suppose -4*b + 35 = v*b. Solve -5*n = -b*o - 5, -n - 3*n + 1 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/294*8\/1*2\/16.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(425)*5*1)**2 + (sqrt(2448)*3 + 3)**2).\nAnswer: 1080*sqrt(17) + 163330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/71)\/(l*l\/l**(-3\/8))*l**(6\/13)\/(l*l**(-8\/5)) assuming l is positive.\nAnswer: l**(-47453\/36920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -f**5\/20 + 41*f**4\/8 + 21*f**3 + 45*f**2. Solve m(o) = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 16 + 12925773*k + 10.\nAnswer: 12925773*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 5*i = -c + 800, 4*i = -5*c + 3979. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18602 is divided by 9258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 13393014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 9:31 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 3*s + 63*w + 251 - 29 = 0, 0*s - 5*s = -5*w + 555 for s.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -505.4 - -505. Let g = 38 + -11. What is the nearest to -2 in g, b, 1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4 - 4*y + 3*y - 3. Let h be (4\/(4\/1))\/(3 + -2). Let m(i) = 315 - 317 - 21*i + 27*i. Give h*m(v) + 2*l(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 341642.66413 + -341645. What is y rounded to 2 dps?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3691312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000022087406 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28016?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 5*s + 652, -564 + 32 = 4*s - 2*v. What is the common denominator of 2\/3 - 146\/s and (-2*(-3)\/(-12))\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530.746999 rounded to 1 decimal place?\nAnswer: 530.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 1350*b - 9311. What is u(8)?\nAnswer: 1489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(720) + 3 + 2*sqrt(720)*1 + 1 + sqrt(720) + 2 + sqrt(720) + (0 + sqrt(720))*-3 + sqrt(720) + -1)**2.\nAnswer: 504*sqrt(5) + 6529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86*t**3 - 26*t + 495*t**2 - 4 + 77*t**3 + 500*t**2 - 1484*t**2 + 492*t**2 to the form v*t + w*t**2 + c + k*t**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a. Let s be (-4 + -5)*-278 + 3. Let r(k) = -s + 73*k + 2505. Give p(r(n)).\nAnswer: -73*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 8*t - 8. Let q be u(9). Calculate the common denominator of -2 - -12*(-16)\/(-30) and 1\/q - 112\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 459438*h**3 - 230043*h**3 - 229338*h**3 + 2.\nAnswer: 57*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 27 = 11*f - 8*f, -5*i = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 42855073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, w: 9}. What is prob of sequence wi?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87\/(-45)*(0 - -1) - 12\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -5*a**2 + 7*a. Let i(x) = 5*x**2 - 7*x - 1. Let p(w) = -3*g(w) - 2*i(w). Find j such that p(j) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6820, 8, 41?\nAnswer: -6820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.05 and -153178106011.\nAnswer: -153178106011.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 3*u - 3*x = 12, 3*u = -4*x - 23. Let k(b) = -18*b - 1. Determine k(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7261 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**3 - 23*k**2 - 8*k + 9. List the prime factors of g(-12).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.032846244 less than -920404?\nAnswer: -920403.967153756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 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: Put together -1619289.084883 and 31.\nAnswer: -1619258.084883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 6:48 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -364032 - -16?\nAnswer: -364013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 2*z - 64 + 62 = 0, -2*z - 2 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*c - 0*c. What are the prime factors of 127 + c\/(-3) + 2\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 2*k + 2. Let y be j(1). Is y less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l - 17. Suppose 38 + 12 = -5*u. Let t be c(u). Solve 7 - 22 = -t*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = -3*j. Let n(d) = -3*d - 4 - j + 1. What is the units digit of n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*v**3 - 59*v**3 + 20*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14385 - -14433. Calculate the remainder when 52 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 81635.054804 - 0.054804. Let j = n + -81636.05933. Let i = 1.06 + j. Round i to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 141272 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*i + 3924 - 1372 = 1377 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.004  (b) -0.014  (c) 5  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d7 (base 16) in base 12?\nAnswer: -69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 567.8.\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5561, -5561, -5563, -5567, -5573, -5581, -5591?\n\"Answer: -v**2 + 3*v - 5563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50.609 + -5.531. Let x = -55 - m. Round x to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 3)*(-5*x + 2*x + x + (4 - 4 + 1)*(2*x - 2 + 2) + 0 - x + 0) + x - x + x - 2*x - 2*x + 3*x + x + x - 3*x + (-7 + 2 + 3)*(0*x - 2*x + 4*x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*a + 3 = 35*a - m, -3*a - 8 = -5*m. Which is bigger: a or -19\/96?\nAnswer: -19\/96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8132086?\nAnswer: 2, 17, 239179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*l = -392. Suppose 0 = -12*m + 5*m - 7. Let x be (3 + m - 0) + -6 - -32. What is the highest common factor of x and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 168264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -5601*t**2 - 741532 + 741532 as y*t + o*t**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -32 + -2f?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 108*j + 5085. Calculate y(-47).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 2*b**3\/21 - 330*b**2\/7 + 94*b - 488. Find x such that g(x) = 0.\nAnswer: 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 2*s + 23. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -132*q**3 + 2*q**2 + 3*q - 7. Let u(t) = -266*t**3 + 5*t**2 + 5*t - 13. Determine -5*g(p) + 3*u(p).\nAnswer: -138*p**3 + 5*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fxafoafvfv. Give prob of picking 2 a and 1 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10424053165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4252450 - -2?\nAnswer: -4252444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 1)*(-4*l**2 - 6*l**2 + 17*l**2) + (0*l + 4*l - 2*l)*(-2*l + 3*l + l) - 5*l**2 + 3*l**2 + 0*l**2 as m*l**2 + b*l + y and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 2*z = -s + 30, 2*s + 4*z - 84 = 0. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 3 + 3 + (-4 + 3 - 3)*(-4 + 1 + 2) - 2 - 1 + 1)*((-1 + 1 + 2*t)*(2 - 3 - 1) - t + 7 - 7).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*l - 3*l, -3*i = -3*l - 6. Determine d, given that 6*d**3 + 4*d**3 + i*d**3 - 8*d**4 - 15*d**2 + 3*d**4 + 5*d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 y, and 1 j when three letters picked without replacement from {o: 6, e: 3, r: 1, y: 1, t: 1, j: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6 + 47 + 73 + 0 - 113*h**4 wrt h.\nAnswer: -452*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, b: 3, g: 1, q: 1}. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccruzczc. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -25, 3\/98, -0.4, -0.2 in decreasing order.\nAnswer: 3\/98, -0.2, -1\/3, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/60 and -121\/3126?\nAnswer: 31260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1646, 3351, 5032, 6677, 8274, 9811, 11276?\nAnswer: 12657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 0*c = c - 84, -c = -4. Let z = f - 14. Suppose -z*k + 3*l = -2*k - 56, -4*l = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -1320*h - 4722. Is k(-19) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2219.\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -z**6\/9 + 22*z**5\/3 - 667*z**4\/6 - 1682*z**3\/3 + 3638. Factor d(t).\nAnswer: -2*t**2*(t - 29)**2*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z**3 + 8*z**2 + 4*z - 7. Let a(v) = 14*v**3 - 23*v**2 - 13*v + 20. Let w(x) = 4*a(x) + 11*c(x). Suppose 0*k + 6 = k. Is w(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10975123, 21950237, 32925351, 43900465, 54875579, 65850693?\n\"Answer: 10975114*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*o = -116, 5*c - 5*o - 111 - 49 = 0. Sort -5, 1, c, -14 in decreasing order.\nAnswer: c, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -153*d - 701 with respect to d.\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26843 and 9894014?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + w**2 + 1. Let x(u) = -27*u**2 + 23*u + 61. Let a(n) = i(n) + x(n). Let p be a(25). What is the remainder when 2149\/28 - 9\/p is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 23*k**2 - 48*k - 35. Let o be g(25). Let z(v) = -v + 19. Calculate z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 13*v + 22. Let r be a(-11). Sort -2, 1, r, 2.\nAnswer: -2, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s*s*s*s**(-2)*s*s*s**(3\/7)*s**4\/(s**(-2)*s) assuming s is positive.\nAnswer: s**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 2 + 7 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.262 and 3.\nAnswer: 0.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -438*n**2 + 12255*n - 36. Give u(28).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z + 1. Let p be h(-7). Let i(c) = -c - 11. Give i(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*(-2 - 10\/(-4)). Let f = y + -4. Calculate the common denominator of ((-14)\/f)\/(2\/14) and -113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 10  (b) 5  (c) -0.2  (d) 2\/9  (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 22. Let m be (-80)\/(-36) - 2\/g. Suppose 7*s - m*i - 76 = 3*s, 0 = 3*s + 5*i - 31. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*b - 161*b + 2*d = -400, 404 = 2*b - d. What is the remainder when 1005 is divided by b?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1485 + 355 = -52*h + 1106 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) + sqrt(156)*1*2 - (-2*sqrt(156)*-2 + sqrt(156) + sqrt(156)))\/((sqrt(108) + 4*((-3*sqrt(108) - sqrt(108)) + sqrt(108)))\/sqrt(9)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -104154.8 less than -835?\nAnswer: 103319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -551 - -598. Calculate the remainder when 195 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45047\/55 - -819. Let z = d + -31\/660. Let w = -2 - -1. Which is the closest to w?  (a) z  (b) -2\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 1336*o + 981958. Give k(-735).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2106\/54)\/13)\/(-6*5\/340)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.811, 0.7, 5?\nAnswer: 2.811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 202 and 1836584.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -2*m + 0*m**3 + 1\/3*m**4 + 0 + 0*m**2. Let u(a) = -2*a + 0*a + 5*a. Calculate u(n(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*w**5 + w**4 - 187534*w**2 - 93605*w + 23.\nAnswer: -80*w**3 + 12*w**2 - 375068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (40\/140)\/((-2)\/(-49)) - 13. Let q(n) = n**3 + 6*n**2 + 7. Let g(v) = 3*v**3 + 17*v**2 + 20. Give x*g(o) + 17*q(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**2 - 5 + 53*x + 5.\nAnswer: 2*x**2 + 53*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1939269239 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**4 + 5116*n**3 - 8726190*n**2 + 4965198700*n - 4956477625 = 0.\nAnswer: 1, 1705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/39)\/((-7)\/3) - 378\/(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -320*c**2 + 45*c. Let v(m) = 107*m**2 - 15*m. Let k(t) = -4*s(t) - 11*v(t). What is the second derivative of k(j) wrt j?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 11 + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -5) + 63\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25754817 <= 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 13 = -f, -48*g - 4*f + 31 = -53*g. Let u(v) = 0 - 5*v - 2*v**2 - v**3 - 1 + 4*v. Determine u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0.3  (b) 0.5  (c) 672  (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1071 - -1520. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*d + 1 - 4*d + 7*d)*(2*d**4 + 12*d**3 + 16*d**3 - 10*d**3).\nAnswer: -22*d**5 - 196*d**4 + 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -187.9 + 187.91. What is the nearest to -1\/2 in 0.05, a, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125550*b**5 - 245880*b**4 + 67821*b**3\/2 + 90755*b**2\/2 - 3101*b + 52 = 0.\nAnswer: -2, -4\/9, 1\/30, 13\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006308 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(4 - 5 + 4)*(6*m - 31*m - 14*m).\nAnswer: -234*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.6 - 2. Which is the third smallest value?  (a) n  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 93 = 2*g, -g + 4*y - 265 = 4*g. Is -48 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 - 12 - 59*d + 57*d)*(-d + d + 2*d**4).\nAnswer: -4*d**5 - 68*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -735*h*j**2 + 59*h + 3*j wrt j.\nAnswer: -1470*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -11 - 78*y**2 + 77*y**2 - 6*y + 5. Let g(c) = 2*c**2 + 11*c + 11. Let s(q) = -6*g(q) - 11*m(q). Let k(o) = 26*o. What is k(s(i))?\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 74993 (base 10) to base 9\nAnswer: 123775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 230 - 126. Let f = x - 10. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -249\/31 + 2801\/341. Factor 2\/11*p - i*p**4 + 2\/11*p**2 - 2\/11*p**3 + 0.\nAnswer: -2*p*(p - 1)*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -82. Let z = n - -53. What is the hundreds digit of 20\/50 - 688\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2350*u + 4703. Give l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 502395 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 295*s**3 - 18*s**2 - 21*s - 18. Let d(h) = 148*h**3 - 8*h**2 - 10*h - 8. Calculate 9*d(m) - 4*v(m).\nAnswer: 152*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 14*x**2 + 9*x + 116. Let k be s(-14). Let t(o) = 6*o + 56. Calculate t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 85\/2, 7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4)*(-21156)\/(-774).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -591, -1907, -4443, -8601, -14783, -23391, -34827?\nAnswer: -49493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 22*y**3 - 13*y - 23. Let m(v) = 11*v**3 - 6*v - 12. What is -13*m(b) + 6*s(b)?\nAnswer: -11*b**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 294267 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3529957 divided by 31.\nAnswer: -3529957\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from yknqb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.612 - 1.389. Round f to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1136635 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13821444 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzog when four letters picked without replacement from {z: 4, o: 1, g: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(3\/2)\/i))\/i)\/(i*i**(1\/12)*i)*(i**2*i)\/i*i*i**(-1))\/((i\/i**6*i*i\/((i**(-7)\/i)\/i))\/(i\/i**(-1))**(2\/9)) assuming i is positive.\nAnswer: i**(-221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 2*k, -4*j + k - 77 = -83. Put j, 1, -2, -7, 5 in ascending order.\nAnswer: -7, -2, 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11904 and 10992.\nAnswer: 2726016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 504 (base 6) to base 10.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8889232?\nAnswer: 2, 11, 17, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -0.6. Let h = 18 - 14.6. Let a = h + d. Put -1, 0.4, a in descending order.\nAnswer: a, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 21\/239434?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 98002 and 1426187.\nAnswer: 54195106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/((-7488)\/1080) + 7\/14*-134\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2)*x**(-5)*x)\/(x**(-2\/3))**(-28))\/((x\/x**0)\/x*x**(-2\/7)*x**(-1\/4)*x*x\/(x*x\/(x\/x**(-1\/2)))) assuming x is positive.\nAnswer: x**(-2153\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 4*z - 3 = -z, 0 = 3*j + 2*z - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1383 - -2482. Suppose 590 = n - 3*f - 513, u = n - 5*f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**(-5)*p*p\/p**(-8)*(p**(-4))**(1\/33) assuming p is positive.\nAnswer: p**(194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 42. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28541?\nAnswer: 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 13*k**7\/840 + k**5\/60 + k**4\/24 + k**3\/3 - 5*k. Let j(s) be the second derivative of z(s). Give j(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22 - -1305124045?\nAnswer: 1305124023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 159\/5. Let a = 3 - 4. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 10*g - 74. Let o be x(15). Put o, 131, 0.5 in descending order.\nAnswer: 131, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - w + 7*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88482268 by -6.\nAnswer: -44241134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32 + -28. Let o = -16 - q. Let i be -3 + 1 + o\/(-5). Solve -5*n + 6 - i = 3*b, 3*n + 6 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (2 + 0 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 3*w - 2*w)*(4 + w - 4) - 24*w**2 - 8945618*w - 12 + 8945618*w to the form m*w**2 + y + s*w and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62857624.\nAnswer: 2, 19, 413537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-1\/5))\/(d*d*(d*d\/(d*(d\/(d\/(d*(d*d\/((d*d**(4\/11))\/d))\/d))*d)\/d)*d)\/d*d)*d**(-9)*d\/(d*d**(-26)*d*d) assuming d is positive.\nAnswer: d**(761\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*b + 6*b - 297 = -36*b. Sort b, -0.0607, 0.2.\nAnswer: -0.0607, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29554 and 18999?\nAnswer: 265986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -t**8\/672 - t**7\/210 + t**5\/60 + t**4\/48 + 136*t**2. Factor g(f).\nAnswer: -f*(f - 1)*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = w - 475 + 686, -g = w - 65. Solve 3*v + 14 = -4*f, -5*f - g*v = -74*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*i - 1874, 0 = 2*i + 6*r - 8*r - 756. Let l(p) = -153*p**2 - p. Let k be l(1). Let o = k + i. List the prime factors of o.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 959646 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68 + -38. Suppose -3*m + m + 4*p - s = 0, -5*p = 5*m. Is -2 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -8*a**4 + 9*a**2 + 11. Let p(w) = 2*w**2 - w - 3 + 6 - 2*w**4 + w. Let y(x) = 2*o(x) - 9*p(x). Find the first derivative of y(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 95142*v**2 + 12*v + 61. Is m(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2299)*1 - sqrt(2299)))**2 - ((1*sqrt(2299))**2 + 0) - (sqrt(95)\/(sqrt(180) + sqrt(5)) - (3*sqrt(95) - sqrt(95))\/sqrt(5)).\nAnswer: -2299 + 13*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 14*x + 10*x + 12 = 9 + 20, 5*x = 3*j - 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + -4. Let c be 0 + -3*z\/6. Let g = -1992\/7 - -285. Is g < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 0 - 18\/11*b**4 + 2\/11*b - 14\/11*b**2 + 30\/11*b**3 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**2 + o**2 + 8*o + 11*o**2 - 6 + o**3. Give i(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4897366 is divided by 1476.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - -8. What is the least common multiple of 1 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 63 and 16667448.\nAnswer: 50002344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 67*q**2 + q - 2. Let d(k) = -2*k. Let n be d(1). Let w be i(n). Suppose -2*z + 0*z + 48 = 0. Calculate the highest common divisor of z and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*t**2*y + 2*b**3*t*y - b**3*y**2 + 159*b**2*t**3 + 134*t**3*y**3 - 3*t**3*y**2 + t wrt y?\nAnswer: -2*b**3 + 804*t**3*y - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -110000110000010010100 (base 2) to base 10\nAnswer: -1597588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o**3 - o**2 + 38 - 38)*(10 - 10 + 5*o).\nAnswer: 30*o**4 - 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 6) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -542 divided by 38\nAnswer: -271\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from rgraargrkaaagrakrm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - b - 8 = 0. Solve b*a + 3 + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 7:31 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -5*m + 3*g, 6*m - 2*g = m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f + 25. What is the remainder when 19 is divided by k(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 4*n**2 + n - 6. Let m be r(-5). Suppose 5*l = u - 37, -2*u = -0*u + 2*l - m. Solve 0 = -5*x + 8*x - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 5:54 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*q = -55*q - 42. Suppose -6 = b - q. Let s(w) = -16 + 28 - b*w - 12. Let k(n) = 7*n. Calculate s(k(g)).\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*x + 102 = -201*x + 68*x. Which is the nearest to -11.8?  (a) -0.2  (b) -2\/3  (c) x  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1205750 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-7)*s)\/s)**(5\/8) assuming s is positive.\nAnswer: s**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - r + 5 = -0*g, 0 = -5*g + 5*r + 15. What is the fourth biggest value in -3\/7, -4, -0.4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3360\/(-1960))\/((-10)\/14*22\/55). Put 39, 4, -4, i in decreasing order.\nAnswer: 39, i, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*x - 20*x = 704275. List the prime factors of x.\nAnswer: 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 7*i**3 - 8*i**2 + 7*i + 12. What are the prime factors of b(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7 + 490\/(-20))*1351200\/14. Round i to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 2\/4401, 0.4, 0.1, -1\/148?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 50\/341, 0.4, -2, 3\/5, 5\/2, 0 in increasing order.\nAnswer: -2, 0, 50\/341, 0.4, 3\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42589 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ab13 (base 14) to base 9.\nAnswer: -172012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -441341.99 to the nearest one thousand.\nAnswer: -441000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -35118 divided by -3\nAnswer: 11706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does -101599\/18 = -5644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1378, -2725, -4072, -5419, -6766?\n\"Answer: -1347*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 8*p**2 - 3*p - 7. Give x(7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19226114009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -10. Let a be (-2)\/s - (-78)\/21. What is the third derivative of 3*d**3 - a*d**3 + 10*d**2 + d**3 + 2*d**5 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -13*m**3 - 2*m + 1. Calculate k(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -484*x - 125. Is p(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 76 - 19 + 5*f**3 + 17*f**3 wrt f?\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u - 1 = -k - 12*u, -2*k + 4*u = 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 8, k: 2, g: 2, t: 1}. Give prob of sequence kxg.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - k - 2 = -0*k, 5*n = -3*k + 26. Suppose -5*d = -l + 14, -5*l - 5*d = -6 - n. Let x = l - -1. Sort x, -2, -4 in ascending order.\nAnswer: -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -5*n + 6110. Let h(b) = -3*b**3 + 8*b + 35. Let x be h(-6). Let g = n - x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11542 is divided by 109.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1f8 (base 16) in base 15?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -129841.\nAnswer: 38952.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b*b\/(b*(b\/b**(-14))\/b*b))*b*b*b)**(12\/13)*b**(-2\/3)\/b*b**(3\/2))**3 assuming b is positive.\nAnswer: b**(1355\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.03294 + -32.37706. Let s = -33 - n. Let u = -0.59198 - s. Round u to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9767 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of -2*t**5\/15 + 38*t**4\/3 - 2732*t**3\/9 - 988*t**2 - 1014*t - 914. Suppose l(j) = 0. What is j?\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-84) + (1008\/64 - 16))*-133.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/30*-12 - 6\/(-15). Suppose 5*h + x*w - 24 = h, -3*w = -4*h + 10. Solve 0 = j - h*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + f - 36, -4*h + f + 92 = -67. Let s = 37 - h. Suppose -9 = 4*a - 1. Are s and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-2\/5))\/(v\/v**15)*(v**(-9)\/v*v)\/(v\/v**(-14)) assuming v is positive.\nAnswer: v**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3098965 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 84063830 and 2.6.\nAnswer: 84063832.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -134 + 130. Sort 1, -3, 2, r.\nAnswer: r, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 176.79 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2336, 2262, 2096, 1790, 1296, 566, -448, -1794?\n\"Answer: -8*i**3 + 2*i**2 - 24*i + 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 3 - 5) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 10*l**2 - 4*l - 1. Let s be 10\/(80\/(-6))*-12. What is the remainder when 172 is divided by k(s)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -534\/19 in -617\/3, -3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 7*k**2 - k - 17. Let d be 150 - 1\/(5\/(-25)). What is the least common multiple of t(5) and (d\/(-15) + 5)*(-6)\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-2 - -17 - (26 + -33))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, o: 1}. What is prob of sequence bbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b**2 - 107*b + 26. What is the remainder when 1245 is divided by j(-35)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84194889\/7 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t*t**(-28)\/t*t)*t*t**(-38))**(1\/64) assuming t is positive.\nAnswer: t**(-5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/12 and 27\/424940.\nAnswer: 1274820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65784141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 71980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9875 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -4*h + 2, 5*h + a - 6*a = 25. Let r be (887\/h)\/(1\/3). Let c = r + -1843\/2. Find the common denominator of c and 7\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 + 68. Suppose 7 = q - 4*h - u, 1 = h. What is the remainder when q is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -429, -1654, -3703, -6582, -10297, -14854?\n\"Answer: -r**3 - 406*r**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(2*f**2 - 2*f**2 + 5*f**4) - 23*f**4 - 10*f**4 - 14*f**4.\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (630\/36 + -13)\/(-1*6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98377 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6\/5, -0.3, 6\/173, 2\/193?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4845*n**5*w + 2*n**4*w + 4720*n**2*w - 4*w wrt n.\nAnswer: -290700*n**2*w + 48*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from rvzrzeso?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-2))\/(-1)*(0 + 538). What is the derivative of -288*f**3 + 9 + l*f**3 - 3 wrt f?\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f - f**2 + 0*f + (2*f + 3 - 3)*(f + 3*f - 6*f) + (-496 - 14*f + 11*f + 537)*(-2 + 17*f + 1 - 14*f) to the form r*f**2 + j*f + s and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2. Let x(u) = -3*u - 4. Let j(z) = -2*z - 3. Let l(m) = 4*j(m) - 3*x(m). What is d(l(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1187691 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11113 + -10897. What is the highest common divisor of q and 23436?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the second derivative of -h**7\/1260 + h**4\/6 - 4*h. Let y(c) be the third derivative of k(c). Let j(r) = -r. Calculate y(j(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 938989.7 hours in microseconds?\nAnswer: 3380362920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5684 by -2842.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 18. Let z be (-3)\/9 + p\/(-3). Suppose -s = -z - 12. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**2\/2 - 2562*f - 3281922 = 0 for f.\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 19008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66908 + 176932 = 5*z. Is z a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7359 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (20 - 27)\/((-2 - -3)*1). What is the remainder when 204 is divided by -15 + 23 + (-2 - w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (-18)\/(6\/2). Let w be 9\/c - (-5)\/(-20). Solve 3*x = 2 + 4, w*u - 16 = -3*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27883*c - 4*u = 27882*c - 35, 25 = -3*c - 4*u for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/30))**(-33)*m\/m**(-38)*m*m\/m**(13\/6) assuming m is positive.\nAnswer: m**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.4, 5\/3, -31 in ascending order.\nAnswer: -31, 0.4, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4990 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 328.75 * -0.08\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-7 - (3 + -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 131 + 12?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 0*v + 6\/7*v**7 + 0*v**2 + 11\/3*v**3 + 0*v**6 - 3 + 0*v**4 + 0*v**5. What is the third derivative of a(n) wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 76, 37, -30, -131, -272, -459, -698?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62.6 - 62.8. Sort 4\/3, z, -0.62, -4 in descending order.\nAnswer: 4\/3, z, -0.62, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkookoooookoookkkkk. What is prob of sequence ok?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*972.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 17.00000065. Round k to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**2 + 3*a + 2. Let j be c(3). Let f = 10 + j. Suppose -51*b + 36 = -47*b. Calculate the remainder when b is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 3 - 3)*(1 - 2*j - 1) + 2*j + 227032 - 227032 + 264*j**2.\nAnswer: 262*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -1 + (-3)\/(-1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*p - 15*p + 170 = 782 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 20108, 20069, 20004, 19901, 19748, 19533?\n\"Answer: -2*x**3 - x**2 - 22*x + 20133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -59 + (5 - (4 - 5 - (26 - 26)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 13 and -10605.\nAnswer: -10592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 364 - 255. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and 1205985236?\nAnswer: 1205985236.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)\/sqrt(144) - sqrt(13) - (-2*sqrt(13) + -3))*2*5)**2 + (sqrt(26)\/(sqrt(12)\/sqrt(6)) + (sqrt(13) - (sqrt(1053) + 1)))*-3.\nAnswer: 771*sqrt(13) + 11737\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-441)\/(-56) + -8)*(-24)\/27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2099, 2095, 2079, 2045, 1987, 1899, 1775?\n\"Answer: -z**3 + 3*z + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -85.392202215 + 85.392. What is f rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 11*f**2 + 9*f + 3. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -229*i + 293. Let n(c) = c**2. Determine n(a(j)).\nAnswer: 52441*j**2 - 134194*j + 85849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1086 + -1075. Let v(m) = m**3 - 10*m**2 - 10*m + 7. Calculate the remainder when v(11) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 184 + 776. Suppose 33*h = 29*h + a. Solve 0 = h*m - 20*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7*2*((-12)\/3 + 729\/162). Sort d, -1, 3, -80 in ascending order.\nAnswer: -80, -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d + 14. Let g be f(-6). Let x be (g\/5)\/((-2)\/10). Solve b = -4*r + 21, 2*r + 29 = x*b + 7*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -420 or -49886\/119?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18778444 is divided by 394?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**3 + 2 - 2)*(4 - 4 - 1) + 2*k**3 - 3*k**2 + 3*k**2 + 5*k**3 - 3*k**3 - 4*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46358 - -46681. What is the remainder when 5810 is divided by j?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7364555 by 1465.\nAnswer: 5027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1576637 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 7*c - 16. Let n be w(-2). Let o(u) be the first derivative of -u**n - 2\/9*u**3 - 4\/3*u + 4. Factor o(p).\nAnswer: -2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -83.5 - -88.5. Put m, -2\/3, 17, 0.1 in ascending order.\nAnswer: -2\/3, 0.1, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011100010001110000 (base 2) to base 12.\nAnswer: -162894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13547062 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 29*j - 20. Let i(n) = 59*n - 43. Give 9*d(f) - 4*i(f).\nAnswer: 25*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 275400499?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13059.\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (-8 - 14)) + 2 + -35.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-30)\/113)*(-131 - -201 - 64).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 - 1 + 4)*(-2 - 7 - 4) + 2 - 3 + 3 + 3 - 4 + 0 + (1 - 3 + 0)*(0 - 1 + 0) + 2 - 1 + 0)*(-2*b + 2*b - b) in the form j*b + c and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 - 7*s - 5. Let q(c) = -10*c**2 + 35*c + 24. Let h(x) = -11*d(x) - 2*q(x). Let o be h(4). Solve -p + 2*p + o = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - ((46 - 8) + -78)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 959 divided by -1397?\nAnswer: -959\/1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-198070)\/580 + 340)\/((-2)\/(-9))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 150226 - -1?\nAnswer: 150227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 153*h - 5068.\nAnswer: (h - 28)*(h + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2689437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j*n**2*w - 458*j*n*w - 3*j*w + 9*j + 2*n**2*w + 2*w + 54 with respect to n.\nAnswer: -4*j*n*w - 458*j*w + 4*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 1:52 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 960 and 30540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-20))\/((-112)\/(-40))*(-86)\/387.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f**3*q + 1683*f**2*q - 38*f**2 + 24*f*q + 3*f + 97*q wrt f?\nAnswer: -6*f*q + 3366*q - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**3 - 8*m**2 - 32*m + 8. Let d(i) = i**3 - 3*i**2 - 11*i + 3. Determine 8*d(x) - 3*q(x).\nAnswer: 2*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 997 is divided by 327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 613704 and 8430.\nAnswer: 3068520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*j + 11*j - 12*j)*(-3 + 4 + 0 - 1 - 19 + 11 + (-1 - 3 + 5)*(3 - 3 + 7)) in the form z*j + d and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -84.54 - -82.54. Which is the nearest to g?  (a) -0.7  (b) 4  (c) -0.6  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-75)\/45)\/(2\/(-108)). Let z be -2 + ((-3)\/(-4))\/(j\/480). Solve 2*n = -3*t - 13 - 1, -2*n = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.6  (b) -0.1  (c) -2\/11  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o + 15 = -2*h + 2*o, 1737 - 1779 = 4*h - 2*o for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2712162 or 2712167?\nAnswer: 2712162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 9, x: 9}. Give prob of picking 4 h.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*m = 3*s, s - 20 = -4*m. Suppose s*y + 25 = 4*c + 3*y, 3*c = -5*y + 36. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a - 2*a - 2*a)*((1 - 3 + 1)*(2 - 2 - 2) - 3 + 0 + 2)*(-2*a**3 + 4*a**3 + 0*a**3) as w + u*a**2 + r*a + b*a**3 + l*a**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**2 + 1811*j + 20 + 13 - 1811*j - 9*j**2 to the form a + t*j**2 + g*j and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbw when three letters picked without replacement from {w: 6, j: 2, b: 4, m: 1, s: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5aaa (base 15) to base 9\nAnswer: -28407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.9362 to 2 decimal places.\nAnswer: -5.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1236578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1008089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38)\/((68\/119)\/((-1)\/(-21)) - 11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3350*x - 10 + 12 - 2.\nAnswer: -3350*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/2 and -3232157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**2 - c**2 + 0*c**2 + c**2 + 0*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 244*o**2 - 966*o - 209. What is i(240)?\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 516613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 6 + 6. Let f(l) = 0 + 1 + 4 - l - 3. Does 6 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -242 - 3*k + 220 - 2690 - 1827 + 2*k as r*k + l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 0, 877 = 4*y + 5*z - 31. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -76*w**2 - 2556*w - 1584.\nAnswer: -4*(w + 33)*(19*w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 65c (base 14) in base 5?\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*1 - sqrt(180))\/sqrt(6) + (sqrt(750) - sqrt(750)*1))\/((-1*sqrt(96)*4 - sqrt(96))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -3\/2*b**2 + 2 - 2*b. What is y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3756.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 4*g = -216. What is the lowest common multiple of 54 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4*q - 5. Let a be r(-2). Is 4 a factor of 12\/a - 40\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 26275711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/q**13)*q*q)\/(q*q**(-6)*q*q)*q**(-12)*q**(-5)*q*q assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*r**4 + 35704*r**2 + 1379631 wrt r.\nAnswer: -8*r**3 + 71408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 77490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22500 + 8974 + 27778 + 2876 + 7199)*(-2*t + 0*t + 4*t) to the form b + x*t and give x.\nAnswer: 138654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f + 1. Let y be k(0). Let s be 0 + 2 + 0\/y. Factor -13*w - s*w**2 + 13*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -5*g**3 - 1. Let l = -8 + 7. Let w be p(l). Suppose w*z = -z + 4*i - 10, 4*i - 16 = 2*z. Solve 4*q - 2 = 6*q + 4*m, z*q - m = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - z**2 + z - 2. Let u = 16 - 4. Let l(t) = -3*t - 12. Let x(m) = -2*m. Let h(j) = -l(j) + 2*x(j). Let r be h(u). Calculate q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.7 - -5.69999929. Round w to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 0 + -7 + -5 + (-1 - -7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15.4 + 15. Let l = -796 + 801. Which is the nearest to 0?  (a) g  (b) 4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 6*t. Suppose x = 4*x - 465. Suppose 12*c - 7*c = x. Let i(u) = -c*u + 12*u + 11*u. Calculate h(i(v)).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*u + 51, 4*q - 9*u + 5*u = 48. Suppose -1488 = -q*x + 1860. Calculate the lowest common multiple of x and 1.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 63*x**2 - 67*x**4 - 83*x**4 + 227*x**4 - 92*x**4 + 3*x**3 - 54*x + 3*x**5 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152405\/(-3080) - -51 - 6\/16\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 457240472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -691 - -1239. Suppose 0 = -4*s + 4*m + d, 6*s - 4*s = 3*m + 273. Suppose -2*n + 4 = 0, -5*y + 348 - s = 5*n. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -325 - 932. Suppose g - s = 7, 3*g + 2*s = -0*g + 6. List the prime factors of 1\/(g - n\/(-315)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 145, 2, -2 in descending order.\nAnswer: 145, 2, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5819071 and -25.6.\nAnswer: -26.1819071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -66*h - 77. Let o(d) = 4*d + 361. Give k(o(u)).\nAnswer: -264*u - 23903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/3327 and 69\/24398.\nAnswer: 73194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 915 bigger than 931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**5 + 5236*y**4 + 20904*y**3 + 31336*y**2 + 20884*y + 5220 = 0. What is y?\nAnswer: -1305, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 5:49 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/6 and (-2965)\/770 + 2\/(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/2, -0.1, -13, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-213)\/1)\/(2635\/(-187) + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -621, -627, -637, -651?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2100507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 5*j + 42. Let c = 23 - j. Let x be (-8 + 0)*c\/4. Put x, 0, -1 in increasing order.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -20458, -20430, -20402, -20374, -20346, -20318?\n\"Answer: 28*s - 20486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 11*t - 2. Does 15 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5947 + -5948. Let w be (-7 - -3)*(-1)\/(-526). Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 1\/6, 0, 103?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 4*d**3 + 4*d. Let v(j) = -j**3 + j. Suppose -32*o - 156 = 7*o. Calculate o*v(t) + c(t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 12*k + 9. Let i be l(11). Let a be 3 - -1*(-2)\/i. Solve 0 = x + a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2852042111.\nAnswer: 17, 167767183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.4  (b) -26  (c) 1\/98  (d) 2  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4140 - -9992. List the prime factors of v.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h + 4*h - 2*h**2 + 0*h**2 + h**2 - 3*h**2 + (0*h + 3*h - 2*h)*(4*h + 2*h - 4*h) - 3*h**2 + 2*h**2 + 3*h**2 + h + 2*h**2 - h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9095 a factor of 963627692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -848 - 111*h - 4*h**4 - 42*h + 227 wrt h.\nAnswer: -16*h**3 - 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 12:14 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-176)\/(-208) - (-6)\/39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0.4  (b) 2\/11  (c) 7.52  (d) 3\/5  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-0.188\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -89 + 37. Which is greater: k or -55?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -23, -14, -9, -14, -35, -78?\n\"Answer: -h**3 + 4*h**2 + 4*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4602, 4606, 4604, 4590, 4558, 4502, 4416?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*l*v**5*x - l*v*x + v**5 + 3*v**3*x + 2*v + 4 wrt v.\nAnswer: 60*l*v**3*x + 20*v**3 + 18*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 167*x**4 - 8*x**2 - 28*x + 6. Let g(f) = -111*f**4 + 5*f**2 + 19*f - 4. Let d(l) = 8*g(l) + 5*y(l). What is the second derivative of d(o) wrt o?\nAnswer: -636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**30*r)\/(r\/r**(3\/13))*(r\/(r\/(r*r*r**2))*r)\/(r**(-17)\/r*r) assuming r is positive.\nAnswer: r**(679\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-14) - 25\/(-55)*-8.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50606505 (base 8) to base 9.\nAnswer: 22086102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4028875 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 1:20 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 + -7.94. Let o = -189.9 - -182. Let l = o - g. Is -3 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w**2 - 1205*w + 15999. Give z(-314).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/7 in 47, -5.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18.32 and -5?\nAnswer: 91.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 + 2)*(-10 + 4*p + 10)*(3*p - 3 + 3) - p**2 + 3*p**2 - 7*p**2)*(13*p**2 + 21*p**2 - 37*p**2).\nAnswer: -93*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38.1 + -25. Let u = 13 - h. What is the nearest to u in -2\/7, 1, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14941*g - 2 + 17230*g + 4 + 31746*g - 2422*g.\nAnswer: 61495*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -459496 + 306024427\/666. Find the common denominator of r and -143\/6.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + f**2 - 2 + 3*f**2 + f**2 - 3*f**2 + (-f + 2*f + 0*f)*(0 - 2*f + 0) - f**2 - f + f)*(-2283*f - 135*f**2 + 2283*f).\nAnswer: 135*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 68260, 136519, 204776, 273031?\n\"Answer: -v**2 + 68262*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9597106 and 4313?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39839977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52639, 210559, 473761, 842245, 1316011, 1895059, 2579389?\nAnswer: 3369001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 15. Let s be m(8). Let p be s\/(-2)*0 - 354. Is (-2)\/((16\/p)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -13\/9  (c) 1  (d) -4  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(7\/3))\/s**(-4\/13))\/(s**1)**35 assuming s is positive.\nAnswer: s**(-1405\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (79 + -80)*(24\/(-248))\/(-3).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09 - 608584.596.\nAnswer: -608584.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 3*w - 20, -38 = 4*y + w - 6*w for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*i - 8*i + 19*i + (i - i - i)*(2 + 0 + 3) - 95 + 95 - 27*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = s + 15. What is the closest to -0.1 in s, 6, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 42 = -33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*a**2*u**2 + 3*a**2*u + 127*a**2 + u**4 wrt u?\nAnswer: 8*a**2*u + 3*a**2 + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5680 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 5*v + 74296, -5*t - 14*t - 5*v + 470728 = 0. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -92 + 92.29. Let f = 79.29 - o. Let i = -62 + f. Which is greater: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 0)*(-4*c + 2*c + 4*c) + 2*c + 3*c - 3*c + (2 + 0 + 0)*(2 - 4*c - 2) + 1 + c - 1.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1bc7b (base 14) to base 5.\nAnswer: -4233221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 132 + 1444441?\nAnswer: 1445013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 64 in -2\/5, -2, -3\/83, 0.5, 2\/919?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b**4 + 0*b**2 + b**2 - 2*b - 6*b**2 + 1 - 2*b**3 - 4*b**2 to the form o*b**3 + k + w*b + m*b**2 + h*b**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 152, 13564, -0.2, -0.4, 2 in descending order.\nAnswer: 13564, 152, 2, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.13, -0.2986, -1\/6 in decreasing order.\nAnswer: 0.13, -1\/6, -0.2986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7577926 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 3*p + 360. Let c = p + -66. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -4 - 14 - -6 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*g**2*p*q*u + 8*g**2*p*q - 2*g**2*q*u - 2*g**2 - g*p*q + 2*g*p*u + 10*g*q*u - 8*g*u - q*u wrt g?\nAnswer: -12*p*q*u + 16*p*q - 4*q*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 1688572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 1634553553.84?\nAnswer: -1634553549.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 6*p**2 + 2*p + 6. Let g be z(-4). Let t = 152 - g. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 2:59 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 149237 + 45a?\nAnswer: 149695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 3*l - 28, 4*k - 3*l - 70 = -k. Suppose 2*x = -0*x + k. What is the remainder when x is divided by (-3)\/(-3)*16\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34554 (base 7) in base 12?\nAnswer: 5163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009580657 to six decimal places.\nAnswer: 0.000958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 20 = -0*w. Suppose 2*t - 4*p = -w, -3*t = p + 39 - 9. Put -3, t, -5 in descending order.\nAnswer: -3, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 12:21 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of -215*u**3\/3 - 753*u - 721. Find the first derivative of x(b) wrt b.\nAnswer: -430*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*b - 10*b - 65*b**3 + 2*b**3 as d*b**2 + s*b**3 + y*b + z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 80  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 744885*q - 744880*q - 3*n - 3, 0 = 5*n + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + -2*sqrt(200)*4)**2*-1.\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(6)*-2*2)\/(sqrt(288) - (sqrt(288) - sqrt(288)*3)*1)*1.\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -51*x**2 - 5. Let b(c) = 15*c - c**2 + 17*c - 32*c. What is b(t(r))?\nAnswer: -2601*r**4 - 510*r**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -15. Suppose 3*u - 3*g - 54 = 0, 2*g = 4*u - 76 + v. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 237*b + 16339. What is the tens digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t + 35 + 45 = 30*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 5*r**2 + 8*r + 4. Let y be -4*(2\/(-4) + -1). What is the tens digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-23)\/(-184))\/(133\/152)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 29, 94, 215, 410, 697, 1094?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1207440 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g - 2*g**4 + 2*g + (3*g**3 + 0*g + 0*g)*(-4*g - g + 4*g) + (-2*g**3 - 3*g + 3*g)*(-g + 3*g + 0*g) - g**3 + g**3 + 2*g**4 - 2 + 2 + g**4.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 80.09788 years?\nAnswer: 0.08009788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1133 + 1099. Which is the closest to 2\/9?  (a) w  (b) 1\/6  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 1:29 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7406\/17 or -435?\nAnswer: -7406\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (424\/265)\/(2\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 78808, 78812, 78816, 78820, 78824?\n\"Answer: 4*o + 78804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11632 divided by 8?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 11:00 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3780 + 3753.99. Let o = 0.152 - 27.552. Let v = o - d. What is v rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-36)\/(-10))\/3)\/((-21)\/15)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 593*h**4 + 39*h**5 - 593*h**4 + h**5 + 4*h**2 - 4*h**2 + (0*h + 0*h - 2*h**4)*(-h + h + h) + h**5 - h**5 - 2*h**5)*(3 + 2 - 4).\nAnswer: 36*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/18 and -1\/328596.\nAnswer: 985788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 2*h**2 - 7*h. Let g be s(0). Let o be (1 - 3)*5\/(-2). Solve g = 3*b + o + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -10  (c) -7  (d) 0.3  (e) -1125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 25 + 2 + 8 + -14 + -5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4365633\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*l - 8. Let t be (6\/l)\/(16\/8). Suppose -2*j = -g + t, 4*j - 4 = -0*j. Solve -4*w + g*w + 3 = -i, w + 4*i - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**5\/8 + 15*s**4\/4 - 69*s**3\/8 + 9*s**2\/2 = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 36\/11, 2\/39, 0.9, -3 in ascending order.\nAnswer: -5, -3, 2\/39, 0.9, 36\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94, 57, -12, -119, -270?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**3 - 2*d - 13*d**2 - 16*d**2 - 19*d**2 + 49*d**2 - 4 + 0*d**3 to z + b*d**2 + h*d**3 + a*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.601 + 9.7. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*g**2*l**2 - 3*g**2*l - 2*g*l + 88*g + 16*l**3 - l**2 wrt l.\nAnswer: -14*g**2 + 96*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -850194.8934 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) 5  (c) -80\/29  (d) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 4*f + 0*f)*(167*f - 365 + 365) + f**2 + 2*f**2 - 2*f**2 + (f - f + 2*f)*(-f + f - 2*f) + 0*f**2 + 2*f**2 - f**2.\nAnswer: -336*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -43*q**3\/3 - 11*q**2\/2 - 359. What is the second derivative of m(f) wrt f?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 10. Suppose m*i + 736 = 9*i. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 6*s**2 - 43*s - 19. Let k(h) = 2*h**2 + 6*h. Let b(z) = -2*k(z) + n(z). Calculate b(25).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 1\/3, 58\/73, 52 in descending order.\nAnswer: 52, 58\/73, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 191 and (-3)\/12 + (-6 - (-145)\/20)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*g**3 - 9*g**3 + 2*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 8*i + 3*i + 30, -u + 2*i - 14 = 0. Let y = u - -32. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (5 - (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19051 (base 14) in base 2?\nAnswer: 1111011011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -7*a**3 - 2*a**2 + 2*a - 3. Let p(w) = w**2 - 2. Let f(j) = -m(j) + p(j). Let c(r) = 2*r**2 - 4*r + 2. Let h be c(2). What is the tens digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24724557 is divided by 420?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 21*z = -6*z - 70. Solve -z*s - w + 9 = 3, 0 = s - 2*w - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 158\/5 - (-4)\/10. Suppose 4*f = 6*f - d. Let u = 33 - f. What is the remainder when 49 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 80*j - 8*j + 92*j - 28*j. Let p(f) = -f - 40. Let h(d) = d + 50. Let i(y) = 4*h(y) + 5*p(y). What is i(a(c))?\nAnswer: -136*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -512, -1731, -4104, -8015?\nAnswer: -13848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(-8 + 239855\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51805 + 1364*n**2 + 25902 + 25903.\nAnswer: 1364*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of 1\/60*q**6 - 13*q - 3\/2*q**3 - 2*q**2 + 0*q**5 - 11\/24*q**4 + 0. Determine c so that m(c) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42652 and 53.\nAnswer: 2260556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -13*w + 18*w, -2*q + 5*w - 23 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1960474.\nAnswer: 2, 17, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*l + 274 + 86. Let h(m) = -15*m**2 - 23*m**2 + l*m**2. Let d(w) = -31*w**2. Calculate h(d(z)).\nAnswer: 1922*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-180)\/(-162)*((-48)\/(-8) + (-21)\/4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4197 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*i = -32*i - 4. Let g be i + -1 + (-48)\/16. Let m be (-6)\/15 + 8\/45. What is the fourth biggest value in g, m, 2\/5, 1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 8*m. Let f be a(-6). Suppose -15*i + 111*i = -90240. Let l be (i\/50)\/((-3)\/30*-4). Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.1409 + -0.1409. What is the third smallest value in 117, u, 1?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1361, 2726, 4093, 5462, 6833, 8206, 9581?\nAnswer: 10958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, 1, 2\/63 in decreasing order.\nAnswer: 1, 2\/63, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 4*b**5 + 68416*b**4 - 1026912*b**3 + 3902840*b**2 - 4998628*b + 2054280 = 0.\nAnswer: -17119, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/12 + 3\/(-6). Let m = -118 - -113. What is the biggest value in 1\/4, m, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 200033507*k + 333872343.\nAnswer: 200033507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {z: 1, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-7)*21\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3116, -5973, -8582, -10949, -13080, -14981, -16658?\n\"Answer: -u**3 + 130*u**2 - 3240*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a*j**2 - 38*a*j - 4*a + 3948*j**2 wrt a.\nAnswer: 2*j**2 - 38*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) - sqrt(125)*2*4 - (sqrt(125)*2 + -3)) + (-2*-1*sqrt(125) - (sqrt(125) + 1 + -3)))*-4)**2.\nAnswer: -6400*sqrt(5) + 128400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 14*x + 5. Let o be j(5). Let v be (-2)\/(-7) + o\/7. Calculate the greatest common divisor of v and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (99\/(-21) - -3)*(-231)\/6. Let o be (16\/(-28))\/(8\/(-588)). Calculate the greatest common factor of v and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i - i + 14*i - 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -29.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -357 + 178. Let m = 174 + n. Let h = 35 - 32. What is the closest to -5 in m, 4, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 766, 3051, 6856, 12181, 19026?\nAnswer: 27391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*q = 51*q. Let z(r) be the third derivative of 0*r**4 + 1\/300*r**6 + 0*r**3 - 1\/1680*r**8 + 0*r - 13*r**2 + 1\/1050*r**7 + 0 + q*r**5. Factor z(s).\nAnswer: -s**3*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 53*l**2 + 63*l**2 - 1269*l + 1793*l to c*l + z + x*l**2 and give c.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6012, 6011, 6010, 6009, 6008, 6007?\nAnswer: 6006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 46*u**2 + 5*u + 10. Let k be s(5). Suppose -k = -7*j + 2*j. Let z(l) = -237*l + j*l - 7*l**2 - l**3 + 2. Give z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o**3 + 3*o**2 - 7*o - 4. Let k(l) = 3*l**3 + 2*l**2 - 6*l - 3. What is -3*f(b) + 4*k(b)?\nAnswer: 3*b**3 - b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 476\nAnswer: -1\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 2:59 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + -1. Let t = -0.19 + 2.19. Let d = -122 - -127. What is the third biggest value in d, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -102340 + 144496. List the prime factors of y.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -18. Suppose -4*f + 9 = -m. Solve 3*j - p = -5, f*j + 10 = -0*j + 3*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.246882259 to 3 decimal places.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3575578 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {h: 5, p: 4, f: 4, l: 1, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1254?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 456 = -3*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -823 - -1438. List the prime factors of j.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 2*u + 6 = 2*d, -10 = -5*d. Let h be (4*u\/(-1))\/(-2). Suppose h*x = x. Solve 12 = -4*k - x*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + t + 21, 0 = 4*b - 0*b - t - 47. Let i = b - 10. Suppose -5*g + 120 = -5*d, 2*d = d - i. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.203, 0.5, 12, 2, 142 in increasing order.\nAnswer: 0.203, 0.5, 2, 12, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.28?  (a) -3  (b) -0.2  (c) -1  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, i: 2, w: 1, f: 3, m: 4}. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70854.17 - 0.30023.\nAnswer: 70853.86977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*a - 189*a = -8153288. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*y**5 - 331*y**6 - 11*y**2 + 328*y**6 - y**3 + y**3 + 14 - 5 wrt y.\nAnswer: -360*y**3 - 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(88) + (sqrt(88) - 2*sqrt(88)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -117  (b) 1  (c) -40  (d) 3  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 162 or 156?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 460051020?\nAnswer: 2, 3, 5, 11, 13, 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwt when three letters picked without replacement from {m: 2, w: 5, t: 7}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 76*n - 508. Calculate w(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 225.434 and 2.12.\nAnswer: 477.92008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - 7. Let p = d + 9. Determine i, given that 4\/3*i + 2\/3 + 2\/3*i**p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 1\/36*r**4 + 0 + 2\/9*r**3 + 2\/3*r**2 + r. Factor g(a).\nAnswer: (a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/9*174\/58\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 49 = n, -n - 61 = -5*h + 7. Are h and 136\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 13*a - 30. Let s be w(15). Sort -1, -5, s, 21 in ascending order.\nAnswer: -5, -1, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/10, 2\/23, 537, -2.04, -13?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.212*-0.2.\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8925 - 8928. What is the nearest to 1 in u, 0.02, 0.321?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-6) + (-140)\/(-30). Let b = 6 - m. What is the units digit of (175\/28)\/(b\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 663110 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 4*t - 11, -w - t - t = -5. Solve 2*l = -w*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -35055, -70106, -105159, -140214, -175271?\n\"Answer: -p**2 - 35048*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 12.67?\nAnswer: -38.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57*j*k*u**2 - 15*j*k*u - 130*j*u**2 - 47*j + 10*k*u + k + 2*u**2 wrt u.\nAnswer: -114*j*k - 260*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -120032400 rounded to the nearest one hundred thousand?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-42 - -44) + (-1 + 2 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 - 72. Put 0, 6, 4, s in descending order.\nAnswer: 6, s, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5250887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m = 5*m. Solve m*d + 3*w - 4 = d, -5*d + 5*w = 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4163909 is divided by 1934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 397*v**2 - v - 2. Let k be d(2). Let m = -557 + 574. Suppose -5*t = -m*t + k. What is t rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 4:10 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*l**3 - 322467 + 4*l**3 + 322467.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 0.153.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 32092 or 31774?\nAnswer: 32092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 0.1  (c) 0.4  (d) -63968\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/2343958 and 41\/18.\nAnswer: 21095622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 - b**2 + 2*b**2)*(-5 + 5 - 2*b**2) + 13*b**4 + b**2 + 2*b**3 - 30*b**4 + 14*b**4.\nAnswer: -5*b**4 + 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1048, -2013, -2878, -3643, -4308, -4873?\n\"Answer: 50*p**2 - 1115*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**3 - m**2 - 2*m + 6. Let s be v(0). List the prime factors of (-12623)\/(-39) + 2\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4930 and 1421?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -k + 4*y + 1, -3*k + 76 = -4*y. What is the smallest common multiple of 24\/k*(-25)\/(-10) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 55 + 28 = -3*b, -5*b - 2*k + 38 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 744454.6mm?\nAnswer: 74445.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*6\/336*(-1 - (3 - 2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, k: 7}. What is prob of sequence nkk?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q**2 + 14*q - 5. Let r be 2\/18*6*(-3)\/48*-24. Let g(s) = s**2 + s + 1. Determine r*n(z) + 5*g(z).\nAnswer: 2*z**2 + 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -647, -2491, -5521, -9731, -15115?\n\"Answer: d**3 - 599*d**2 - 54*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 6. Let a = -567\/80 - -59\/16. Let f = a - -56\/15. Sort -5, k, f in ascending order.\nAnswer: -5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -2*u + 42. Suppose 0 = 3*n - u - 10. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j + 26. Let h be t(-11). Solve -11 = -i - h*w, -2*i + 6*i - w + 24 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5998 + 6297. Calculate the remainder when i is divided by 89.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85847 - 190155 = 4678*z for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/8 - (2073\/(-136) - -15)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 + 6*c**2 + 39.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -16*b + 197. Let v be w(13). Let g(i) = -i**2 - 10*i - 21. Let s(p) = -p + 1. Let m(r) = g(r) + 3*s(r). Let h be m(v). Solve 4 = -2*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -123, -182, -241, -300, -359?\n\"Answer: -59*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 6*y**3 - 3*y**2 - 13*y + 14. Let t(f) = -7*f**3 + 2*f**2 + 14*f - 13. Let k(n) = -6*s(n) - 5*t(n). Let i be (-9)\/3*(-16)\/6. Does 5 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 2. Let n(d) = -d**2 + d - 1. Let x(g) = -4*m(g) + n(g). Suppose -4*u = 4*a - 44, 4*u + 3*a - 48 = -2*a. Suppose -3*q + u = -11. Give x(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(4*(-1 + sqrt(612) + (sqrt(612)*-2 - sqrt(612)) + sqrt(612) + -5))**2.\nAnswer: -31101 - 3456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from {c: 6, t: 8, b: 3}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0070583045 - 25.0070634045. Let c = 25 + m. Round c to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 14*i**3 - 16*i**2 - 4*i. Let n(c) = 28*c**3 - 35*c**2 - 10*c. Give 5*d(f) - 2*n(f).\nAnswer: 14*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -5*p + 1240, 0*p = 2*p - 2*o - 508. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 671456565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 7*g - 4*g - 9*o, -2*o - 17 = -6*g - 43 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*z - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1812118 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*j - 3 + 4 - j)*(-616*j**3 + 2444*j**3 + 3661*j**3) in the form g*j**2 + d*j**3 + f*j**4 + u + r*j and give f.\nAnswer: 10978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 + 0*g**2 - 4*g**2)*(-g + 5 - 5) + 2490*g**2 - 2490*g**2 - 207*g**3.\nAnswer: -205*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -667*c + 10226. Determine w(15).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25447*p**4 - 2*p**3 - 4*p - 2897 wrt p?\nAnswer: -305364*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -59905 divided by -1?\nAnswer: 59905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -293\/52 - 107\/26. What is the common denominator of 9\/316 and y?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 4:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.46 - -1.460071. Round i to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 296\/14 - (-1)\/(-7). Let c = -25 + i. Let t(f) = -f**3 - 3*f**2 + 4*f + 4. Let p be t(c). Solve -3*q + 5 = k, -2*q - 2 = -p*q - 2*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, d: 1, o: 1}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -27804?\nAnswer: -27805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-205)\/(-82))\/(1\/2). Let c(a) be the third derivative of -121\/60*a**x + 0*a + 5*a**2 + 0 - 2\/3*a**3 - 11\/6*a**4. Factor c(k).\nAnswer: -(11*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 4*u + 6, u + 1 = -x - 0*u. Let h = 157 - 149. What is the remainder when 2\/x*(-41 - -10) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-429)\/1859*2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4 - 1. Let f be (o - (10 - 5)) + 1 + 10. Solve 0 = 3*h - b - 4*b + f, h + 2*b + 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 87*t - 98*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7580.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4808 - -4816. Which is the third biggest value?  (a) -4  (b) q  (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3736 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 923 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 393, 1580, 3557, 6324?\n\"Answer: 395*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282805 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h - 4*h + 7*h)*(-1 - 3 + 2) - h + 4 - 4 + (-2*h - h + 2*h)*(2 + 5 + 3)*(-6 + 4 + 0) in the form p + m*h and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41607473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-10 - -13) + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - -5) + 22 - -20 - (8 + -28).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -745862.9, 5 in increasing order.\nAnswer: -745862.9, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(112))**2 + sqrt(7) + (1 + sqrt(7) + sqrt(7))*-4 + -2*(-2 + sqrt(1008) + -3 - sqrt(1008))**2.\nAnswer: -7*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 7, -11, -59, -149, -293?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 54063 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/4 - 1)*-4. Suppose n = -3*w, 0 = 4*h - 5*h - 4*w - 3. Let f = -20 + 22. Solve -a + 5*z - h = 0, f*a + z = 3*z - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**5\/60 + 163*i**4\/24 - 27*i**3 + 163*i**2 - i. Determine g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 201*h**6 + 2289*h**2 - 2*h.\nAnswer: 24120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = x - 20, 4*m + 24 = -m + x. Let d be (60\/(-25))\/(m\/10). Is d < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -24.09. Let x = v + 0.34. Let t = x + 0.05. Which is the closest to -1?  (a) 5  (b) t  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 7:18 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 21*g**2 - 70*g - 291. Determine c(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*o**3 + 12*o**2 - 17 - 4*o + 29 - 9*o**2 - 12.\nAnswer: -82*o**3 + 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0188 in -0.1979, 0.2, -2?\nAnswer: -0.1979","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 22*j**2 + 115*j - 26. What is f(-14)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 502 + 356. Let b(v) = v**3 + 3*v**2 - 2*v + 4. Let p be b(-4). What is the common denominator of (-15)\/f - p\/26 and -111\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.4025049 rounded to one decimal place?\nAnswer: -39.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x - 3*u - 26 = -17*x, -x + 5*u + 14 = 0. Let v = 75 - 22. What is the lowest common multiple of x and v?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3912 - ((-12)\/(-2) + -2). Suppose 14*y = 10*y + i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30.98073 + -0.00927. Let o = h - -31. What is the biggest value in -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*h + 2*h - 7*h + (-2*h - 2*h + 2*h)*(0 + 0 + 2) + 55*h + 52*h - 301*h to the form p*h + a and give p.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of y**3\/3 + 13*y**2\/2 + 18*y - 4. Calculate the lowest common multiple of 62\/4 + 2\/4 and u(-13).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 917669.\nAnswer: 917669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 5:10 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from dxdd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 52*x**2 + 24*x**2 + 41*x**2 - 1.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 2. Let s(p) = 1. Suppose -i - k + 3 - 11 = 0, 2*i + k + 11 = 0. Determine i*s(n) + 2*l(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(2*q + 2*q - 5*q) - 1 + 1 - 4*q + (-2*q + 0*q + 4*q)*(-3 + 4 + 0) - 1582*q + 567*q + 592*q.\nAnswer: -426*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 11, g: 2}. Give prob of picking 3 u.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7.9148384 * -1\nAnswer: -7.9148384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/((-4130)\/944*(-12)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11566*s + 232740 = -7687*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 + 14*s**2 + 13*s. Calculate the least common multiple of u(7) and 1890.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10295 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 7*t = -9551, -3*t + 29 = 38. List the prime factors of a.\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -4\/29 < -274\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 656249*b - 656248*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.8 + 1. Let q = -23.9 + 23. Let x = -1.3 - q. Which is the third smallest value?  (a) z  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 30 = -30. What is the least common multiple of t and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -1. Let o = -0.08 - -9.08. Let g = -2 + o. Which is the third smallest value?  (a) z  (b) 3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3 + 0*k**2 - 4*k**2 + 6*k**2 + k**2 + 8*k. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 0 - (-1 + 21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 11247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 6:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**8\/6720 + x**7\/1260 + x**6\/240 - x**5\/60 + 2*x**4 + 16*x. Let j(m) be the third derivative of v(m). Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.12 - -0.06. Let w = j - -0.01. Let a = -0.15 - w. Is -5 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2284, -2229, -2136, -2005, -1836, -1629?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 8. Let o(y) = -y + 4. Let v be o(2). Suppose -v*w = -0*w. Determine k(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 93, 0.073, 0.4?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 9.2686 and -0.5.\nAnswer: 8.7686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1552\/(-24)*(45\/1)\/(2\/(-19))?\nAnswer: 3, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/6, -1.2, 1\/5, 95, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {p: 5, a: 2, v: 8, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 5*u. Let d(m) be the second derivative of -m**4\/6 + m**3 + 2*m + 148. Suppose -l - l = 6. Let i = -8 - l. Give i*d(k) - 6*f(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9\/6)\/((-1)\/(-10)). Suppose 3*k = -2*k. Suppose -3*j - 4*t + 39 = 0, j + 4*t - 2*t - b = k. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 133.1 + -7.1. Let z = h + -63. Let w = 60 - z. Sort w, 2, 1.5.\nAnswer: w, 1.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 228.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b + 267*b**3 - 273*b**3 + 0*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*n - 7*n - 8. Solve 0 = 3*c - n + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5 - 11. Let g(j) be the second derivative of -j**4\/12 + 4*j**3\/3 + 5*j**2 + 2*j. List the prime factors of g(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -6.06. Let a = l + -1.66. Let m = -1.3 - a. What is the third biggest value in -5, -0.5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v - 110 = -2*v. Suppose 4*z - i + v = 31, -z - 6 = -4*i. Suppose m + 75 = z*m. Solve m + 5 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14683 + -14614. Which is bigger: v or 0.96?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**2 + 480*t - 11520 = 0 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7130 - 5811. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 32 - 5 = 0. Suppose 3*f - 6 = -0, -4*v = -4*f - 252. Factor -4*u**2 - 24*u + y - 77*u**3 + v*u**3 - 41*u**2.\nAnswer: -3*(u + 1)*(u + 3)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3310*v**3 - 21710*v**3 - 3*v + 3*v + 4671*v**3.\nAnswer: -20349*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + 3*m**5\/20 - m**4\/24 + 5*m**3\/6 + 30*m**2. Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2234749834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/2)\/(-1))\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a - 10. Let d be g(6). Suppose -d*v = -3*t + 2*t - 29, -2*t = -6. What is the remainder when 46 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -4. Solve a + o*f = -18, 28 = -4*a - 5*f - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from {n: 2, s: 3, b: 15}?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 - 884*u - 5992.\nAnswer: -4*(u + 7)*(u + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16\/9 + 2\/3*k**2 - 2\/9*k**3 + 4\/3*k = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/358750 and -101\/51250.\nAnswer: 358750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/4))**(-3\/43)*g**19*g*(g**(-1\/22)*g*g)\/g assuming g is positive.\nAnswer: g**(39679\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5909025.2 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/2 - 0)\/((-21)\/(-63)). Suppose 9*i = j*i. Suppose i = 8*x + 4*x - 48. What is the closest to 0.1 in -1, 3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45*-2431.\nAnswer: -109395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25609*p**3 - 197*p**2 + 60*p**2 + 64*p**2 + 73*p**2.\nAnswer: 25609*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -201.3907173 rounded to the nearest integer?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7298*x**3 - 239*x**2 - x + 6 wrt x.\nAnswer: 43788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(200) + sqrt(200) + (5*(sqrt(200) + 1*sqrt(200))**2 - sqrt(200)) + sqrt(200).\nAnswer: 20*sqrt(2) + 4005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -3*o**3 + 10596*o**2 + 180789*o + 745290 = 0?\nAnswer: -10, -7, 3549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 530070 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v = -19*v + 136. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(14\/(-6)) - 737\/77\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 2*o - 45. What is l(-6)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3496 and 304.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*p + 5 - 5 in the form t + q*p and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 62 + 41 + 131*u**2.\nAnswer: 131*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 4) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -192 in descending order.\nAnswer: 2, 0, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10*(-1)\/(10\/(-5)). Suppose 23 = s*b - 32. Factor -4*x**2 + 8*x**2 - 5 - b + 0*x**2.\nAnswer: 4*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 9*k - 7. Let a(w) be the first derivative of w**2\/2 + 83. What is a(x(r))?\nAnswer: 9*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 6*k**2 - 6*k + 9. Let u be h(-7). Suppose -u*i + 170 = 3*i. Suppose 4*r = -0*f - 4*f + 200, -i = -r + 3*f. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 1:33 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/256 and 71\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 - 26. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148684991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xi when two letters picked without replacement from ixxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -355 - -358. Suppose a*f + 3*o + o = 10, -4*f + 5*o = -3. Solve 0 = s - z + 1 - 0, -4*z - 2 = f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 2*w + 6. Let a be c(-5). Suppose 33*v = 28*v + 430. Suppose -5*s = 3*b - 47, v = 4*b - s + 8. Is a at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21740000 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 8*f**2 - 19*f - 8. Let t be z(-13). Let u = 3384 - t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2179421, -3, 0, -15 in decreasing order.\nAnswer: 0, -3, -15, -2179421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -1 - (-1515 + 1526)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 11764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**4\/4 - 3*o**3 + 105*o**2\/4 + 225*o\/2 = 0.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 11 = -h + 2*n, 6 = -3*n. Let t(d) = -d**3 - 6*d**2 + 6*d - 5. Let p be t(-7). Solve 0 = 4*b - j - h, 0*j + 10 = 4*b - p*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*m + 688*m**2 - 4*m - 726*m**2 - 2 + 2 + m**2 + (1 + 2 - 2)*(2*m**2 - 2*m**2 + 2*m**2) - 4*m**2 + m**2 + 2*m**2 + 2*m**2 + 0*m**2 + 2*m**2.\nAnswer: -32*m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) 5  (c) 6\/127  (d) 74.9  (e) 3  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by (-4)\/22 - (-136)\/22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*w = 467203 - 464655 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2678755 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 2:15 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*s + 150*s + 26 = -5*d, 3*s - d - 13 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59 + -42 + 25 + -35 + 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 421 and 24329169.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.01116 centuries to millennia.\nAnswer: 3.101116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -5. Suppose -2*r + r + 48 = 2*q, 0 = -q + n*r + 2. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**2\/8 + 41*i + 7015\/8 = 0. What is i?\nAnswer: -305, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5619846573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 26149192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007732 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 551 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217 + 61 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -25*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 85*p - 285. Determine h(8).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -3*s**4\/28 + 15*s**3\/7 - 57*s**2\/7 + 72*s\/7 - 292. Factor p(y).\nAnswer: -3*(y - 12)*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h - 5*h + h)*(17*h + 98*h**2 - 17*h) in the form l + c*h + k*h**3 + y*h**2 and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 2*k**2 + 3*k - 2. Let t be f(4). Let s be 1\/(-3) + t\/(-3). Let v = 42 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 + 17*i - 13. Let c be s(-7). Solve c*f**4 + 2*f**5 - 15*f - 30*f**3 + 30*f**2 + 3 + 7*f**5 - 12*f**5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155598 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s + 36. Let l be b(17). Let d(y) = -7*y**2 - 369*y + 369*y - 8*y**l. Let m(q) = -3*q**2. Determine m(d(g)).\nAnswer: -675*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 34\/9 + (-1526)\/(-63). Let q = -23 + 39. Calculate the greatest common divisor of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*g**3 - 4*g**2 + 0*g**2 - 4*g**3 + 0*g**3 to the form h + y*g**3 + s*g + m*g**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -816 + 814.98. Let u = 107.02 + g. Is u less than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81799540?\nAnswer: 2, 5, 1031, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 164 - 330. Suppose 2*k + 2*s - 624 = 0, 5*k - 3*k = s + 621. Let x = p + k. What are the prime factors of x?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1323391 + 200886\nAnswer: 1524277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 219 a factor of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*o + 3*y, 2*o - 2*y - 12 + 0 = 0. Let t(h) = -h**2 + 5*h - 1. Let p be t(o). Solve -i = -2*d + 1, -p*i + 6 = -2*d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*p - 91*p + 43*p + (-17 - 10*p + 17)*(-8 + 2 + 0) as m*p + u and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.04  (b) 0.2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9 - (-435)\/(-75))*(5 - 0). Solve -n - 4 = -3*n + 4*c, 4*n = -4*c - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 + 30. Solve -x - 1 = -k*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3103.1 - -3105.1. Which is the fourth smallest value?  (a) 5  (b) -0.2  (c) v  (d) -4  (e) 5\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c0 (base 14) in base 16?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 662 + -312. Let g be (2 - 1) + 1064\/3. Let a = s - g. Find the common denominator of a and -55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 195345 and 312552?\nAnswer: 1562760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 21 = -5*y, 0 = -3*y + 2*j + 2*j + 31. Suppose 2*t + 20 = 3*z, 3*z - 7*z = 2*t - 8. Let n(b) = b - 7 + z + 2*b - b. Calculate n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 5*w**3 + 2*w**2 - 6*w + 4. Let u be c(1). Put u, -35, 1, -4 in increasing order.\nAnswer: -35, -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/28 and 83\/18332559.\nAnswer: 73330236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/8, -9, -2\/15 in increasing order.\nAnswer: -9, -3\/8, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-2 - 2) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1672163724 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w - 68*w**2 - 54228*w**3 + 70*w**2 + 52985*w**3 in the form s*w + t + x*w**3 + b*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 3*q + 188. Suppose -11 + q = 3*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.81271 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i + 30*i**2 + i - 3*i**2 to l + v*i + f*i**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 + 0 + 0 + (0*s + s - 4*s)*(4*s - 2*s - 4*s))*(-2*s**2 + 3*s - 3*s).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 - 1 + 4*x**2 - 2*x**2. Let c be n(1). Let b(g) = -2*g**2 - 2*g**c + 0*g**2. Let i(l) = 2*l. Calculate i(b(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xvvvxvvvxvxvxxvx?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -389 + 126. Let s = -241 - f. Calculate the highest common factor of s and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + (-4*-6*sqrt(117)*1)\/(sqrt(27)\/(sqrt(300)*-2))))**2*6.\nAnswer: 449280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -4*q**3 + 2*q + 9. Let r(d) be the third derivative of d**6\/60 - d**4\/24 - 5*d**3\/6 + 7*d**2 + 19*d. Give 7*r(h) + 4*y(h).\nAnswer: -2*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3*k = -348, -3*n + 2*k + 158 = -185. Suppose 46140*a + 1725 = 46165*a. Calculate the greatest common factor of n and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 16, 0.2, -2, 91\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/7 at most as big as 0.379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 130037357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1157, -2305, -3455, -4607, -5761, -6917?\nAnswer: -8075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 7*d = -3*x + 11, -d + 10 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 18 + (1 - 10) + -7 + 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 1105, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i. Let o(g) = -15*g. Let s(j) = -16*j. Let h(v) = 2*o(v) - 3*s(v). Determine d(h(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 18. Let w be d(14). Is w != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17763 and 9?\nAnswer: 53289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, p: 3, y: 6, d: 6, c: 1}. Give prob of picking 1 d and 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -540*-0.4.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + v**2 + 3*v - 2. Calculate n(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*l - 0*l + 12, -4*l = 12. Let x(t) = -11*t**3 - 3*t**2 - 3*t + 3. What is the units digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - c + 6. What is the tens digit of h(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/27)*z**(1\/7)*z)\/((z\/z**(-13))\/z**(-28)) assuming z is positive.\nAnswer: z**(-7708\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 843622?\nAnswer: 2, 13, 71, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 6 + 14, -5*j + m = 1. Put j, 1\/5, 0.6, -18 in increasing order.\nAnswer: -18, j, 1\/5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2140 and -0.107?\nAnswer: -228.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16844 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 8744 = 126744. Round h to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 309 a factor of 440016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 592018199?\nAnswer: 271, 421, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -4.23  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-7))**(-15) assuming f is positive.\nAnswer: f**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6*f**3 + 2*f**2 - f. Let y be g(1). Suppose 4*k = -2*o + 14, 4*k - o - 4*o = 35. Let x = y - k. Put x, 5, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 425*w**2 - 425*w**2 - 21*w**4 + (6*w**3 - 3*w**3 - 4*w**3)*(188 - 188 - 157*w).\nAnswer: 136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-40))\/((-2)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89.5 + -0.1705475.\nAnswer: 89.3294525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/17 + -44\/85. What is the fourth biggest value in w, -2, 0, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -61?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -4. Is 4\/12 + (-258)\/z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 + 5 - 12)*(4*z + 0*z - 3*z)*(32*z**3 + 35*z**3 - 71*z**3) to p*z**3 + o*z**4 + s*z + u + b*z**2 and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7342 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*p - 6 + 9 + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvyvyvyvyv. Give prob of sequence vv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6593a (base 12) in base 13?\nAnswer: -49234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.47 in 1.14, -1.2, -5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 1\/2*l**2 + 0*l - 2 + 1\/3*l**3. Find the second derivative of y(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*(s*s**(-2\/3)*s)\/s*s)\/s)**(2\/77)\/(s*s**(2\/3)*s)**15 assuming s is positive.\nAnswer: s**(-1318\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*-35*39\/(-364)*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, n: 2}. Give prob of sequence ngj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21910688381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*r + 268759 - 268935 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -21. Suppose -105 = -j*t + 3*u + 167, 0 = 5*t - u - 329. Suppose -w + 7*v + t = 3*v, 0 = w + v - 40. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142, 573, 1294, 2305, 3606, 5197, 7078?\nAnswer: 9249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*q - 35 = 0, l - 5*q + 3 = 4*l. Let y = l - -23. Calculate the remainder when 75 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.42127ml in litres?\nAnswer: 0.01442127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -180  (b) 1\/2  (c) -2\/3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - 109*r - 1714. Let y be h(-19). Let a(j) = -j**3 - 6*j**2 - 7*j - 4. Calculate a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.848044 and -1.37.\nAnswer: -3.90182028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 281*i - 634. Is u(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**4\/4 + 87*b**3\/4 - 209*b**2\/2 + 165*b - 82 = 0. Calculate b.\nAnswer: 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 185, 0.5, 1, 0, 3 in increasing order.\nAnswer: 0, 0.5, 1, 3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1909364 and -155272.\nAnswer: 1754092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14832 and 1008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 61, 51, 25, -23, -99, -209, -359?\n\"Answer: -h**3 - 2*h**2 + 3*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 4*l + 2404, 2*q + 2*q + 3*l - 3172 = 0. Let i = 432 - q. Let f = 3653\/10 + i. What is the common denominator of -15\/2 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 994716 divided by -3?\nAnswer: -331572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a - 12 = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 22. Solve r + o = 6*r + 3*d, 23 = 4*r - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -4. What is the remainder when x is divided by (26\/(-4))\/((-3)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -j**3 + 76*j**2 - 1716*j + 12096 = 0.\nAnswer: 16, 18, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -f - 4*p - 3, -f + 3*p - 16 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -22\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 152a + 5a870?\nAnswer: 6129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7670)\/150 - (-3 + 86\/30). Let p = v + 54. Solve 2*q + 3*q + 7 = i, 0 = 2*q - p*i + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44229075673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/12 - (-40)\/6. Let y = g - 2. Suppose -y = -h - 2. Solve 0*r = -h*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {z: 3, w: 1, o: 2, s: 3, y: 6, n: 5}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2 + a - 32. Let h(w) = 5*w**2 - w - 65. Give 4*h(o) - 9*l(o).\nAnswer: 2*o**2 - 13*o + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256406960?\nAnswer: 2, 5, 3205087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + 0*b**2 + 3*b**2)*(-7*b**2 - 3*b**2 + 0*b**2) + (-3*b**3 - 2*b**3 + 6*b**3)*(0 - 2*b + 0).\nAnswer: -22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -175390 - -175390.00116477. Round b to 5 decimal places.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(6171)*2)\/(-6*sqrt(27)*-2).\nAnswer: 11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -16*w - 1. Let h(r) be the third derivative of -47*r**4\/24 - r**3\/2 + 12*r**2 - 8. Calculate -2*h(g) + 7*z(g).\nAnswer: -18*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + 3*q + 21, 0*j = 4*j - 3*q + 49 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*z**3 + 5619 + 203782*z**2 - 101889*z**2 - 101895*z**2 - 103*z wrt z.\nAnswer: 12*z**2 - 4*z - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) 0.4  (b) -4  (c) -0.02  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146099*x - 145935*x + 235 + 421 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 720 divide 4937596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 + -2 + (-4 - -3). Suppose -4*t + 40 + 62 = -2*u, -5*t = 2*u + 129. Let v be (-20)\/(-6) + 19\/u. Solve -5*z = -4*g - 5, -v*z + 0 + q = -4*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -134 + 116. Let c be (-4)\/t + (-1 - 200\/(-72)). Solve -6 = -c*b - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1208.6 and -4.1?\nAnswer: -4955.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let t(c) = 23*c. Let u(p) = 47*p. Suppose -2*h = 3*s + 22, -h + 4*s - 24 = 3*h. Let b = 3 + h. Let w(o) = b*t(o) + 2*u(o). What is f(w(l))?\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 138 = 4*l, -2*l + 34 = u + 10. Suppose 18 + 2 = 2*i. Calculate the greatest common factor of u and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4426\/3 - 1490. Find the common denominator of 71\/8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 14*a**3 - 6*a**2 + 18*a + 3. Let y(w) = -26*w**3 + 11*w**2 - 35*w - 6. What is 11*o(l) + 6*y(l)?\nAnswer: -2*l**3 - 12*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141163275?\nAnswer: 3, 5, 11, 397, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-21) + 512\/28. Let n be (-44)\/b - (-8)\/4. Is 0 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, -663, -1496, -2561, -3936, -5699?\nAnswer: -7928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 not equal to 10858\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**5\/12 + 3*g**2. Let t(n) = 3*n**2. What is t(s(j))?\nAnswer: 75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101101111100 (base 2) to base 13.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 = -133*j + 138*j. Let f = 23 - -1. What is the lowest common multiple of j and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -7771.\nAnswer: 3108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**4 - 976343*u**3 + 2750*u**2 - 359*u wrt u.\nAnswer: 24*u - 5858058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -729720 divided by 18243\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**3 - 8*w**2 + 5*w - 3. What is c(-6)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 41 = -4*j - 57, 0 = -2*w - 6. Let p = 1.72 - 1.22. Which is the nearest to j?  (a) 13  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -9*a**4\/4 - 5*a**3 + 13*a**2. What is the derivative of z(j) wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + 1*(sqrt(720) - sqrt(720)*1) + 4 + sqrt(720) + 4 + sqrt(720)*2))**2.\nAnswer: 14400*sqrt(5) + 163600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 1. Let x be a(-1). Let v = x - -1. Let q = v - -4. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 12  (b) 2  (c) -19  (d) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 10 - 3*n**2 + 3*n + 2*n**2 + 0 - 2*n + n**3. Does 10 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -29, -63, 12595 in increasing order.\nAnswer: -63, -29, -5, 12595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.04 * 1235.\nAnswer: 18574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a. Let m(x) = 102*x. Calculate m(r(b)).\nAnswer: -306*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*r + 7443 = 186*r - 685373. What is the highest common factor of r and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14300921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4922 = 5*q, 0*q - q - 988 = -4*a. Suppose -2*j - 5*p - 54 = 2*j, 4*j + 2*p = -60. Calculate the smallest common multiple of 10 and j\/40 + q\/(-10).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 2*z + z)*(-z + z - 5*z**2 + (-43 + 89 + 74)*(-6*z**2 + 23 - 23)).\nAnswer: -725*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5596?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c**2 + 9*c - 30. Let r(d) = d**2 + d - 1. Let p(s) = -3*r(s) + t(s). Factor p(u).\nAnswer: (u - 3)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 22185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j + 1 - 1. Let y(v) be the first derivative of v**6\/120 - 4*v**3\/3 + 20. Let x(t) be the third derivative of y(t). Give n(x(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 104*t**6\/15 - t**4\/6 + 797*t**2\/2 + 185*t + 1. Find the first derivative of a(p) wrt p.\nAnswer: 832*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**4 + b**2 - 5*b - b**4 + 2 + 5*b in the form l*b + h + n*b**4 + v*b**2 + k*b**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/7 + (15184\/(-1638) - -10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -68*m**2*o - 3*m**2 - 7*m - 254*o - 32 with respect to o.\nAnswer: -68*m**2 - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 6:00 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -94 (base 10) to base 14\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1 + (-17901)\/(-6510) + -32*(-8)\/3968 and 2\/(-42)*(-2254)\/(-60).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8855 and 17710.\nAnswer: 17710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (3 + sqrt(300) + 1)*4 + (0 + sqrt(300) + 2 + -3)**2)*5.\nAnswer: 100*sqrt(3) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(10) - (sqrt(10) - -1*sqrt(10)*-6))\/(sqrt(5) + (sqrt(10) + sqrt(40)\/sqrt(4))\/sqrt(2)) + (-2*sqrt(1800)*-3)**2).\nAnswer: -324000 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*b**3 + 17608 + b**2 - 8805 - 3*b - 8802 in the form t*b**3 + m*b + f*b**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**3 + 1287660*j**2 - 103628623392*j - 103629911056 = 0. What is j?\nAnswer: -1, 160958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3321124 (base 6) to base 11\nAnswer: -103921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 341276987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/((b*b\/(b*b**(1\/4))*b)\/b))*b**(-3))\/((b*b*b\/b**(-2\/9)*b)\/(b**(-1\/6)\/b*b)) assuming b is positive.\nAnswer: b**(-239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25699 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 25  (b) -1\/182  (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b66 (base 13) in base 12?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (0 + 4 - 2) - (-3 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 7 + 2 = 0. Let b = -464 + 23674\/51. Is b at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -35, -53, -71, -89, -107?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3209017696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49828 + 14052 = -3534*d + 35284 - 342474 for d.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*4\/(3 + -1). Let i be (2\/(-4))\/((-19)\/r). Let s = 0.5 + -0.4. Is i greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 45, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.04  (b) -1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 234 - 2?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57810 - -57809.9953921. What is m rounded to five decimal places?\nAnswer: -0.00461","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**4 + q + 180 - 52 - 2*q**4 - 60 - q**3 + 2*q**2 - 51 to w*q**4 + f*q**2 + p*q**3 + y*q + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 469530513 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f + 4. Let u be w(-1). Let b be 2*-1*u*(-4)\/(-24). Let t(h) = 16*h**2 - 1. Let l be t(b). What is the highest common divisor of 120 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 778384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -100, -117, -132?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 414 and 55768302?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*j - u + 4 = 0, 2*j + 16 = 4*u. Let k(c) = c - 21. Let d be k(9). Let h = d - -15. What is the closest to j in 2, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.21 - -0.93. Let v = b + -1.74. What is the nearest to -2\/5 in 0.1, v, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**3 - 137*o**2 - 2204*o - 396. Give p(-43).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 15 - 12 = 0. What is the greatest common factor of y and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -40 + 94 + -18 + 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -257 - -258. Suppose 5*s = -5*b + 15, 2*s - 6*s = -4*b - 4. Suppose 17 = i - 5*v, 3*i - s*v = -i - 4. Sort r, i, 4.\nAnswer: i, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 486 - 236*q**2 - 48*q + 249*q**3 - 6*q**4 - 19*q**2 - 228*q**2 + 3*q**4 - 201*q = 0. What is q?\nAnswer: -1, 1, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6.18 and 1521.7528243.\nAnswer: 1527.9328243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 9 - (1 + -4 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of o**3 - 483*o**2 + o - 10500.\nAnswer: 3*o**2 - 966*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 18648 divided by 222\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 105, 401, 879, 1527, 2333, 3285?\n\"Answer: -2*z**3 + 103*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2*(-2776)\/(0 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.98 times 241.8?\nAnswer: -2654.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2957\/2232799 + 3\/2713. Let u = y - 14035\/18106. Calculate the common denominator of 69\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-134)\/(-17) + 144\/1224 - -10828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 + 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -62*o**4 - 3 - 2*o**2 + o + 1 + 59*o**4 - 2*o**2 + o + o**3 to the form p*o + l + m*o**2 + q*o**4 + b*o**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2911 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) -1.543  (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 69824  (b) 0.2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 83a5754 + 44?\nAnswer: 83a5798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 2*f - 4*l, 737907 = 3*f - 2*l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 5*t - 5. Let s = 132 - 128. Suppose 38 = -s*p + 18. What is v(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 4*g - 63. Let b be 0 + -2 - g\/(-3). Is 4\/(-6) + (-429)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -6*h. Let b(l) = -2*l**2 - 140*l + 140*l. What is s(b(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.04 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + f**2 + 2*f - 6. What is the tens digit of l(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 374.1 + -368.1. What is the closest to 1\/3 in -2\/9, -1\/5, -3, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 21*b + 6. Let v(d) = 8*d + 1. Let s(m) = -r(m) + 6*v(m). Let o(c) = -39*c + 39*c - c**2 - 2*c**2. Calculate o(s(n)).\nAnswer: -2187*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/2 + 19*f**2 + 79*f\/2 + 20.\nAnswer: -(f - 40)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 4*i**3 - 10*i**2 - 6. Let t(r) = r**3 - r**2 - 1. Let v(u) = b(u) - 5*t(u). Let j be (-30)\/(-4)*(-8)\/12. What is v(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + sqrt(468) - (sqrt(52) + (sqrt(572)\/(sqrt(33)\/sqrt(3)) - sqrt(52)))) - (2*sqrt(325)*-2 - (-3 + sqrt(325))*3))**2.\nAnswer: -270*sqrt(13) + 3006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 6. Let j = -18648 - -18651. Sort j, -3, 2, m.\nAnswer: -3, m, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -0.2, 14\/3, 2\/24123, -10?\nAnswer: 2\/24123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00862296562 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - -2 - 3)*(-10)\/30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q + 2*q**4 - q**3 - q - q**3 to the form b*q**4 + y*q**2 + z*q + p*q**3 + r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l + 7. Let n be w(4). Solve -4 = -5*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25945 - 25945 + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, 0.9, 2\/175, -47?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84737172 is divided by 57410.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 3*(0 + sqrt(171)) + sqrt(171) + 6*-1*sqrt(171))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.8138733 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208*s - 31 = -253 - 194 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 271, 610, 1533, 3334, 6307, 10746, 16945?\nAnswer: 25198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w + 16*w**2 - 19 + 37 - 18 to the form u*w + m + j*w**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g - 15. What is r(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w + 56*w + 183*w.\nAnswer: 230*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, -6, -1\/2, -25473?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 4*x - 4*x)*(-13*x + 0*x - 5*x)*(x - 5*x + x).\nAnswer: -162*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 0.05  (c) -2\/3  (d) -0.61  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h*i**4 - 2*h*i + 16*h - 69*i**4 + 39*i**3 + 22*i**2 - 201*i wrt i?\nAnswer: -48*h*i - 1656*i + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 6*m**2 - 1\/3*m**4 - 6*m + 4\/3*m**3 + 0. Let o(j) = 0. Calculate j.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*z + 196*z + 48*z - 34*z.\nAnswer: 325*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (424 + -7)*(-2)\/(-6). Let c = v + -74. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**3 - 3*g**2 + 3*g + 2. Let o(z) be the second derivative of 3*z**5\/4 + 4*z**4\/3 - 8*z**3\/3 - 11*z**2\/2 - 704*z. What is 2*o(w) + 11*s(w)?\nAnswer: -3*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 2317273.\nAnswer: -5\/2317273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -44, 1\/104, 5, 1\/255?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00153044 to six decimal places.\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*o + 1. Let d be ((-6)\/4)\/((-4)\/8). Suppose 5*w - 30 = -d*f, -5*w + 5*f - 1 = 9. Calculate the highest common factor of w and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + -3 + 2 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-12))\/(c*(c*c*c**4)\/c*c))**(-3\/5) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -2980 and -2980 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 3*u = 4*d + 16, 4*d - 20 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 8*t**2 - 2*t + 1. Let s be z(-8). Suppose 1 + s = j. Is (-6)\/(-9)*j\/4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4456753 litres to millilitres.\nAnswer: 445.6753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4428)\/(-15) - 1\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 8, -2430, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1254418470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 246.6598341 - 246.66. Round d to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/5)*g**12)**17\/(g**(-9)\/(g*(g\/g**(-3\/10)*g*g)\/g))**39 assuming g is positive.\nAnswer: g**(6871\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*n - 2*n. Suppose -2*f = n*o - 22, 0 = 3*f + 5*o - 27 - 5. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x**2 + 61*x**2 - 14 + 1210*x**2 + 14.\nAnswer: 1277*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -2*h**4\/11 + 38*h**3 - 2454*h**2\/11 + 3654*h\/11 = 0.\nAnswer: 0, 3, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 - 6. Let r = 13 + c. What is the second biggest value in 0.5, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6912 + -6911.9. Put -0.023, -0.4, 0, l in ascending order.\nAnswer: -0.4, -0.023, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 0) + (-10)\/5. Sort 4, j, 3 in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 11:54 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -y + 12, n - 7 = 3*y + 6 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 5*w**2 - 11*w + 1. What is x(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-10)*(-11 + (9 - 3)). Let g(m) = -m**2 + 3*m - 4. Calculate g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -629 by -24.\nAnswer: 629\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (161\/(-23) + -1 + 6)*-1. Suppose i*l - 10 = 4*w, 5*w - 2 - 18 = -4*l. Which is the third biggest value?  (a) w  (b) -0.04  (c) -0.3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1717?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**3\/(t**4\/t)*t**3\/(t\/t**(-2\/7)))\/(t**(4\/7)\/t**5*((t\/((t*t*t\/(t\/(t\/(t*t**(3\/4))*t)))\/t*t*t*t))\/t)\/(t\/t**4)) assuming t is positive.\nAnswer: t**(207\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 645, 5370, 18267, 43422, 84921, 146850, 233295, 348342?\n\"Answer: 681*u**3 - 42*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1213.749 and 1.5.\nAnswer: -1212.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 11*r**2 - 11*r + 10. Suppose -9*l + 2*l + 70 = 0. Let b be i(l). Solve b*y = -2*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*n + 0*n - 37 = 0, 3*y + 3*n - 84 = 0. Calculate the remainder when 94 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -o**4\/6 - o**2\/2 - 100*o. Let a(d) = -17*d**2 - 4*d - 9. Let w(f) = a(f) - 6*s(f). Determine w(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 5*m + 10*m - 18, 3*m = -2*i + 10. Factor 2\/7*l + 2\/7*l**4 + 0 + 6\/7*l**3 + 6\/7*l**i.\nAnswer: 2*l*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 greater than 0.002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*-3*7\/(-4). Suppose 4*v + z = 26 + 33, -30 = -3*v + 4*z. Calculate the highest common factor of h and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.03, 0.6, 4, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**1)**(-3)*(g**(2\/3))**(-34\/7) assuming g is positive.\nAnswer: g**(-194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (2 - -1))*(-2)\/(-4). Put 33, q, -4, 0 in decreasing order.\nAnswer: 33, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3 - 7 = 0. Suppose 8 = -n - 4*l, -3*n + 4*l - l + 51 = 0. Suppose 47*k - n = 44*k. Solve 0 = -k*h + 3*z + y, -19 - 1 = -5*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -22626 and -2.\nAnswer: -22628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -4*y**3 - 7*y**2 - 5*y. Suppose -3*w - 13 = -5*s, 2*s + 3*s - 5 = 5*w. Let r(b) = 2*b + 2*b**3 + 7*b - 7*b + 3*b**2. Give s*r(l) + 2*p(l).\nAnswer: 2*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*u - 8*u. Suppose 23 = u*p - 43. Suppose -p*s + 31*s = -22. What is the remainder when s is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*t + 158 = 35*t. What is the closest to -1.9 in 1, t, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 176 - 107. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + -17. Let c(l) be the first derivative of -1 - 4*l - 1\/3*l**s + 2*l**2. Factor c(v).\nAnswer: -(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 6*a**2 - 6*a + 2. Let o be b(4). Let j = 7 - o. Let r be (-4)\/18*j*3. Solve 20 = -5*x, r*k - x = -2*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.06  (b) -104\/11  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1171*(264\/(-24) + (-24)\/(-2)) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5586 is divided by 350.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of 0*q**5 + 0*q + 0*q**6 + 1\/12*q**4 + 1\/112*q**8 + 0*q**3 + 0 + 3*q**2 + 0*q**7. Find the second derivative of g(p) wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phpphpp. Give prob of sequence pph.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5099 + 5096. Which is the second biggest value?  (a) 2  (b) -0.02  (c) -3\/5  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -3, 1.5, -213, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -101\/5, 0.24, -0.3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(544) + sqrt(544))\/(sqrt(162)*-1).\nAnswer: -8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxxl when four letters picked without replacement from xofsfxflxfflffxf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.42376 and -1.\nAnswer: -1.42376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-3\/5)\/m**(-2))\/(m**(-1))**(-26))**(3\/13) assuming m is positive.\nAnswer: m**(-369\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 10:44 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u + 10. Let f be i(2). Let d = 257 - 131. Calculate the highest common factor of d and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/30 and 49\/3655.\nAnswer: 21930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (44\/(-330)*6)\/((-11)\/(-15) + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -10132111201?\nAnswer: 10132111132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2772 = 4*r, 2*t = -9 + 1. List the prime factors of r.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4338*r + 986*r + 9766*r + 12084*r.\nAnswer: 18498*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4239713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 783 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4 = -0. Suppose -509 - 767 = -p*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 1027*s**2 + 104. Let m(r) = -49*r**2 - 5. Let b(n) = 104*m(n) + 5*w(n). Let z(j) = j. Calculate z(b(g)).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2205 is divided by 207?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2435.863662 to one decimal place.\nAnswer: -2435.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of 0*p**2 - 8\/3*p**3 + 0 - 104*p. Let x(a) = 3*a**2. Determine o(x(v)).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(-4)*((-7160)\/2685)\/(4\/60)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 6:26 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2. Let i(h) = -h - 3. Let v = -92 + 87. Let b be i(v). Let u(a) = -a + 2 - b. Give u(x(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -636 = m - 256. Calculate the remainder when 6\/(-9) - (-3)\/((-36)\/m) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**2 + 206*m. Let i(x) = 5544 - 2912 - 2632 + 9*x. Determine i(g(l)).\nAnswer: 18*l**2 + 1854*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 664793.8 + 191919.2. Let g = -856712.88999904 + u. Let v = g - 0.11. Round v to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2576 + -2550. Solve 2 = -22*a + y*a + 2*r, 5*r - 14 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9180 and 2652?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 8) to base 4\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 10504?\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -0.06097, 23?\nAnswer: -0.06097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -306.6 - -306.5. Let h = -34 - -65. Let u = h + -5. Sort 2\/11, u, d in descending order.\nAnswer: u, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y + 4*d - 24, -3*y - 3*d = -18. Let b = 31 - 7. Let i be (6\/8)\/(6\/b). Solve 0 = l - 4*h + 11, -i*l + y*h + 11 = -h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 2. List the prime factors of l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**2)**(3\/13))**(9\/5)*s**(5\/6)\/s*s\/s**4*(s*s**2)\/s**3 assuming s is positive.\nAnswer: s**(-749\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3404 = 4606*y - 4754*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s - 2*h - 33 = s, 17*s + 46*s - 4*h + 818 = -741 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20690.\nAnswer: 2, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13c (base 13) in base 11?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3322068187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -460223 or -8744238\/19?\nAnswer: -460223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(-a + 3*a - 6*a) + 9*a - 69*a - 35*a + 0*a - a + 3*a + (-1 - 2 + 1)*(2 - 2 - 2*a) - 2*a + a - a - a + 3*a - 3*a + 2*a + a - 2*a - 1 + a + 1.\nAnswer: -94*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 47024, 46869, 46714, 46559, 46404?\n\"Answer: -155*i + 47179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 154250, 153751, 153250, 152753, 152266, 151795, 151346?\n\"Answer: m**3 - 7*m**2 - 485*m + 154741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -36\/11, 1\/4, 0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 171 = -p, 90 = 2*o + 5*p - 75. Solve -18*x - o = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 36\/(-112) - (-8)\/14. Let y(l) be the second derivative of 1\/2*l**2 + q*l**4 - 7*l + 0*l**3 + 0. What is the first derivative of y(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -77420, -76705, -75990, -75275?\n\"Answer: 715*f - 78135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 98 - 116. What is the hundreds digit of (-26030)\/(-105) + a\/(-189)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (48\/18)\/(6\/9). Let z(n) be the third derivative of 0*n - 1\/120*n**o + 0*n**3 + 1\/300*n**5 + 6*n**2 + 0. Factor z(c).\nAnswer: c*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1755)\/(-5265)*(-3)\/21*45.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11905 and 7895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 590*s + 969*s + 1077*s - 628*s.\nAnswer: 2008*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2330 + 2302 - (-5 - (1 + -2 + 0 + 2))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2637516*z**3 + 3916*z + 11.\nAnswer: -15825096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 + 0.6. Let y = 3.9 + h. Let k = 16\/75 + 3\/25. Which is the nearest to -1?  (a) -0.5  (b) k  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i**2 + 5*i**2 + 10*i**2 to the form q*i**2 + j*i + r and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 4, w: 2, s: 1, z: 10}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/(1*(-2)\/2). Suppose 0*g - g - f = 0. Let x = g + 25. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 10*t**2 + 16*t - 37. Let m be u(9). Suppose 3*y - 5*f = 8*y - 35, -3*y = -2*f - m. Solve -4*z = -0*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (4 - 4) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 2*b + 2, -7 = -3*b + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, q: 1, u: 4, i: 1, b: 7, d: 2}. Give prob of sequence zubu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101010 (base 2) to base 4.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(-4*t - 8*t - 2*t) + 4*t + 0*t - 2*t + 14*t + 0*t - 2*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d = -5, -3*z - d = -26. Let y = 12 - z. Solve -n - y = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.667374 + -0.032626. Let g = 234642137\/873499536 - 3\/1066544. Let s = g - -2\/117. Which is the closest to 1?  (a) s  (b) l  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-480)\/(-100))\/(-24)*1*15\/42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 0  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2496 greater than or equal to 29963\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**3 + 251605790 + 251605790 - 503211580.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.23*-0.39\nAnswer: 0.0897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 252\/17 in 2\/7, -3, -0.4, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5, 3, -2, -8.8, 3645?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -32*b. Let u be l(1). Suppose 0 = 4*z + 8 - 4, -5*z - 135 = -d. List the prime factors of d\/14 + u\/112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1508 is divided by 751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 15*q**2 - 28*q + 265. Give d(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -157*j + 230. Let o be z(-5). Is o greater than 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 + 18 = -v. Let c = v + 11. Suppose -2*h = h - 2*k - c, -h + 28 = 2*k. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -534442514 (base 6) in base 9?\nAnswer: -18720561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-72*u - 30*u - 14*u)*((1 - 1 - 2*u)*(2*u + 3 - 3) - u**2 + 0 + 0) to the form z*u**2 + h*u + d*u**3 + f and give d.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 275 + 11 = 0. Let h = f + 47. Let v = -20 - h. Let x(m) = -2*m + 1. Determine x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.09999895 - 2.1. What is o rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z - 41*z**3 - 89*z**3 + 5*z.\nAnswer: -130*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**5 - 3*h**5 - 7*h**5 + (4*h**5 - 11*h**5 + 0*h**5)*(-1 + 1 + 2) + (9 - 9 + 7*h**3)*(0*h + h**2 + 0*h).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24 by -27959.\nAnswer: -24\/27959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-78))\/(618\/1339)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + (-6)\/10)*15. Let r(f) = -f**2 + f - 7. Let p(c) = -2*c**2 + c - 15. Let k(j) = d*r(j) + 4*p(j). Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 19. Suppose t + 2*t = -15. Let g be -1 + (-5)\/(t\/6). Which is the smallest value?  (a) -2  (b) k  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 0.119, -9.\nAnswer: -9, -2\/13, 0.119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55 + -221\/4. Sort i, -11, -0.4 in descending order.\nAnswer: i, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2320263)\/(-269016)*(-4)\/(-1)*-2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**3 + 125*n**2 - 43*n + 1357. Is a(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 10. Suppose 0 = -2*m - n + 59, 3*m = g*m - n - 49. Let l be (3\/9)\/1*m. Calculate the greatest common divisor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/2)\/(p*p**(-10)*p)*((p**4\/p)\/p)\/(p\/p**13) assuming p is positive.\nAnswer: p**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/147 and -70\/69.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2129063, 4258118, 6387163, 8516198, 10645223, 12774238, 14903243?\nAnswer: 17032238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32244366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -4*u + 0*u - 14 + u - u**3 + 13*u**2 + 4*u. Let a be c(13). Put -2, a, 3 in descending order.\nAnswer: 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 484.86428 * 4.\nAnswer: 1939.45712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -19*g + 0 - 17\/6*g**3 - 13*g**2. Differentiate l(w) wrt w.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*d + 27*d = 3*i - 29, -5*d - 5*i + 35 = 0. Let h(m) = 8 - 6*m + 4*m + d*m - 8. Let f(c) = -3*c**2 - c. Determine h(f(l)).\nAnswer: -6*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 12 = -3*b, 2 = 4*b - 5*b + 2*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/109355 and 109\/5000?\nAnswer: 109355000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 5*k - 1. Let w = -444 - -439. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31548 divided by 15774\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6322 + 8846. What are the prime factors of u?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4 + 2*5*((sqrt(475)*3)**2 - sqrt(475) - sqrt(475))*3 + 0.\nAnswer: -300*sqrt(19) + 128249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 7:24 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**2\/2 + 3*o + 3. Let k(q) = -q**3 - 6*q**2 + q + 6. Let d be k(-6). Is x(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 105\/54142 and 7\/138?\nAnswer: 162426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.8406 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3052 - 2125134?\nAnswer: -2122042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24831)\/(-2403)*(-3)\/(-1 - 0).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -5*z**3 - 4*z**2 + 280*z + 132. Let w(u) = -2*u**3 - 2*u**2 - u + 1. Let c(b) = -q(b) + 2*w(b). Differentiate c(p) wrt p.\nAnswer: 3*p**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 12. Suppose -o = -k*o - 5*q + 35, -2*o - 2*q = -38. Suppose -4*r + 3*i = -r - 63, 3*i - 57 = -3*r. What is the smallest common multiple of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -86*b - 3116. Calculate o(-39).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -997*u**8\/168 - 49*u**4\/24 + u**3\/2 + 12*u**2 + 32. What is the second derivative of o(x) wrt x?\nAnswer: -39880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(-86*j - 5 + 3 + 79*j).\nAnswer: 14*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2404 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + j + 1 + 6 = 0, 15 = 3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2661729, -5323455, -7985181, -10646907?\nAnswer: -13308633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.42315 rounded to 2 decimal places?\nAnswer: 6.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 49282216373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8*i + 1. Let g be h(1). Let p = 13 + g. Calculate the greatest common divisor of p and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277531.\nAnswer: 277531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6026584.\nAnswer: 2, 619, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2955476 and 1?\nAnswer: 2955477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 2*q - 12, 2*u = 4*q - 3*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1259627 is divided by 1752.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/5)\/((-2)\/25). Let i(q) = 2*q**3 - 15*q**2 - 10*q - 401. Let f be i(15). Suppose -a*z = -f - 4666. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/7  (b) -2  (c) -7  (d) -1363  (e) -0.1  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/3*-3)\/(((-154)\/49)\/(-11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o - 4*o - 4*p - 18, -3*o + p = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13 + 11 - (-6825)\/(-100). Is 0.51 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -11 - 3) + (10 - -17 - (0 + -5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**5 + 115*b**4 + 510*b**3 + 790*b**2 + 535*b + 135.\nAnswer: -5*(b - 27)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*r**3 + 27132*r**2 + 50*r + 86821711?\nAnswer: 15*r**2 + 54264*r + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -1, -0.4, -0.7, 588, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13885 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 20*q**2 + 1401*q - 896. Calculate g(-49).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -257 + 271. Calculate the least common multiple of 84 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m**3 - 4*m**3 + 7*m**3)*(-12*m**2 + 2*m**2 - 7*m**2) - 7*m**5 - 3*m**5 - 2*m**5.\nAnswer: -182*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10182 - -10179.9. Let s = 499\/44 + -45\/4. Which is the biggest value?  (a) s  (b) t  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/15)*o**(-2\/15))\/(o**0)**(-7) assuming o is positive.\nAnswer: o**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.2516 decades to millennia.\nAnswer: 0.232516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -15) + -6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -3*a**5\/10 + 5*a**2\/2 - a - 1. Let d(g) be the first derivative of x(g). What is the first derivative of d(s) wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*r + 12370*r**2 - 12365*r**2 - 5*r**3 + 4*r to the form h*r**3 + a + m*r**2 + s*r and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, 30, -0.6, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 493410, 493539, 493668, 493797, 493926, 494055?\nAnswer: 494184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/(1584\/1806) + 3\/36.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -114\/5 + 23. Let p = 0.3 - 0.8. Sort p, w, 0.15 in descending order.\nAnswer: w, 0.15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247766 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1799, 3356, 4849, 6278, 7643, 8944?\n\"Answer: -32*d**2 + 1653*d + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -1053*s. Let u(r) = 8*r**2 - 38. What is t(u(m))?\nAnswer: -8424*m**2 + 40014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 6*d - 1. Let u be h(-4). Let j = u - -45. Find the first derivative of n**4 + 25 - 4 - 4*n**j - 1 wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1628.343 - -110?\nAnswer: 1738.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-11352602)\/101)\/(2\/10). Round d to the nearest 10000.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82\/8*((-32)\/60*(-1050)\/(-140))\/1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from {c: 11, u: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31209239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -37 in 1\/122, 3, 139\/4?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**3*o**2 - 145*k**3*o + 6*k**2*o + 12*o**2 wrt k?\nAnswer: 12*o**2 - 870*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjcj when four letters picked without replacement from aavajajjaavaczua.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 8*s - 14. Let g(y) be the first derivative of -y**2\/2 + y + 243. Give -10*g(m) - l(m).\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 <= 272.7541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - c - 2)*(-2 - 3 + 4) - 198 + 198 + 11*c + (-15*c + 0*c - 20*c)*(4 - 2 - 1).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 690519 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5 = -b, -j - 3 + 4 = b. Let w be (j + -2)\/((-4)\/(-20)). Suppose w*k - 2*z = -0*z + 33, -2*z + 37 = 5*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 9) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -7*c - 5*c**3 - c**2 + 8 + 3*c**3 + 9*c**3 + 3. Let a(x) = 8*x**3 - x**2 - 8*x + 13. Let z(i) = 5*a(i) - 6*t(i). Suppose z(y) = 0. Calculate y.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2*q - 63 = -g, -101 = -4*g - 3*q. Suppose -2 = 4*k + 22. What is the remainder when g is divided by -2*(k\/(-16)*-4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 9, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389636970?\nAnswer: 2, 3, 5, 12987899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1898 = -24*q + 1490 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2059368*u**3 + 2059357*u**3 - 8237424*u**3 + 2059358*u**3 + 2059356*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -417, 125, 663, 1197, 1727, 2253?\nAnswer: 2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 5) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 3  (b) 0.061  (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48915 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: Convert 655.0247ml to litres.\nAnswer: 0.6550247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q - 2. Suppose -868 = 5*c - c. Let k = -221 - c. What is m(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5578715 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 601.1.\nAnswer: -1202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 3*b - 19, -24 = -280129*b + 280123*b - 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of d**7\/21 - 47*d**6\/75 + 9*d**5\/5 - 19*d**4\/15 - 31*d**3\/15 + 21*d**2\/5 - 3*d - 53. What is v in f(v) = 0?\nAnswer: -3\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 31*v**2 + 6*v + 10. Let p = 385 + -381. Calculate the lowest common multiple of p and o(-2).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k**2. Let o(y) = 2*y**2 + 164*y - 2. What is o(m(x))?\nAnswer: 32*x**4 - 656*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 11*z. Suppose 2*c = -2*c + k + 268, 2*k = -2*c + 144. Let a = c - 34. Let o(d) = -2*d. Let j(p) = -12*p. Let w(h) = a*o(h) - 6*j(h). Give w(u(l)).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-144))\/(29\/16)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -10. Suppose 0 = 5*j - 4*s - 160, -4*j + 41 = -2*j + m*s. Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**2 - 3. Let m(u) be the first derivative of 33*u**2\/2 + 2*u - 1878. What is x(m(l))?\nAnswer: 2178*l**2 + 264*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101454943.\nAnswer: 5501, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3081.3189 take away 237?\nAnswer: -3318.3189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 46*i - 1574. Let o be c(23). Calculate the highest common divisor of o and 4589.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b. Let v(z) = -26927103*z**2. What is v(t(n))?\nAnswer: -107708412*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12745?\nAnswer: 5, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 99*a**2 + 2*a**4 - a + 147 - 100*a**2 - 4*a**3 - 190 to the form o*a**3 + v*a + i*a**4 + f*a**2 + t and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1457260 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -126 + 147. Suppose 252 - 1176 = -x*l. What is the greatest common factor of l and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(-3733335*c + 2 - 3 + 3734122*c) + 0*c - 2*c + 4*c.\nAnswer: 789*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + 4. Let v = r - 18.45. Let u = 0.05 + v. Put 1\/10, 1, u in descending order.\nAnswer: 1, 1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 453 and -751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + z - 3148, 5*d + 5*z + 2*z = 15736. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h. Let p(x) = 2*x + 959 - 20*x**2 + 966 + 961 - 2886. Determine t(p(l)).\nAnswer: -60*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v - 21. Let k be i(-6). What is the second derivative of -u + u**4 + k*u + 27*u**4 wrt u?\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(-156)*(-50)\/(-5)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -18*n + 73. Calculate m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 + 6. Let a = -7 - -10. Let h = a - c. What is the third smallest value in h, -2, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*b + 3. Let c(s) = b*s**2 - 5*s**2 - s**2. Let u(v) = v**2 + v + 5. Let h(f) = -6*f**2 - 11*f - 55. Let n(i) = h(i) + 11*u(i). Determine n(c(z)).\nAnswer: 45*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 31043321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -1\/7  (b) 0.01  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (94\/(-8))\/(-47) - 7\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 0.2  (c) 101565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 10*b**2 + 85*b - 11. Determine w(-7).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 9465*l**2 + 252*l - 545. Let b be k(15). What is b rounded to the nearest 10000?\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 954 - 954. Let n(s) be the second derivative of q*s**2 - 10*s - 4\/3*s**3 + 0. Let i(w) = 2*w. Determine n(i(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - 1 - 9 - 14)*(22 - 28 + 20).\nAnswer: -28*k - 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l. Suppose -11 = -d - 5. Let x be (d - (-1108)\/(-184))*-4. Is x less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 6 - (0 - (0 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -66\/31  (b) -3  (c) -6  (d) -0.7  (e) 0.2  (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + s**2 + s + 10. Let o be k(0). Suppose 2*u = -0 - o. Which is the nearest to -0.1?  (a) u  (b) -1  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10210 (base 11) to base 5\nAnswer: -434034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 9, e: 5}. What is prob of sequence eve?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence siss when four letters picked without replacement from bbssssibbbii.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + -24. Calculate the remainder when y is divided by 44\/10 + (-2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 - 3*s - 24)*(-3*s - 2*s + 6*s)*(4*s - 3*s - 2*s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 13 + 8 = 0. Suppose 146 = -23*g - 245. Calculate the smallest common multiple of i and g\/136 - 388\/(-32).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 95 and -12.76.\nAnswer: 82.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -4*(3 - (-73)\/(-4)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 1:01 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 8:53 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 0.4, -6, 6 in decreasing order.\nAnswer: 6, 0.4, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -611, -566, -533, -512, -503?\n\"Answer: -6*p**2 + 63*p - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 171*r + 6373. What is h(54)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -1, 94, 9, 5, -8 in decreasing order.\nAnswer: 94, 12, 9, 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 259534\/9, 4, -81 in ascending order.\nAnswer: -81, 2, 4, 259534\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/4))**(-50)*(q**(-1)*q)**37 assuming q is positive.\nAnswer: q**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/25)\/((-11)\/(-110))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c - 1. Let q(f) = -3 - f + 2 + 1 + 3. Determine q(l) + 2*u(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6207, 6215, 6221, 6219, 6203, 6167, 6105, 6011?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 309025018 to the power of 1\/2, to the nearest integer?\nAnswer: 17579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 53136166*-0.4\nAnswer: -21254466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.6293 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -13. Suppose c = 3*u + 19, 3*c + 2*u - 4 = -t. Suppose 192 = 2*n + c*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 3*u - 7, x - 8 = -2*x + 5*u. Suppose -2*h + x - 1 = 0. What is w in h + 295*w**2 + 3 - 264*w + 180*w**2 + 1703*w**2 = 0?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {g: 1, m: 2, q: 4, j: 3, a: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5))**(9\/4) assuming g is positive.\nAnswer: g**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1391 at most 0.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59555885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - 3*a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1))**37*(p**(-2\/5))**(-1\/6) assuming p is positive.\nAnswer: p**(-554\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*w + 41. Suppose -w = -2*q + 42. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrjeennieiiire. What is prob of picking 2 e and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 5:59 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.5 - 0.44. Let p = 0 + 0.1. Let n = b + p. Round n to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 1)\/(105\/(-7812)). What is the highest common factor of 48 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - m = 2*k - 13, 3*m + 4*k - 17 = 0. Let x = -10 + 2. Is (x\/20)\/(m\/55) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Let j be ((-1)\/g)\/((-7)\/(-14)). What is the third smallest value in 1, j, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 4 = 2*l. Let u(q) = -q + 4*q + l - 2. Let i(x) = 3*x**2. Calculate u(i(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-3750)\/1495)\/(-6) - (6853\/(-16376) - 3\/(-8))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1698322552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/(-2))\/24)\/((-2)\/(-8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2790\/8137 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 39*k**4 - 10899*k**3 + 170013*k**2 - 307485*k + 148332 = 0?\nAnswer: 1, 188\/13, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -44.699 - 0.201. Let p = c + 45. What is the fourth smallest value in p, 1, 0.05, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -3*n**3\/2 - 127*n**2\/2 + 5*n + 132. Determine j(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12345513 (base 6) in base 3?\nAnswer: 202110212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-47 + 23 - 20)*(-4*z**3 + 0*z**3 + 2*z**3).\nAnswer: 88*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**5\/12 + 103*x**4\/24 + 59*x**3\/6 + 3*x**2 + 1255*x. Determine s(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, -3\/2, 2\/9, 469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 12 = 3*t - 2*t, -28 = 5*k + 3*t. Let n be ((-3)\/(-2))\/((k\/4)\/(-12)). Suppose -10*s + n*s + 263 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-175)\/(-125))\/((-9)\/45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {k: 2, d: 1, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**2\/5 + 336*b\/5 = 0 for b.\nAnswer: 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -0*t + 2*t. Calculate the remainder when 2\/(-4) + 17\/t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 87.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6751, 14386, 22021, 29656?\n\"Answer: 7635*k - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8196*l*q**4 + 4*l*q**2 - 2*l + 10144*q**6 + 2*q**2 + 319148*q + 8 wrt q?\nAnswer: -196704*l*q + 1217280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 0 - (-49 + 16 + 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7041187301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w - 6. Suppose -2*t - 2*q = 8, t = 5*t + 5*q + 20. Let k(d) = 3 - 5 + t - 5 - 3*d. Give 5*k(n) - 6*o(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2 = -18. Let i = 2.40242 + -5.40242. What is the nearest to i in -3, r, 0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -271, -8, 5, -3 in ascending order.\nAnswer: -271, -8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -3, -5, 10\/13 in decreasing order.\nAnswer: 10\/13, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 640224 and 10845276?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 291089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b - 131874a?\nAnswer: -1318779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (-1)\/10*(-15)\/(-108). Let s(g) be the second derivative of 0 + 4*g + m*g**4 + 0*g**2 + 1\/36*g**3. Factor s(l).\nAnswer: l*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1649, 1682, 1773, 1952, 2249, 2694, 3317?\nAnswer: 4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -0.05, -0.3, 4, -2.2, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, -1, 2, -0.599 in descending order.\nAnswer: 2, -3\/7, -0.599, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 270 and 150?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 + 33 = -6*w + 177 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 98377508\/435 + -226155. What is the common denominator of i and -46\/165?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-8) + 765\/60. Let z = -203 - -484. Let o = -177 + z. What is the highest common factor of o and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.719 - -7.7. Let t = 0.019000007 + o. Round t to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/6, 28, 2\/7, 5 in ascending order.\nAnswer: -5, 1\/6, 2\/7, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 135.1 and -9.2.\nAnswer: -1242.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 0 - (0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/8)\/((-140)\/(-320))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396) + -4*sqrt(396))\/sqrt(11))\/(2*sqrt(108)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1280 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 2*q - 48, -5*q + 5*b + 139 = 4. What is the greatest common divisor of q and 522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7575, 13806, 17339, 16824, 10911, -1750, -22509?\n\"Answer: -225*b**3 + b**2 + 7803*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28679 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -22. Let q = 872 - 867. What is the remainder when x\/14 + 800\/35 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.037 and 12.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1439 + -275?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 29*j - 164. Let v be r(6). Let w(i) be the second derivative of 0*i**2 + 0*i**3 - v*i + 0 - 1\/6*i**4. Let d(m) = -2*m**2. What is d(w(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7949457320 + 7949395366.46633. Let q = g + 61951. Let z = q + 2.54. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 1 - 9 = 2*z, -c = -z - 3. Let y(j) = 0*j**c - 4*j**2 + 3*j**2. Let p(h) = -h + h + h**2. What is y(p(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46595, -372372, -1256299, -2977346, -5814483, -10046680, -15952907, -23812134?\nAnswer: -33903331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*h - 968 = -792 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 16 = -4*z, -4*l + 3*z - 7 = 7 - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 0*c + 6 = 0. Suppose -c*j + 28 = j. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*t + 78*t = 910. Let g = t - -160. Is g a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 2*i - 3*i + 53, y = -3*i + 8. Let t(r) = 5*r + 30. What is the remainder when t(7) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 8*s**2 - 6*s - 10. Let x be -3 - 1 - 77\/(-7). Give u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5886 and 22018?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 4, w: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b - 28. Let u be y(-17). Let c(s) = -s - 147 + 154 + u*s. Let j be c(2). Solve 5*z + 2*k = -0*z + j, -5*k - 25 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2058*c**2 + 2*c + 9. Let t be f(6). Suppose -v = -4*v + t. Let b = v + -38003. Round b to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -191077, -1528677, -5159299, -12229453, -23885649, -41274397, -65542207, -97835589?\n\"Answer: -191085*o**3 - o**2 - 2*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 1\/2, -24917, 0.31?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2140211\/279 + 7671. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4887268 and 19549072.\nAnswer: 19549072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -769 = 6*k - 745 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 206555701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b**3 + b**3 + 0*b**3)*(0*b - b - 6*b) - 100*b**4 - 1141*b**4 + 257*b**4 to w*b**3 + y*b**2 + x*b + h*b**4 + a and give h.\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61 - -62. Which is the nearest to k?  (a) -1\/6  (b) 5  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14614946 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**5 - 34*v**4 - 52*v**3 - 54*v**2 - 11*v. Let b(p) = p**4 - 2*p**3 + p**2 - p. Let g(i) = -4*b(i) - f(i). Suppose g(w) = 0. Calculate w.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - 22*g - 40. Let q be p(-20). Suppose -6*x - 5*w = -9*x - 4, q = -3*x + 4*w + 1. Let z(i) = -i**2 + 5*i. Give z(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 162*h - 158*h. Let j = -6 - -10. Solve 0*d + h*d + 4*o = 8, d - j = -2*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*p + z, 5 = -5*p + 326*z - 321*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*9\/126*2\/2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.549 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -7. Let o be 0\/m + -28 - 2. Let p be (2\/(-3))\/(o\/(-18)). What is the biggest value in p, -3, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 28 = -4*r, -r = 2*r - 12. Solve 0 = -c*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -1000000001001001?\nAnswer: 1000000001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10180 rounded to the nearest 100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 1340 = -11082. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4776 and 206554836.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20220 and 118485?\nAnswer: 159717780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -6*l**3 - 7*l**2 + 3*l**2 + 0*l**3 + 7*l**3 + 4 + 2*l. Suppose 4*s - 2*w - 8 = 0, 3*s + 5*w - 34 = -2. Is a(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 times 0.0508?\nAnswer: -0.8636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -73 - -87. Calculate the highest common factor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 144\/1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3028, -3019, -3008, -2995, -2980, -2963, -2944?\nAnswer: -2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, j: 15}. What is prob of picking 1 j and 2 x?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/4 and 17\/34508.\nAnswer: 34508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7*r + 4. Suppose -3*c = -z - 22, -19 = -2*c + 5*z + 13. What is v(c)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v - 3. Let b(t) = t**2 + 3*t - 3. Let j(k) = 6*b(k) - 7*l(k). What is the units digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91400338 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d**4 - 9*d - 9*d**3 + 56*d**3 + d**2 - 42*d**4 + 35*d**4 - 21*d**5 + 3*d = 0. Calculate d.\nAnswer: -1, -3\/7, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63375 - 440\/3*w**3 - 5\/3*w**4 - 28600*w - 11630\/3*w**2.\nAnswer: -5*(w + 5)**2*(w + 39)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36.00351 - -36. Let l = 0.12 + -0.117. Let k = v + l. What is k rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5040026 divided by 44602\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 3*f + 39, f + 3*f = 3*k - 48. Suppose -2*d + 4*d = -2*d. Let b be ((-18)\/(-21))\/(d + f\/(-42)). Solve 3*w - 23 = 2*h - 3, b*w + 4 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 148 + -146. Let u(j) be the second derivative of 0*j**3 + 0 + 1\/32*j**4 + 1\/80*j**6 + 3\/80*j**5 + 0*j**w + 16*j. Solve u(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58 divided by -7936\nAnswer: -29\/3968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 - 36*a - 14*a + 66*a + 47*a.\nAnswer: a**2 + 63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 984 is divided by 958.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2076092 + -464908. What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -321123313012?\nAnswer: 321123313010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 1. Suppose 0 = -y - v*y - 2. Let j(p) = -p**3 - 2*p**2 - 2*p + 2. What is the units digit of j(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**3\/6 - o + 1. Let x(v) be the first derivative of c(v). Is 2 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316737829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -101 - -10 - (14 + -8 + (-40 - -17))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 78*r - 33155 - 28*r + 33154 as b*r + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2312340 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 646659.\nAnswer: -1\/215553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*m + 63, z + 3*m - 9 = -5. Solve 21*h + 6 = z*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a + 2 - 4*a**2 + 5*a**2 + a - 3*a. Suppose -r + 0 = j + 4, -5*j = -5*r + 20. Suppose 0 = 4*q + 3*s - 2 - 3, 3*q + 3*s = r. What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 56. Let x be c(-40). What is the greatest common factor of x and 6432?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 2)\/((-2)\/20). Let b(w) = 40*w**2 + 26*w + 2. Let s be b(-2). Calculate the highest common divisor of o and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50)\/80*46*(-12)\/150*5?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 57913 (base 10) to base 8\nAnswer: 161071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8396 + 8396.04. Which is the closest to p?  (a) 2\/5  (b) -0.2  (c) -2\/11  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19841329162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/11))**33 assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -177, 37, 1 in increasing order.\nAnswer: -177, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from mfftmffmzfzfzmfzzmt?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 137.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17d + 2?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 144, -27 in ascending order.\nAnswer: -27, -5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10583 and 6688?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (206\/14)\/((-18)\/12). Let k = -50\/21 - r. Find the common denominator of k and 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69 - 2*a**3 - 78*a**2 - 94 + 24 to the form c*a**2 + m*a + l + v*a**3 and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00017363313 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 210*l**2. Let p(i) = 549*i**2 + 4*i + 1. Give p(f(v)).\nAnswer: 24210900*v**4 + 840*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42553, -169532, -381125, -677338, -1058177, -1523648, -2073757, -2708510?\nAnswer: -3427913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 433 + 0.1.\nAnswer: 433.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cll when three letters picked without replacement from nnlwcwlnwcwwnll.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 4\/3, -24\/5, 5, -0.2, -0.8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2340793681 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 3*i**2 + 3*i - 4. Let q be h(-4). Let x be (-4)\/(-6)*(q - -3). Solve -x*v - v - 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -33073078 - 19131*y + 33073078 - 4*y + 3*y + 0*y + (-2 + 5 - 5)*(0*y + 5*y - 3*y) - y - 2*y + y.\nAnswer: -19138*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -548164 and -4642291.\nAnswer: -5190455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 46567, 46577, 46589, 46603, 46619, 46637, 46657?\n\"Answer: k**2 + 7*k + 46559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(16\/7)\/(o\/(o*o**(-36)*o*o)) assuming o is positive.\nAnswer: o**(-222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -376 + d + d + 382 + (45 + 166 + 142)*(4*d + d - 4*d) in the form n*d + y and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 626231 is divided by 3334?\nAnswer: 2773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/8 - (-22)\/264\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -472\/53 or -9?\nAnswer: -472\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 53*m**2 + 11*m - 303. Determine k(53).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7394 smaller than 7397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k + 6*k = 4*k - 5*y - 55, 37 = -4*k + 3*y for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 452410070 to the power of 1\/2, to the nearest integer?\nAnswer: 21270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (1*sqrt(192) + 4 + -4 - (sqrt(192) + (sqrt(192) - -4*(sqrt(192) + (sqrt(192) - (sqrt(192) + sqrt(192) + -1)))) + -1)) + 0)*6)**2.\nAnswer: 576*sqrt(3) + 6948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c**3 + 5*c**3 - 3*c**3)*(-2 + 3 + 0) + 5 - 52 + c**3 - 8 in the form d + f*c + z*c**3 + p*c**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -40*y**2 + 2. Let g(o) = 14*o**2 - 1. Calculate 17*g(k) + 6*r(k).\nAnswer: -2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 + 0.31. Let b = -6.99 - q. Let j = -434.1 + 434. What is the closest to b in -0.3, j, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 115 - 50*u**3 - 235 + 121 + 5*u**2 wrt u.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3124, 6162, 9214, 12286, 15384, 18514, 21682, 24894?\n\"Answer: v**3 + v**2 + 3028*v + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 2\/15  (c) 2\/9  (d) -322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/187, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.7 - -0.7. Let s = 869 - 865. Suppose 0 = w - 1. Which is the nearest to w?  (a) s  (b) g  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -0.1, 0.5, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 708624844.\nAnswer: 2, 177156211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -20*n**2. Let f(l) = -1798*l**2. Give v(f(o)).\nAnswer: -64656080*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34008\/7 - 4858. Let q = -95 + 91. What is the closest to z in 18, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-six fifths of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000163030773 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) 0.1  (b) -0.2  (c) 4  (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 + (-84)\/(-2))*1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52 + -49. Let n be 7\/42 - (-1)\/(-6). Let o = n - -3. What is the greatest common factor of o and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2121826267?\nAnswer: 11, 29, 71, 93683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18551*v = 19001*v + 34200 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -279, 1, -2.15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 30624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence idjw when four letters picked without replacement from wwiwwwwdwwjdiw.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 22*n - 29. Let p be z(4). Let x = p + 26. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 333*z**2 - 21*z + 10. Let w be k(27). Suppose 3*i = 17*i + w. Round i to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*j + r, 2*r - 40 = -5*j + 6*r. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 339cf + 7f?\nAnswer: 33a4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 126918918 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -163343621 (base 7) to base 15.\nAnswer: -e99dce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -16 + 22 + 158\/(-30). Let x = -37\/30 + l. Which is the closest to 1?  (a) 0.5  (b) x  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -192.1  (b) 10  (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1553279 times 0.5\nAnswer: -776639.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -37*s**3 - 2*s**2 + 8*s. Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 367*j + 3 + 277*j + 136*j + 261*j as n + t*j and give t.\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -3, -5*l - 14 + 36 = -3*r. What is the units digit of (-3 + 96\/20)*l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, -133.5027 in decreasing order.\nAnswer: 4, -1, -133.5027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 162 = -n - 4*r, n + 5*r = 43. Let j = -21 + n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30618 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1972 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -765000 rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 100 - 26. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/23, 2\/5, -4, -265\/12 in increasing order.\nAnswer: -265\/12, -4, -2\/23, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 35124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 150, 246, 376, 552, 786, 1090, 1476?\nAnswer: 1956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -91*d - 20. Let i(n) = -366*n - 85. Let r(x) = -4*i(x) + 17*s(x). Let c(a) = 2*a**2 + 4*a**2 - 5*a**2. Give r(c(h)).\nAnswer: -83*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1990778 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2363990111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 73 - 79. List the prime factors of -2*(705\/(-12))\/(-5)*l.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43300 greater than 43302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -71 - 9. Calculate the common denominator of -113\/6 and (0 + -2)*(-388)\/t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 1:08 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22277, 12, 5, 28 in ascending order.\nAnswer: 5, 12, 28, 22277","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 4*r + 35, 11 = 3*i + 2*r - 8. Suppose -i*w = w - 52. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1))**(1\/31)\/(j*j\/(j**(-1\/2)*j)*j)**31*((j**(1\/4)*j)\/j)**(-36)\/(j*j**3*j**(-3)) assuming j is positive.\nAnswer: j**(-5421\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 11212, 22061, 32924, 43807, 54716?\n\"Answer: r**3 + r**2 + 10839*r + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*t**3 - 98*t**3 + 16*t**3 + 43*t**3.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 1961 - 1687 = 0. Suppose -1936 = -4*i - 4*p - d, 0 = -2*i + p + 652. Let a = i + -81. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - 837.\nAnswer: -837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230 divided by 60.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 3\/5, 1, 0.25, -41\/2, -4\/33, 2\/9, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 8 = 12, f + y - 175 = 0. Suppose 45*x - 49*x = f. Which is smaller: x or -44?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43123\/3194 - 2\/1597. What is the common denominator of -9\/2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xooz when four letters picked without replacement from xxxoxooooxxozoxoxoxo?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x - 36280 = 10*x + 4*c, 0 = -4*x - 5*c + 72599. List the prime factors of x.\nAnswer: 2, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3553, -3520, -3487, -3454?\nAnswer: -3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -c**5\/30 - c**2. Let d(o) = -3*o - 1. Let n(j) = -23*j - 8. Let u(x) = -40*d(x) + 5*n(x). Give u(r(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173291?\nAnswer: 173291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/7 + 1248*h**2 - 1417734*h\/7 + 56493532\/7.\nAnswer: 2*(h - 79)**2*(h + 4526)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23760 and 6710?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.785 + -2.215. What is the nearest to -1\/3 in -16, q, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 65 + -3 + -3 + 4. Let a(b) = 54*b - 70*b - t*b - 56*b. Let g(r) = 2*r. Determine g(a(d)).\nAnswer: -270*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(1728))\/(sqrt(90)\/(5*sqrt(250))).\nAnswer: -2000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*n - 9*n - 9*n + (-1 + 2*n + 1)*(0 + 2 - 3) - 6*n + n + 2*n)*((-6 + 5 + 0)*(-4 + 3 + 2) + 2 - 4 + 4 + 1 - 5 + 2).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -1242*q - 6347. What is the hundreds digit of a(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 657 divide 1039374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**6\/2 - 4*k**5\/5 + k**2\/2 + 134*k - 311. Find the second derivative of b(g) wrt g.\nAnswer: -60*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6930.9 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -10481\/1856?\nAnswer: -10481\/1856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/4502 and 17\/34038.\nAnswer: 76619538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1566 - 7828\/5. Sort a, -1, 1, -10.\nAnswer: -10, -1, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27376*z**4 + 62*z - 5659969 wrt z.\nAnswer: -109504*z**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**1\/(y*y**1*y)*(y*y**(-3\/2))\/(y*y**(-9)\/y) assuming y is positive.\nAnswer: y**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 45730752 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2488\/(-133) - ((-10)\/35 + 0). Which is bigger: -19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 365, 716, 1069, 1424, 1781, 2140, 2501?\nAnswer: 2864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - -27. Suppose 5*j - h = -21. Which is bigger: j or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 17*w**2 - 116*w + 1484. What is m(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -306754 times 6\nAnswer: -1840524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence siih when four letters picked without replacement from {s: 5, a: 2, x: 1, h: 2, i: 6}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 70\/392727?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.51 and 241?\nAnswer: 122.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 1245*y + 1249*y - 3 = 0, 0 = 5*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -387*o - 15*o**2 + 195*o + o**2 + 192*o.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -291675 + 636?\nAnswer: -291039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 3. Let a = -2687 + 2696. Suppose 2*y = j - 12, -5*y + 2 - 8 = -j. Solve -s*p + a = -j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*j**3 + 0 + 0*j**2 - 2\/15*j**4 + 2\/15*j**5 + 0*j.\nAnswer: 2*j**4*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, -78, -753, -2406, -5445, -10278, -17313, -26958?\nAnswer: -39621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (0 - 14 - (-99 - -88)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20691640553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 711 and 2980953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/51 + 3\/17. Let h = 14274.64 - 14848. Let b = -573 - h. Is f at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000024238972 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -195 * 3.3.\nAnswer: -643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -2. Let p = m + 0. Suppose -5*b - 3*v = -70, v - 42 = -5*b + p*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-25)\/60*98\/(-5)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9860545 grams in milligrams?\nAnswer: 986.0545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wy when two letters picked without replacement from wwyxiyiiyxwwyiixw?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**4*v + 9*h**4 - 4*h - 32*v + 2 with respect to h.\nAnswer: 8*h**3*v + 36*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29231981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2555*l - 92548 = -4458*l - 436185 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 35*v**3 - v**2. What is the tens digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11615404.\nAnswer: 2, 101, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 7:46 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201010120201121 (base 3) to base 6.\nAnswer: -1001533324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gzzg when four letters picked without replacement from {z: 3, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 26176492 and -18?\nAnswer: 26176510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 343*c**3 - 77*c**2 - 77*c - 77. Let z(n) = -9*n**3 + 2*n**2 + 2*n + 2. Let y(o) = o**2 + 2*o - 10. Let g be y(2). Give g*i(r) - 77*z(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 9068*n**2. Let y(z) = 617*z. What is s(y(g))?\nAnswer: 3452087852*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -h**4\/12 + 5*h**3\/9 - 7*h**2\/6 + h + 11. Factor p(j).\nAnswer: -(j - 3)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u + 27. Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 70146 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, 2, 31, 64, 101?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*i = 963 + 841 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 15. Let l = 8 + p. Let r be -3 + 7\/(35\/l). Is 1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 914.4365ml in litres?\nAnswer: 0.9144365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -123.2 times -0.894?\nAnswer: 110.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -332 (base 7) in base 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-1*-6)\/(sqrt(8) - -2*sqrt(72)).\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -971\/2 - -2917\/6. Which is greater: 2929 or q?\nAnswer: 2929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 315\/36 + -9 - (-34162)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 != -23\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9030*n + 1148554 - 110104 = 0 for n.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + sqrt(1100) + sqrt(1100) - (1 + sqrt(1100) + 3) - (sqrt(1100) + sqrt(1100) + -1*sqrt(1100) - sqrt(1100))**2*2*5.\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 100 = 2*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 3*p + 11025 = 0. Suppose p = 8*r - 451. Suppose -r = -h - 3*h + 5*q, -5*q + 136 = 2*h. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 8:13 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*o + 15*o + 1 - 2*o**3 - 8*o + (0*o + 0*o + 3*o**2)*(3*o + o - 2*o) as f + h*o**2 + u*o + w*o**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -81\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 8*g - 16. Let d be f(3). Let z(a) = 26*a**2 - 1. What is z(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 13*l**3 + 28*l**2 + 49*l - 86. Give w(-3).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-53)\/((2 + -3)*1). Let h = -26 + r. What is the highest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2541332.\nAnswer: 2, 635333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(91)\/(sqrt(14)\/sqrt(2)) + sqrt(13) + -1*(sqrt(13) + 1))*-2)**2.\nAnswer: -128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*a + 2 = 0, -2*v + 4 = a + 1. Suppose v*r - 2 = -l, 3*l = -4*r - l. Let c(k) = -k - k**2 + 2*k**r + k. Let f(j) = 3*j. Calculate c(f(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1003, 7706, 25781, 60904, 118751, 204998?\n\"Answer: 946*q**3 + 10*q**2 + 51*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*s - 3 = 1, -8 = 4*z + 2*s. Let y be 10\/(-1)*16\/z. Suppose 0 = -0*f - 4*f + y. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.14 in 0.052, -1.66, 5, -5?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + 5*s - 65. Let q be -6*(2 - 8\/12). Calculate the remainder when s is divided by 20\/3 + q\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 790330 and 6800?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20\/(-12))\/(3710\/1272). Which is the second smallest value?  (a) 182  (b) 0.09  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 23 + -121 + 84?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 15 + (-12 - (-1 - 4) - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -602, 27?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 14*f - f**2 - 14*f + 4 - 3. Determine b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 1 + 7 + 7*w - 7 + 2. Calculate h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-11))**(-38)\/(w*w*w**(-5))**44 assuming w is positive.\nAnswer: w**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, b: 5, d: 3, h: 4}. Give prob of sequence bb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11663690 and 107298.\nAnswer: 3974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.301 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, n: 2}. Give prob of sequence nkk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*k + 6 = 0, -1 - 9 = -4*v + 2*k. Solve 3*m = 5*t + 22, -4*m - 4*t = -5 - v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 - -12. Which is bigger: -9 or o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 + (-2 - -1*1) is divided by 658\/126 + (-4)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/6)\/k)**(-1\/16) assuming k is positive.\nAnswer: k**(7\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -3\/4  (c) -1\/40  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 7*v - 8. Suppose -d - 4*d - y = 40, 0 = 3*d - 5*y + 52. Let r be k(d). Solve w = -4*n + r, w - 5*n + 8 = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36090109 at most 36090109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 6 - (2 + -3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -344495 or -344494?\nAnswer: -344495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13777951, 13777933, 13777915, 13777897?\nAnswer: 13777879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3.22 * 1125878\nAnswer: 3625327.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-3)*30\/20. Let h(m) = 21*m**2 + 5*m - 4. What are the prime factors of h(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**2 - 7*n + 14. Calculate q(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/12*-6*46\/276.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from {f: 5, t: 13}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r + 10*r + 5736 = 0. List the prime factors of r.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -h**5\/60 - 5*h**4\/12 + 5*h**3\/3 + h**2 - 1. Let a(m) be the second derivative of n(m). What are the prime factors of a(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/1040 and 53\/3040?\nAnswer: 39520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 72\/581 - -1943\/185920. Let l = -37239 + 5958209\/160. Let k = l - d. Find the common denominator of k and 95\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + d - 3 = 0, -7*w + 4*w - 4*d + 12 = 0. Let y be (-52)\/(-156)*(1 - w - -101). Put y, 1, -5 in descending order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 199958974, 399917944, 599876916, 799835890, 999794866?\n\"Answer: p**2 + 199958967*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3356 = -32*f - 194*f - 1842 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p + 16. What is the units digit of i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13*4\/(-52))\/(2\/(-2)*(-71)\/5183).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -8*z**2 - 7*z + 7. Let v(s) = -s**2 + 2. Let j be v(4). Let h(p) = -4*p**2 - 3*p + 3. Let t(d) = j*h(d) + 6*q(d). Let k(b) = -b. Determine t(k(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j + 7. Let v = -8 - -12. Suppose -h = v*h - 25. Let p be f(h). What is the third smallest value in -1, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 3*n**5 + 30*n**4 + 39*n**3 - 96*n**2 - 204*n - 96 = 0.\nAnswer: -8, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9, -8, -9, -12, -17, -24?\n\"Answer: -i**2 + 4*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*x**2 + 3*x**3 + 4*x**3 + 64*x**2.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*w + w + 2*w)*(2 - 7 + 3) - 1 - w + 1)*(-3 - 1 + 2) + (0*w - 2*w + w)*(14 - 11 + 28).\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 88133.55 litres in millilitres?\nAnswer: 88133550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5 - -1) + (-3)\/3. Let d = 9 + q. What is the first derivative of d + 3*h - h - 3*h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeweeggkowkkekoo. What is prob of picking 3 k?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times -0.236?\nAnswer: -1.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.282338 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.016433 and -123.\nAnswer: -2.021259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8085?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -491 - -521. Suppose 4*h + d - 176 = 0, 41 = h - d + 2*d. Calculate the highest common divisor of h and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 208 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.96 + -0.86. Let o be 4\/105*15\/6. Let q = 7 - 12. What is the second smallest value in o, w, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -388.2 and 0.03?\nAnswer: 388.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 6:42 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*p + 48 = -64*p. Let r be 19\/2 + p\/24. Suppose -32 - r = -a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/10*10\/(-4). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**3 + 2*w**2 - 3. Let o be y(2). Let f = 1544 + -1542. What is the second smallest value in 0.2, o, -2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 218, 803, 1786, 3173, 4970, 7183?\nAnswer: 9818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 136 = 134. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 111961 and 1622891?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 0 - -1) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 181 = -37. List the prime factors of ((-20)\/(-3))\/(12\/h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/52 and 27\/503320?\nAnswer: 6543160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + ((-228)\/(-22))\/((-590)\/3245)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12110.92921 + 5.55079. Let q = -12116.6799998 + s. Let i = q - -0.2. Round i to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 755 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 750 or 45705\/61?\nAnswer: 45705\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 2*v + 5 = 0, 187*u - 190*u - 5*v = -40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -67*o**3 + 13*o**2 - 6*o - 14. List the prime factors of z(-7).\nAnswer: 2, 3, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7925, -60832, -204435, -484082, -945121, -1632900, -2592767?\n\"Answer: -7558*h**3 - h - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 5*z**2 - 8*z + 9. Let h be g(6). Let d = 11 - h. Let i = d + 19. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -19201, -19202, -19203, -19204?\n\"Answer: -j - 19200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - (-15)\/(-25)) + (-44)\/10. Let j = 9 - 5. Let d be (0 + (-6)\/8)*j. Sort o, 3, d in descending order.\nAnswer: 3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l**3 - 4*l**3 + 2*l**3)*((0 - 2 + 0)*(4 + 2 - 4) + 1 + 1 + 0 - 3 + 4 - 3)*(3 - 1 - 3) as r*l**2 + h*l + p*l**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**5 - 1312*l**4 + 143856*l**3 - 5314840*l**2 + 4324684*l + 31080696 = 0. What is l?\nAnswer: -2, 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 1857050.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -5 - -5 - (-2 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-95 - 3 - -3) + (13 + -35 - 15) + 42.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2448)\/112 + 22 + -1 + (-400)\/(-434)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -798149550*k - 343719074.\nAnswer: -798149550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a7890 (base 16) in base 10?\nAnswer: 8026256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 - -7. Suppose 3*b = q*b. Is -2\/5 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*y**4 + 20*y**4 + 11*y**4 + (5*y - 2*y + 5*y)*(-y + y + y**3) in the form x*y + l*y**2 + j*y**4 + u*y**3 + s and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 0 + (-1)\/(-2). Sort 1\/7, d, 4.\nAnswer: 1\/7, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53 + -55. Sort -81, o, 2, -1.\nAnswer: -81, o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (66 - 66 + 7*y**2)*(-935026 - 693*y + 935026) + 0*y + y**3 + 0*y in the form f*y + r*y**2 + h + s*y**3 and give s.\nAnswer: -4850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 7 - 10 = 0. Let j(r) = 12*r - 45. What is the hundreds digit of j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41976 = 153*f - 208*f + 624*f + 223*f for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1085*h - 2147*h + 1020*h.\nAnswer: -2212*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -71 + 71.055. Let c = h - 0.1185. What is c rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 6*d. Let m be x(5). Suppose -144 = m*f - 354. Calculate the highest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6962 is divided by 155.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 31*u**2 + 47*u - 125. What is the tens digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 b, and 1 j when four letters picked without replacement from {a: 1, p: 2, b: 3, j: 1, m: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 9526819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10907833*x + 21815286*x - 10907497*x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - i - 6 = 0, -28 = 50*r - 54*r - 2*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6468199001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/5, 1, -0.54 in ascending order.\nAnswer: -5, -0.54, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147732 divided by -6.\nAnswer: 24622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8603, -20191, -31781, -43373, -54967, -66563?\nAnswer: -78161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tm when two letters picked without replacement from magtjujjjagaaut?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 10221522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -8. Suppose 19 = 4*y - q*h, 3*y + 0*h - 14 = 2*h. Solve -y*g - 4*o + 8 = 0, -g - o = -4*o + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21299 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18291 - 6668. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*g + g, 2*d - 2*g = 12. Suppose 5*r = -d*w + 25, -2*w - 3*w - r + 25 = 0. Suppose 2*u = -w*u + 2653. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 21. Calculate the common denominator of ((-2)\/4)\/(p\/(-51)) and -2 + (-4)\/((-192)\/(-436)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17427754?\nAnswer: 2, 17, 512581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 6*p**2 + 7*p + 2. Let f = -367 + 362. Determine w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d. Let o(y) = 761*y**2 + 15*y + 36. Give f(o(b)).\nAnswer: -761*b**2 - 15*b - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4424 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.188717 times 2?\nAnswer: 0.377434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 23358 divided by 4\nAnswer: 11679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times -20?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 21961481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**1*(r*r**(1\/4))\/r*(r*r**6*r)\/(r\/(r\/(r\/(r*r*r**1)))) assuming r is positive.\nAnswer: r**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -141 divided by 4148.\nAnswer: -141\/4148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 3\/20  (b) -1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 5*j + 119 = -3*j + 2*j, -99*c - 81 = -101*c - j for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -3751.072 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/3 + 42224*x**2\/3 + 168920*x\/3 + 168928\/3.\nAnswer: -2*(x - 21116)*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (24\/936*13 - 28\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155338?\nAnswer: 2, 101, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 71719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 7:42 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 46*i**2 - 5*i + 11. Let y(j) = 46*j**2 - 6*j + 11. Let o(b) = 2*n(b) - 3*y(b). Let q be o(-5). Let c = -618 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 21*u**3 + 2*u**2 + 7*u. Let k(l) = -83*l**3 - 9*l**2 - 32*l - 1. Determine 2*k(f) + 9*n(f).\nAnswer: 23*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 9 = 0, -4*v - 7*y + 4 = -3*y. Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.593246 months to years.\nAnswer: 0.1327705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/9 and -69\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69 - 64. Let u = 8 - 5. List the prime factors of 18 + (u - 1 - z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11448\/14 - 14\/(-49). Let y = s - 481. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312237 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 3*p - 19 = -2*p, -3*p = t - 10. Let r(i) = 4*i - 12. Is r(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from mtmtimztmmy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 272651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 25*i - 53. What is the tens digit of z(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*x + 38*x + 3666 = 0. Let h(z) = 2*z**2 - 25*z. Let r be h(13). What is the highest common factor of r and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 1 = 3. Let -4\/9*y**q - 2\/3*y - 2\/9 = 0. What is y?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 11, g: 3, k: 1}. What is prob of sequence nk?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8950?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p + 69 = -5*j, 0 = 4*j - 5*p - 22 - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 827*n + 31627. Determine r(-38).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 23684*o + 8874552.\nAnswer: 4*(o + 402)*(o + 5519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 2*l - 6. Let i(s) = -s**2 + 212*s - 1068. Let g be i(5). Sort -3, l, g in ascending order.\nAnswer: g, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/5 - ((-42)\/30 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13482*z**2 - 13483*z**2 + 40421*z**2 - 13481*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + l = 10, -2*r + 13 = 3*l - 3. What are the prime factors of (22\/4)\/(r\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*((-841951445)\/88 + -1). Let z = 9567738 - p. Let a = -1065\/11 + z. Find the common denominator of 7\/2 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(243)*-3 + -4)*5 + ((-1*sqrt(243))**2 + 5)*1).\nAnswer: -912 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 54 - 62 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 245 - 60 = 3*q, -5*q - 3*w = 503. Let h be 0 - 4*2\/q. Is h at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*r = -1437 - 5572. Find the third derivative of -323*p**2 - r*p**5 + 11969*p - 11969*p wrt p.\nAnswer: -9780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 10*m**2 - 9*m + 7. Suppose -5*k + 0*k = 55. Let n = -2 - k. Is 4 a factor of v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 154, 307, 460, 613, 766?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 400\/3 or -1\/27?\nAnswer: 400\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -322 - -341.6. Let o = q + -19.9. Which is the biggest value?  (a) 0.2  (b) o  (c) -3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(605)*2.\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.52 - -2.62. What is the nearest to -1 in 0.2, 0.4, w, 0.15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 2*j = -20, -7*l - 1369*j + 17 = -1370*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l + 1010 - 200 = 0. Solve -4*r - l = 6*i - i, -15 = 5*r - 2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-882)\/(-36)*(-2)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*(-2*sqrt(475) + sqrt(475) - sqrt(95)\/(sqrt(10)\/sqrt(2)))**2 + (sqrt(133) + (sqrt(133) + 5*-1*sqrt(133) - sqrt(133)))\/(sqrt(63) + -2*sqrt(63))).\nAnswer: -8208 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 6 + 1 + 0 - 2. Let v(j) = -3*j - 21. Let n(c) = -2*v(c) - 9*z(c). Does 5 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -511, -1252, -1993, -2734, -3475?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/8)\/(1\/4). Let z = -6\/25 - -67\/175. Which is the third biggest value?  (a) -0.3  (b) z  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6603831 to the power of 1\/2, to the nearest integer?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-116)\/(-88) + (2 - 3))\/((-2149)\/(-1228))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 65, 87, 109, 131, 153?\n\"Answer: 22*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 6 - 5*q)*(5 - 5 - 5)*(4*q**2 - 3*q**2 + 12*q**2)*(q - 2*q + 4*q) to the form w + m*q**2 + t*q**4 + s*q + n*q**3 and give t.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**3 + 96*r**2 - 1440*r + 6400 = 0.\nAnswer: 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -19. Let b(j) = -72127 + 144243 - 5*j - 72121 - 3*j - j**2. What is b(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -826 + 866. Solve d*z + 7 - 7 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11159717 to the nearest integer?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 86\/(-5) + 2\/10. Let f = w - -30. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oeeozoozeoze. What is prob of picking 2 e and 1 z?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*n + 38*n + 5*t = 55, -2*n - 25 = -5*t for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((4*(sqrt(133) - -6*sqrt(133)*-2 - 2*sqrt(133)*-2))\/((-1*sqrt(77)*-1)\/(-4*sqrt(44))))**2.\nAnswer: -1906688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1004, -2857, -5936, -10235, -15748?\nAnswer: -22469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -18*n. Let g(j) be the third derivative of j**5\/60 + 24*j**2 + 2. What is g(s(w))?\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 350429170 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 1\/89?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10253.292 - -10233. Round n to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -9 - 11 + k - 3*k**3 + 18. Let n be m(-2). Solve -f - s = 4*s + n, f - 25 = 4*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of 0*d**2 + 0 - 7\/6*d**3 + 8*d. Let j(a) = -2*a. What is l(j(m))?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 49248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-575))\/(3\/(-15))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.8 + 0.2. Let n = h + 0. Let c = 1.9552 + 0.0448. What is the biggest value in n, 2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3 - 3 + 2*i**3 - 2*i**3 - 105*i**2 + 14*i - 209*i - 92.\nAnswer: -5*(i + 1)**2*(i + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17675328 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22561 and 59479.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u - 7. Let h be d(-7). Is 8 a factor of -1 + h + 14 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 76 - 76.4. Let x = 189 + -1320\/7. What is the second biggest value in -3, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6666?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 10, t: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 14, h: 5}. What is prob of picking 1 y and 1 h?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p + 8. Let a be l(4). Round a to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m - 9 + 9)*(-4*m + 10*m + 5*m).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-22)\/12 - 2\/12. What is the tens digit of (n + -1)*13\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**4\/24 - 4*n**2. Let m(t) = -6*t. What is -m(c) + 5*r(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 + 2*o**3 - 2*o**4 + 6*o**4 - 2*o**4 + 6*o**4 + (-243 + 233*o - 233*o - o**2)*(-3*o**2 - o**2 + 5*o**2).\nAnswer: 7*o**4 - 243*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, 0.26, 2\/19, -0.4, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 2. Solve -4*k - 17 = -5*t, -3*t + 4*k = d - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 - 8. Let w(l) = -2*l**2 - 5. Let p(i) = -5*g(i) + 8*w(i). Let r(v) = -v - 3. Determine p(r(u)).\nAnswer: -u**2 - 6*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -6008?\nAnswer: -6004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 1404480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-64)*8)\/((-84)\/(-16))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 55 = 5*q. Suppose -q*o = -9*o - 78. Let a be 40\/80 - 155\/(-2). What is the highest common factor of o and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + 3 - -4 - (-18 - (-74 + 47))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 231\/3 + -5 + 4. What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*-1))**2 + (sqrt(55) - sqrt(55)*-5)\/sqrt(5) - (sqrt(891) - (-1 + sqrt(891)*-1) - (-2 + sqrt(891) + -3 + sqrt(891)))**2.\nAnswer: -25 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 1673 = 3*i. List the prime factors of i.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 3*f - 200 = 2*f, -204 = 4*j + 4*f. Let s = j + 57. Suppose -5*h - 15 = 0, -s*v + 4*h - h = -253. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 4*u + 103 = 2427, 2*u - 390 = -k. What are the prime factors of k?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 247 and 65474?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + (-1 - -8) + (-8 - 8).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 22022 (base 4) to base 6\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 35*t**2 - 3*t - 3. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*b + 248*b = 232*b - 107*b + 5359 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 17*b**2 + 46*b + 69. Determine h(8).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {g: 4, x: 4, d: 7}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-68)\/140 - 10\/(-35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*x + 270 + 117 = -65*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -324.52 - -338. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6003*w - 299. Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 116 = -446. Suppose m = -3*t - 2*t. Let u = -13 - t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of 1\/3*b**6 + 0*b + 0*b**3 + 2 + 0*b**5 + 1\/2*b**2 + 0*b**4. Find the second derivative of i(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 62 = 5*t + 63, -c + 93 = -4*t. Does 20 divide (32\/(-12))\/(t\/2475)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5008\/9390*(-6)\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 s when four letters picked without replacement from srsrsskksr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 18 = 51. Let v = h + 66. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) - (1 + (sqrt(605) - sqrt(605)*2)) - (2 + sqrt(605) + -3))**2 - (5 + (sqrt(5) - (-2*sqrt(125))**2) + (sqrt(5) - 6*sqrt(15)\/sqrt(3))**2 + -2).\nAnswer: -sqrt(5) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 4059, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00053741 rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 7*i + 4. Let y be p(7). Suppose 3*o - y*z = -0*o - 14, -2 = 4*o + 3*z. Let q(b) = 5*b - 2. Calculate q(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + 10. Let h = 19 - a. What is the remainder when (-1)\/((2\/2)\/h) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1982342905?\nAnswer: 5, 396468581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/3 + -1 + 16 + (-772)\/(-12). Which is bigger: j or 55?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47444290 divided by 23722145\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35341784\/1849 + -19114. Do -1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6087 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 6*w**2 - 6*w - 1. Let o(k) = 7*k**2 - 7*k - 1. Give -5*o(d) + 6*u(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -13*x**2 + 11*x - 13. Let q(w) be the second derivative of 7*w**4\/12 - w**3 + 7*w**2\/2 + 17*w. Determine -11*q(i) - 6*z(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 6*q = 0. Let x(y) be the second derivative of -24*y + q - 7\/6*y**3 - 1\/2*y**2. Let k(l) = l. Determine x(k(b)).\nAnswer: -7*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**3\/5 - 190788*t**2\/5 + 1526064*t - 15259840 = 0. Calculate t.\nAnswer: 20, 190748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 6*n + 1. Let j be m(-6). Let y be j\/(2 - 3\/2). What is the derivative of 38*x**2 - 2 - 23*x**y - 11*x**2 wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + 0.2. Let j = -1021 + 1021. Which is the nearest to j?  (a) 1  (b) 5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*m + m + 14*m.\nAnswer: -80*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 520 + -518. Solve l*m = -m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66120 (base 7) in base 8?\nAnswer: 40217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/14*(-9351)\/(-121563).\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70311, -141440, -212563, -283680, -354791?\nAnswer: -425896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850443.\nAnswer: 3, 11, 25771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14083, 56336, 126751, 225328, 352067?\n\"Answer: 14081*s**2 + 10*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8.51 * -119\nAnswer: -1012.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of -p**4\/20 - 482*p**3\/5 - 348486*p**2\/5 + 208*p + 2. Factor x(h).\nAnswer: -3*(h + 482)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/(1*(-3)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in 0.05, 0.1, -2\/1637, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1292)\/13566*(-735)\/(-42).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(21 + 22*j - 21) - 15*j + 0*j - j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 893 divide 20664020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 974*z**3 + 3*z**2 - 1947*z**3 + 963*z**3 - 2*z**2.\nAnswer: -10*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of w**5\/120 - w**4\/4 + w**3\/3 - 2*w**2. Let f(q) be the first derivative of h(q). Let d be 9 + (-2 - (-1 + 3)). Calculate f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 993.3389l in millilitres?\nAnswer: 993338.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -15*y**2 - 4*y - 2. Let p be a(-3). Let f = p + 319. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -233 + 238 - -1*445*59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of q**5\/5 - 17*q**4\/12 - 5*q. What is the third derivative of z(u) wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, o: 1, w: 1, e: 2, s: 2, f: 2}. What is prob of picking 3 z and 1 o?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1365 + -721. What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m**(10\/3)\/m*m)\/m*(m*m*m\/(m*m**(-2)*m*m*m)*m*m)\/m)**(19\/3) assuming m is positive.\nAnswer: m**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.14318614 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.0487 + 0.0487. What is the nearest to -1\/3 in 3, -0.3, f, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2389*t - 340*t - 2479 - 43914 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 4 = -3*v + 42, 0 = 5*v - 5*y - 90. Suppose -1 = 4*z + q - v, -4*z + 5*q = -21. Differentiate 3 + 5*t + 4*t - 2*t + z wrt t.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.0012  (b) 35\/6  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8.799?  (a) 2  (b) 5  (c) 3\/4  (d) 1\/2  (e) -1\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 1)*(-95)\/15. Suppose 0 = -h*w + 17*w + 6. Solve -21 = -w*x - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2406712*g**3 + 92*g**2 + 290874610 wrt g?\nAnswer: 7220136*g**2 + 184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 + 54. What is the biggest value in x, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18.94019km to millimeters.\nAnswer: 18940190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3242902 + -599?\nAnswer: 3242303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -6. Let g(j) = -2 + 6 - 8*j + j**2 + 5. What is g(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 9 - (1 + 5 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1884250 - -1078.\nAnswer: -1883172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.49 and -3?\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 970 + -7761\/8. What is the third smallest value in 1\/3, a, 1, -16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 12020231322033?\nAnswer: -12020231322101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*l = -25*l + 78*l - 308. Which is the second biggest value?  (a) -4  (b) 5  (c) 0.17  (d) l  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) 6\/5  (c) -0.26591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34906903?\nAnswer: 1237, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 24*w**2 - 12*w**2 - 13*w**2. Let b(c) = 132*c. Determine i(b(d)).\nAnswer: -17424*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 124 + -137. Let m(t) = t**3 + 14*t**2 + 15*t + 27. Let d be m(q). Calculate the greatest common divisor of d and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 401167.2 weeks?\nAnswer: 67396089.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**29\/((u*u**(-39))\/u)*u**7*u**(-1\/15)*u*u*u)**(5\/13) assuming u is positive.\nAnswer: u**(1169\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**11*x*x**(-2\/9)*(x\/(x\/(x*(((x*x**(2\/5)*x)\/x)\/x)\/x*x*x)))**13 assuming x is positive.\nAnswer: x**(1934\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.2 - -0.2. Let a = 7.7 + v. Put 0, a, 0.5 in increasing order.\nAnswer: a, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from edfkkdvvkvddkok. What is prob of picking 1 k, 1 e, and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 + 16. Let p = 23 + o. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 222 a factor of 103104970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/(-1)*2*(-3)\/288 and 121\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -3973?\nAnswer: -11919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -105370 times -0.5?\nAnswer: 52685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/7*3\/(-6)*60723\/(-11245)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39 + 41. Suppose k = -r*k + 9. Suppose 7*c = -k*c + 750. Calculate the highest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 1 - 1 + (-5*m + 2*m + m)*(1 + 2 - 6) + 1 + m - 1)*(0 - 1 + 4).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134\/399 - 6\/133. Calculate the common denominator of 139\/78 and g.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, -2\/9, 0.3, 7, 0.1, -634?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37029135, 37029134, 37029133, 37029132, 37029131?\nAnswer: 37029130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -3  (b) 46  (c) 7  (d) -0.016  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -4, -10054?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-1\/17))*x*x**(-2\/13)\/x)**(3\/7) assuming x is positive.\nAnswer: x**(-9\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -8*o + 15. Suppose -o*r - l = -222, r + 123 = 4*r + 4*l. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 112*m - 27*m - 1948 + 333 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**6\/30 + 3*s**5\/20 + s**4\/4 + s**3\/6 - 14*s. Solve g(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68503211 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.010226 - -4.010226. Let l = -7 + -24. Which is the closest to l?  (a) i  (b) 0.2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2111222 + -3?\nAnswer: 2111213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/10)\/p*p**(2\/37)*(p**(-2\/7))**12 assuming p is positive.\nAnswer: p**(-11589\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 297.13985 times -0.3?\nAnswer: -89.141955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/6*12\/4. What is the units digit of 1*(-1 - s - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.872 or 224\/15?\nAnswer: 2.872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9970?\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 1395 + 1403 = -5*v, 5*s = 5*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47447767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11  (b) -3814.18  (c) 0  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/21  (b) 4  (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8446 divided by 103.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*a = 114 - 474. Solve a*f + 136 = 208 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 6*a. Let j(n) = 36*n**2 - 44. Let x(s) = -5*s**2 + 5 + 4 + 3 - 6. Let g(d) = 6*j(d) + 44*x(d). Calculate v(g(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4234418, 8468836, 12703252, 16937666?\n\"Answer: -z**2 + 4234421*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 183, 203, 237, 285, 347, 423?\n\"Answer: 7*z**2 - z + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j**2 + j + 1. Let n be u(-1). Suppose 0 = v - 7 - n. What is the greatest common factor of 70 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3 + 486148*n**2 + 486146*n.\nAnswer: 2*n*(n + 1)*(n + 243073)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + 0. Let g = 32 - 32.1. Let o = -1.2 - -1. Put g, o, y in descending order.\nAnswer: y, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45217316*v + 18895836 wrt v?\nAnswer: 45217316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + 111*h - 339. What are the prime factors of m(94)?\nAnswer: 11, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 33*y - 221. Let p be u(23). Let s be (-15 + p)\/30 + 138\/15. Suppose -107 = 2*h - 305. What is the greatest common divisor of h and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 5*f**4\/12 + 85*f**3\/6 + 180*f**2 + f + 466. Factor w(q).\nAnswer: 5*(q + 8)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 101111 (base 3) in base 8?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + (-26)\/18)*1\/(-6). Let m = 3 + -2. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -0*g - 3*g + 45, -4*o = -3*g - 81. Let v be (-3)\/(-6)*2*13. Let u = o - v. Solve -2 = 2*t + 2*a, -a - 35 + 16 = -u*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11046, 0.4, 1, 5.\nAnswer: -11046, 0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26.0557 + -0.0443. Let w = q + 26. Let l = 418 + -409. What is the nearest to -0.1 in -0.2, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 288158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*b = -116*b - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 8*k - 36. List the prime factors of (-9)\/6*(-60)\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 6969 = 2*s - 3*c, s - 2351 = 3*c. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 11. Suppose -10 - 10 = -4*s. Suppose 9 = s*a - 2*a. What is the remainder when f is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 346749062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 360 = 3*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174023588 take away -341.3?\nAnswer: 174023929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2403 = -5*k - b, 4*k + 5*b - 3156 = -1221. Suppose -6*y = 2*y + k. Let i = y - -92. What is the lowest common multiple of 7 and i?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51573, -51567, -51561, -51555, -51549?\nAnswer: -51543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*y + 256*y - 9188721 - 14195351. What are the prime factors of y?\nAnswer: 2, 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 - ((-1 - 7) + -21 + 43 + -16 + -3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t + 369. Calculate the smallest common multiple of q(-13) and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-96)\/(-64)*233\/2. Let a = v + -175. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**3 + 24*k**2 + 29*k. Let c be i(-8). Suppose 2*p + 5*v = 32, 54 = 4*p - c*p + 5*v. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**3 - 284*j**2 + 440*j - 22287. Calculate d(141).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -13*z - 51. Let r = -67 - -60. Let d be g(r). Let y = d - 31. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1436 - 1432. Sort 1\/6, 0, -1, 2\/3, j.\nAnswer: -1, 0, 1\/6, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 174.83415093 - 174.98315. Let s = l + 0.149. Round s to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-1))\/((-840)\/(-630)*7\/(-168))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 - 159 = -5*i + 4*b, 0 = -2*b. Let g(n) = -66 + n + i. Let d(o) = 11*o**2 + 2*o. Calculate d(g(m)).\nAnswer: 11*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 2*h + 5. Let d be 2 + (1*-556)\/(-4). Suppose 2*r + 3*v - 73 = 0, 8*r - 4*r + v = d. What is the highest common divisor of r and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wyyifis. What is prob of picking 1 s, 1 w, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36370*z**3 - 1956*z**3 - 129356*z**3.\nAnswer: -167682*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 58?  (a) 0.4  (b) -4\/7  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 240336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10837, -23637, -38399, -55117, -73785, -94397, -116947?\nAnswer: -141429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1\/8, -0.1, 1, -38\/229 in ascending order.\nAnswer: -38\/229, -1\/8, -0.1, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -613756, -613751, -613740, -613723, -613700, -613671, -613636?\nAnswer: -613595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**2 - 160*l - 899. What is u(-74)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39666 and 2387.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2692197*d**2. Let l(p) = -5*p**2. Calculate l(g(z)).\nAnswer: -36239623434045*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is -180 times -3?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t. Let n(d) = -44926*d. Determine n(y(s)).\nAnswer: 44926*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 - 260434*i - 781304\/3.\nAnswer: 2*(i - 390652)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 65395 divided by 1595\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -175, 22, 31, 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 175 - 1227\/7. Suppose 0 = -3*i + 5*u + 62, 4*u + 10 = 30. Suppose 5*a - v = -0*a + i, 2*v = -4*a + 12. What is the nearest to -2\/3 in z, 0.4, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2691 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5876505407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 1010111110011011101001?\nAnswer: -1010111110011011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/69147855 and -43\/126.\nAnswer: 138295710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d - 23. Determine t(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 268.792l?\nAnswer: 268792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*n**4 + 2*n**3 + 49*n**2 - 17*n - 3981029 wrt n.\nAnswer: -56*n**3 + 6*n**2 + 98*n - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 + 4)*188\/3. Let l = -112 - g. Calculate the remainder when l is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - -2) + -1 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 479164.8 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -948 and 8295.\nAnswer: -7863660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 2221451?\nAnswer: 2221447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of 1\/9*p**3 + 0 + 1\/126*p**7 + p**2 - 1\/120*p**6 - 7\/180*p**5 + 1\/24*p**4 + 0*p. Factor g(l).\nAnswer: (l - 1)**2*(l + 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*(-46)\/23*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11445640 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -167\/5 - -33. Which is the smallest value?  (a) -1  (b) w  (c) 0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 13) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmzm when four letters picked without replacement from {z: 5, m: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531362 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1022*l**5 - 2*l**4 + 9578*l**2 - 113*l + 2262650.\nAnswer: -20440*l**3 - 24*l**2 + 19156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/(-92))\/(((-3)\/1)\/(-15)*(-455)\/(-32396)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2 - y + 8. Let a be c(2). Let q(v) = 92*v**3 + 2*v - 7. Let s(d) = -184*d**3 - 4*d + 13. Let g(o) = a*s(o) - 11*q(o). Is g(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66096?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*d + 28*d + 5 = -5*l, 3*d - 4 = 4*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10215, -10155, -9987, -9657, -9111, -8295, -7155, -5637?\nAnswer: -3687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*b**4 - 4*b**2 + 9*b**4 - 24*b**4 wrt b.\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10917881 to the power of 1\/2, to the nearest integer?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 1780*f - 1081. Let b be k(1). Which is smaller: b or 710?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 12. Let r = -3.4 - -3.7. Which is the closest to 1\/2?  (a) 4  (b) i  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -0.5, -6\/29, 3?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11140.\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 3*m - 2*m)*(-7*m - 5*m - 10*m) - 245*m + 2 + 245*m + 17*m**2 - 2*m**2 + 2*m**2 + 3*m**2.\nAnswer: 86*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010100100000110 (base 2) to base 16.\nAnswer: -22906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -99*h**2 + h. Let i(k) = 13709*k. What is a(i(u))?\nAnswer: -18605731419*u**2 + 13709*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21305274 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((90\/(-40))\/3)\/((-2)\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -47*b**5\/5 - 2111*b**4\/12 + 338*b. Find the third derivative of r(x) wrt x.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1279.02 + -1266. Let c = 13 - g. What is the nearest to -1 in -0.3, c, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -2\/5, -15 in descending order.\nAnswer: -0.1, -2\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-2*-5 - (sqrt(119) - (-1*sqrt(119)*3 - sqrt(119))))\/(sqrt(7) + sqrt(252)*2 - (sqrt(378)\/sqrt(6) - sqrt(63))\/sqrt(9))*4.\nAnswer: 20*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -1.2.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 982.515ug in grams?\nAnswer: 0.000982515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p + 4. Let i(b) = -2*b - 5. Give 6*i(z) + 7*n(z).\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1034\/(-1128) + 6\/(-12)*(-1 + -1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -72, -163, -264, -375, -496, -627, -768?\n\"Answer: -5*a**2 - 76*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 532*p**3 + 3*p**2 - p + 5. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3*p - 2*p - 40, -p + c = -40. Suppose -74*u - p = -76*u. What is the greatest common divisor of u and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -134, -768, -1826, -3308, -5214?\n\"Answer: -212*z**2 + 2*z + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2435, -4870, -7305, -9740, -12175?\n\"Answer: -2435*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - -13. Suppose f = -3*f + 8. Let l = 0 - 0. Solve -2 = -f*p + 6, -v + 5*p - j = l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 981\/6)*(-317661 + 61). Round p to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 at least as big as -2\/1169799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 15*d - 4. Let s(m) = 29 - 121*m + 27 - 23. Let c(f) = 4*s(f) + 33*w(f). Give c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*o**3 - 11*o**2 - 5*o**2 + 16*o**2 - o**5 + 35*o**4.\nAnswer: -o**3*(o - 34)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -42*t**3 + 753*t**2 + 1630*t + 415. Let v(w) = -w**2 + 2*w + 3. Let j(o) = -c(o) + 5*v(o). Suppose j(z) = 0. What is z?\nAnswer: -5\/3, -2\/7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 558*g**2 + 330*g + 15. Let r(z) = z**2 - 22*z - 1. Give 3*q(h) + 45*r(h).\nAnswer: 1719*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 41 = -151. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 - 36. What is the third derivative of 8*n**z + 17*n**2 + 5*n**5 - 7*n**2 wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 123*a + 9. Let m be u(5). Let h be m\/15 - 4\/(-10). Let q = -18 + h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-6) + 88\/66. Solve -k*m - 3*l = -7*l + 3, 11 = -m - 2*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 22 - 34 = 0. Let a be q*4\/(-120) - 4\/30. What is the smallest value in a, -1\/14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4502\/3 - -1484. Let t = 26609\/10 + -2667. What is the common denominator of t and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6828, 13616, 20404, 27192, 33980?\n\"Answer: 6788*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/2 in -2\/23, -1\/4, 0.257?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 313*w**4\/12 - w**3\/6 + 75*w**2 - 18*w. What is the second derivative of b(x) wrt x?\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 87525*n - 700206. Determine f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((5 - 6)*6)\/1. Let o(w) = w**2 + 2. Let k(j) = 3*j**2 + 5. Give i*k(m) + 17*o(m).\nAnswer: -m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -589, -920, -1067, -1030?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttsttstttttttsttst. Give prob of picking 1 t and 3 s.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02081 and -3?\nAnswer: -0.06243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*p - 16, 2*m - 16 = -2*p - 2*m. Solve 6*x + p*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 1835 = 362*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -102  (b) 0.1  (c) 5\/3  (d) 2  (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - 14)*(-3)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/12, 0.8, -0.3, 4\/2823?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-2052)*(-4 + 2). Which is the second biggest value?  (a) o  (b) -0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0474 + 0.9526. Put -1\/3, p, -11 in decreasing order.\nAnswer: p, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 17. Let v be l(-13). Suppose a - 174 = -v*u, 2*a = -u - 3*a + 34. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - 1) + (-3 + -8 - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -p + 3820006, -3819998 = -p + 6*s - 5*s. What is p rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 2.14, -2\/19, 1, 363?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 89572 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, s: 2, w: 1, x: 4, a: 2}. Give prob of sequence sx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3429 + 3630. Calculate the remainder when 385 is divided by y.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -130 - -248. Find the common denominator of (t\/30)\/(176\/220) and 99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6922, -6920, -6918, -6916, -6914, -6912?\nAnswer: -6910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -30  (b) 4115  (c) -2\/243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 5*s + 3. Let a be n(-6). Suppose -94 = -3*y + 2*w, 0 = y + 4*w - a - 13. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7, -35, -77, -139, -227, -347, -505, -707?\n\"Answer: -d**3 - d**2 - 18*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c - 14. Let a be q(-11). Let d be ((-2)\/(-4))\/(a\/6). Let s be (9\/1 - d)\/2. Solve -4*f - 3*t - 4 = 0, -5*t = 4*f - s*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -428*l = -106*l - 930*l + 19456 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-2 + -4 + 6) - 11 - -12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 220 and 53460.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -263, -271, -283, -299, -319?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -2*b. Let c = -11 + 15. Solve 0 = w + c*h + 5, b*w + 3*w + h = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15.33 - -8.877. What is k rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/6)\/((-12)\/(-46854)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 15, -1188, -1, -3, -15 in decreasing order.\nAnswer: 15, -1, -3, -5, -15, -1188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 1577314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 274.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 228943, 457844, 686745, 915646, 1144547?\n\"Answer: 228901*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 6:08 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20230*b**3 - 14104*b.\nAnswer: 121380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*k*t**5 - 4*k - 4*t**6 + 2*t**2 wrt t.\nAnswer: 1560*k*t**2 - 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13783)\/(-22))\/(3\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -10*b**2 - 3*b + 3. Let p(o) = o**2 - o + 1. Let a(x) = -2*d(x) + 6*p(x). Let q be a(3). Calculate the highest common divisor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29638, -40836, -52034?\nAnswer: -63232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**2\/9 + 152*n\/3 + 148 = 0. What is n?\nAnswer: -111, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -107*t + 112. Let s be f(-4). Let u = s + -157. What are the prime factors of u?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 150054 and 158331.\nAnswer: 88982022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(4\/15))\/((-369)\/123).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3*r. Suppose -5*k + g = -13 + 7, -4*k - 12 = -5*g. Give q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**4\/12 + o**2 - 2*o. Let f(q) be the first derivative of m(q). Let d(a) = a. What is f(d(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m - 2*m**2)*(-1 + 0 + 4)*(17 - 45 - 10)*((-2 - 4 + 4)*(-1 + 1 - 1) + 4 - 5 - 2)*(-7 + 7 + 4*m).\nAnswer: -912*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/4)\/u)**(-9)*(u**(1\/5)\/u)**(6\/19) assuming u is positive.\nAnswer: u**(5889\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/(-4))\/(15\/(-12)). Suppose 5*s = -14 + 4. Let m be (4\/2 - 4)\/s. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-60)\/(-160))\/((-9)\/6*3). Let r = -0.03 + 6.03. Let x = 9 - r. What is the nearest to 3 in 0.3, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-7)*h*h*h*h*h\/(h**13*h))\/((h*h\/((h*(h**(1\/10)*h)\/h*h)\/h))\/h**(5\/3)) assuming h is positive.\nAnswer: h**(-457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 7*h - 11. Let r be w(4). Let f be 5\/(-10)*(-3 - 1)\/r. Calculate the greatest common factor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(1\/17)*j**(1\/38) assuming j is positive.\nAnswer: j**(55\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 0*k + 0 + 3\/5*k**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35000 + -20571. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**2 - 73527*o - 147042 = 0.\nAnswer: -24507, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence la when two letters picked without replacement from {h: 4, a: 3, d: 1, l: 1, z: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 262 a factor of 79779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u = 27*u - 1517. Solve u*d - 27 = 28*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 139 + -11. Let j = -86 + c. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*a = 173, -a - 168 - 592 = -4*c. What is the remainder when 1143 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3.159 or -33478?\nAnswer: 3.159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 633*i**2 - 1853*i**2 + 632*i**2 + 594*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 12 - (0 + 0 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -16. Suppose 0 = 3*b + 2*s - u, 5*s = 2*b + 3*s - 10. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 18 + 8 = -2*i, i + 11 = -2*h. Let c be (i\/(-9))\/((-1)\/3). Let j be (8\/20)\/(c\/(-5)). Solve 0*p = j*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32731*0.2.\nAnswer: -6546.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -105*w - 119576. Let d(x) = -2*x**2. Give t(d(h)).\nAnswer: 210*h**2 - 119576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 88 + 100 = 0, -2*w = 5*z - 66. Calculate the highest common divisor of 7248 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4584215 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 174 + 2711. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, b: 3, e: 1, p: 5, j: 6}. What is prob of picking 1 j and 1 p?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 590.673447 minutes?\nAnswer: 0.05859855625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 462031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3502341 (base 6) to base 9\nAnswer: -303087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (5 - 2)*(2276\/336 + -7) and -79\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 42791.66kg?\nAnswer: 42791660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4607, 14323, 30503, 53153, 82279, 117887, 159983, 208573?\n\"Answer: t**3 + 3226*t**2 + 31*t + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93702 divided by 138.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 10*z - 77. Let j be u(8). Let l be j\/12*68 - (-1 - 0). What is the highest common factor of l and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*o - 122 + 11, -4*o + 4*f - 264 = 0. Let z be 37821\/(-27) + 14\/o. Let m = 3979 - z. What is m rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 1019*q + 2731. What are the prime factors of x(27)?\nAnswer: 2, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1220311133 (base 4) to base 16.\nAnswer: -68d5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 9926*g - 29780. Determine h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 4) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 211724 + 211724 + 3*a**3 + 211734 - 635182 - 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, 30\/23, -2?\nAnswer: 30\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2406 - -2406.0000002673. What is i rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 272.7367 micrograms to grams.\nAnswer: 0.0002727367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -68, -65, -60, -53?\n\"Answer: c**2 - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1923 = -75*u + 16 - 880 + 2166 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1281 + -577. Calculate the highest common factor of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1566 = 27*r + 4*r - 5688. What is the greatest common factor of 806 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 7\/2318, -6\/7, 0, -4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjqqqjqqqq. Give prob of sequence qq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - x - 136 = 0, 2*y - 66 = -0*y + x. Suppose -u + 9 = 3*q, 5*q = 2*u + 3*u + y. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -7, 21 in decreasing order.\nAnswer: 21, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -473, -768, -1063, -1358, -1653?\n\"Answer: -295*g - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 2*b + 26 = 0, -18*i + 19*i + 18 = 2*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 - 78. Let y = m + 31. Let l = y - 7. Solve -l*n - n + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 4*n - 28 = 0, -2*k - n = -2*n + 1. Is k smaller than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 7*d - 9. Let y(j) = 3*j**2 + 11*j - 13. Let s(g) = 7*n(g) - 5*y(g). List the prime factors of s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 76*h**3 - 1193.\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -204.8975367 rounded to the nearest integer?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4145 = -730*z - 25315 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -142.99998751 + 143. What is o rounded to 7 decimal places?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2\/3 + 490*y\/3 + 3136 = 0. Calculate y.\nAnswer: -224, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**9)\/y**(-3\/4))**(9\/7) assuming y is positive.\nAnswer: y**(387\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a*m**5 + a*m**4 + 2084*a*m**2 + 149640*a*m wrt m.\nAnswer: 60*a*m**3 + 12*a*m**2 + 4168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/16)\/((-56)\/((-7)\/1)))\/((-8)\/(-16))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 8:34 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55794 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16394 is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + -2 - -2)*(-1 + 1). Factor -2\/3*t**5 + 4\/3*t**2 + 0*t + 2*t**3 + 0 + z*t**4.\nAnswer: -2*t**2*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63 by -965.\nAnswer: 63\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.1635 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 249 - -254. Let q = -478 + w. Calculate the greatest common factor of q and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65 - -32. Let g = -30 - u. Let f(z) = -3*z**3 + z**2 - 4*z - 4. Let x(l) = -13*l**3 + 3*l**2 - 17*l - 16. Let t(r) = 9*f(r) - 2*x(r). Calculate t(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 12 = 0, -4*i + 3*y = -5 - 4. Suppose 5*t - 50 - 145 = i. Let k = t + 20. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 0*d - 7\/60*d**5 + 1\/120*d**6 + 0 + 2\/3*d**3 - 1\/3*d**4 + 5*d**2. List the prime factors of o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -104\/7*x**2 - 96\/7 + 36\/7*x**3 - 208\/7*x + 4\/7*x**5 + 32\/7*x**4 = 0.\nAnswer: -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63584?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2 + 8*c**2 + 0*c**3 - 13*c**2 - 4 - 4*c**3 + 2*c + 3*c**3. Let a(z) = z**3 - z + 1. What is 2*a(g) + u(g)?\nAnswer: g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 8*r**2 + 0 - r**2 - 6*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286*p - 2808 = 262*p. Let g = 872 + p. What are the prime factors of g?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0409 * -81\nAnswer: -3.3129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -40*w + 11*w**3 + 19*w + 18*w + (5 - 5 + 4*w)*(-w**2 + 5*w**2 - 2*w**2).\nAnswer: 19*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.26011 + 0.06011. What is the second smallest value in -5, p, -1\/3, 174, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048693 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/5 - 16*r**2 - 1\/5*r**5 - 2*r**4 - 8*r**3 - 16*r.\nAnswer: -(r + 2)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5*(-3)\/(-6)*2. Suppose 3*b - 1 = 5*a - 0, f = b + 3*a. Find the second derivative of 2*i + 2*i + 3*i**5 - b*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 128 = -0*b. Let s be b\/20 + 2\/5. Suppose -5*g - 3*a + 9 = 0, s = -5*g - 2*a + 8. Sort -1, 1, g in descending order.\nAnswer: 1, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 6 + 3 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -98 - -86. Let q = j - -29. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24\/20 - 2209\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 65, 87, 97, 89, 57, -5, -103, -243?\n\"Answer: -s**3 + 29*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 20. Let y be z(7). Suppose 0 = g + 4*g + 50. Let n = g + y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*3\/3*(176\/539)\/8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2932 - -2929.5421. Let t = 4.5473 - n. Let b = -7 + t. Round b to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1452)\/66)\/132)\/((220\/135)\/(-4))?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1221861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5019264 divided by -34856\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16074 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -796*z + 12201. Give l(16).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -96  (b) -12.27  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2464 and 451088.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 47*c + 7. Let q(z) = -1. Let k(o) = -3*l(o) - 24*q(o). Let y(x) = -x**2. Determine y(k(v)).\nAnswer: -19881*v**2 + 846*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 501*g = 466*g - 70 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8 + (-124)\/(-48)*3. Put l, -5, -2\/9, 0.05 in ascending order.\nAnswer: -5, l, -2\/9, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of i**5\/60 + 5*i**4\/8 + i**3\/2 - 2*i**2. Let z be n(-15). Solve y - 9 = -z*d, y + d + 9 = 4*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3421*x + 3415*x - 30 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 262344 (base 7) to base 16\nAnswer: bef5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - 2. Let a = u + 7. Suppose -a*s - 5*w = -245980, -s - 2*w + 17048 + 64944 = 0. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27641\/4 - -6954. Which is smaller: 44 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 788 - 518. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5 + 44*r**2 - 3*r**3 + 7*r - 29*r**2 - 22*r**2. Let h(y) = -8*y**3 - 20*y**2 + 20*y - 14. Let g(k) = 11*b(k) - 4*h(k). Factor g(f).\nAnswer: -(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(17) + sqrt(17) + sqrt(51)\/sqrt(3))**2 + (sqrt(2057) + sqrt(2057)*1)**2)*-6.\nAnswer: -50436 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 6)*(23*c**3 - 26*c**2 - 12*c**3 - 13*c**3).\nAnswer: 2*c**3 + 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -21*z**2 - 5*z. Let f(p) = -21*p**2 - 4*p. Suppose 0 = 4*m + 1 - 17. Let b(a) = m*g(a) - 5*f(a). Let c(v) = -14*v + 14*v + 2*v**2. What is b(c(u))?\nAnswer: 84*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21697 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 9*t**2 + 15*t - 3. Let b be p(7). Let k be ((-44)\/(-3))\/b + 6\/(-9). Factor 147*x**3 + 9 + 3*x**2 + 146*x**3 - 15*x - 290*x**k.\nAnswer: 3*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24666 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, 26.5, 1660?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25325 and 207406685.\nAnswer: 1037033425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 9:02 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {m: 2, y: 1, g: 1, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -5*y + 6*u + 45, -4*y - 2*u = -6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/3)\/f**12)**(-38) assuming f is positive.\nAnswer: f**(1292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (8\/6 - 5\/15). Let m(b) be the second derivative of 1\/30*b**d + 0 + 1\/15*b**3 - 1\/75*b**6 + 0*b**2 - 1\/50*b**5 - b. Factor m(c).\nAnswer: -2*c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 44801.9054 to the nearest one hundred.\nAnswer: 44800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5381304?\nAnswer: 2, 3, 224221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1693277148 and 5.8579.\nAnswer: -1693277142.1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(-25))\/(1\/(-185)). Let o = 128 - n. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 9*d**2 - 3*d - 2. Suppose 0 = 2*n - 2*q - 4, -3*n + 2*q + 9 = -6*n. Is m(n) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80760.1819 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a microsecond in nanoseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3154465033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -21775 - -9?\nAnswer: -21768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 165069073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 7, 1, -12 in ascending order.\nAnswer: -12, -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-2)*6\/1. Let z be 2\/(-4) - 6\/(-4). Let s be u\/(z\/(18*2)). Round s to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/5)*i**(-2))\/((i\/i**1)\/i)**(-1) assuming i is positive.\nAnswer: i**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -260 minus -8170?\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9*1\/6 + 68\/(-56). Determine c, given that 4\/7 - 2\/7*c - 4\/7*c**2 + d*c**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*q + 0 + 0.\nAnswer: 148*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 178\/8 + 1*(-54)\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*q + 53, 3*q = -2*t + 7*q - 6. Let o(f) = -f**3 - f**2. Let k(v) = -v**3 - v**2. Let r(n) = t*k(n) - 6*o(n). Factor r(s).\nAnswer: -s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 14. What is the closest to 1 in 0, z, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from pmippppzp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 170 - 160. What is the greatest common factor of d and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c - 76 = -84 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w + 4*w**3 + w**3 - w**3 - 6*w**3 + 2*w**4 to x*w + y*w**3 + u*w**4 + o*w**2 + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6))**(9\/5)*v**(-14)*v**(-8\/3)*v assuming v is positive.\nAnswer: v**(-397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-152*(-5)\/60)\/((-16)\/36))\/(1\/2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**1*v)*v**(-8))**(1\/6)\/(v**11*v\/(v*v**(2\/15)\/v))**37 assuming v is positive.\nAnswer: v**(-6611\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 554598203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 9*p**2 + 8*p**2. Let l(h) = 9*h**2. Determine x(l(f)).\nAnswer: -162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 7:17 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14621 is divided by 332?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 3, -3, -4 in decreasing order.\nAnswer: 4, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 0) + 0 + -3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*q - 3*q - q in the form d*q + z and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 8, s + 3*u + 2 = -5. Let n(o) = -682*o**2 - o + 1. Let h be n(1). Does 13 divide ((-3)\/s)\/(4 + h\/170)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + f**2 + 2*f. Let b be m(2). Which is bigger: b or -4\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**4 - o**4 + o**4 + (5*o**2 + 0*o**2 - 4*o**2)*(-4*o**2 - 5*o**2 + 6*o**2))*((-1 + 4 - 5)*(-2 + 0 + 4) - 2 + 3 + 0).\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000021102001 - 212121?\nAnswer: 1000020112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 33419675 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31444, -126246, -284410, -505936, -790824, -1139074, -1550686?\nAnswer: -2025660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -8*r**3 + 6*r**2 - 3*r + 4. Let k(g) = 8*g**3 - 7*g**2 + 3*g - 5. Calculate 5*b(w) + 4*k(w).\nAnswer: -8*w**3 + 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 2*j + 9. Let b be h(10). Let r = b + -6. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g. Suppose 5*q - 29 = i, -2*q + 2*i + 8 = -2*i. Let n(h) be the second derivative of 0*h**2 + 1\/12*h**4 + 0 + 0*h**3 - q*h. Determine n(u(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(20) - sqrt(5))*2 + ((sqrt(5) + 1)*-6 - sqrt(20)\/sqrt(4)*-1))*-6.\nAnswer: 36 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77076561.\nAnswer: 3, 3407, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 l, 1 w, and 1 z when four letters picked without replacement from zjdlzzjwzjwiddl.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -252 divided by 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**3 - 113133*k**4 + 34*k + 113148*k**4 - 8*k + (1 - 1 + k**2)*(-3*k + 3*k + k**2).\nAnswer: 16*k**4 + 3*k**3 + 26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 234381, 234378, 234373, 234366?\nAnswer: 234357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 2499311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 54244 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 553 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 260, 4, 1 in increasing order.\nAnswer: 1, 3, 4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 0*u = 4*u + 70, -68 = 3*f + 2*u. Let i(z) = 4*z**3 + 15*z + 11. Let k(l) = l**3 + 4*l + 3. Calculate f*k(c) + 6*i(c).\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83, -111, -139, -167?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10 + (0 - 3))\/(17\/(-68)). Suppose 0 = 3*a + 4*t + 92, -5*t + 3*t = -3*a - 98. Let n = s - a. Calculate the least common multiple of 22 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2296)\/1968*(-60)\/28.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of 15 + 1\/2*f**3 + 7\/240*f**6 + 4*f**2 - 2\/15*f**5 + 0*f - 17\/48*f**4. Let o(p) be the second derivative of c(p). Factor o(g).\nAnswer: (g - 3)*(g + 1)*(7*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 2991, 2\/439?\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2, -11, -34, -77, -146, -247, -386, -569?\n\"Answer: -x**3 - x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -40*m + 44*m + 335843, 2*a + 3*m = 223901. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 7*l**2 - l - 4. Let v be p(-7). Find the second derivative of -59 + v*m**2 + 59 - 4*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2 + 298*v - 43560. What is k(-180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**5 + 7*m**5 - 2*m**5)*(-5 - 4 + 0).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12, 51, 146, 327, 624, 1067?\n\"Answer: 5*b**3 - 2*b**2 + 10*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 e when three letters picked without replacement from {e: 6, n: 2, y: 1, k: 3, q: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(20))**2*-6 - sqrt(5))*-3.\nAnswer: 3*sqrt(5) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l + 6*l**2 + l + l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1235509012 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -127, -180, -227, -268, -303?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3\/9 + 29860*o**2\/9 + 59714*o\/9 + 9952\/3.\nAnswer: 2*(o + 1)**2*(o + 14928)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s + 6 - 91*s**2 - 6 - 37*s**2 - 10*s to the form v*s + x*s**2 + j and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 12:25 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2151 divided by -6.\nAnswer: -717\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l + 1 + 0*l + 2*l. Let m = -4 - -5. Is x(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - 2) + 7 + 6 + 165\/(-20). Factor 3\/8*v**2 - o*v + 3\/8.\nAnswer: 3*(v - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 408 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, -233, -723, -1409, -2291?\nAnswer: -3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/2 + (-1)\/(-2). Let t = 56 + -54. Suppose 90 = 2*q - 5*f, -4*f + 10 + 44 = t*q. Calculate the greatest common factor of p and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 12*w**2 + 14*w + 6. Suppose -15*l = -19*l + 52. Calculate the remainder when q(l) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1095 and -15712.\nAnswer: -1720.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3*x**3 - 36*x**2 + x + 1. Give y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/3 - 79088*i\/3 + 40942720\/3.\nAnswer: 4*(i - 19240)*(i - 532)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-18)\/351)\/(2\/(-6)). Which is the closest to 1\/3?  (a) 0.3  (b) k  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 17*w**2 + 9*w - 5. Let k(f) = -f + 1. Let h(v) = g(v) + 4*k(v). Let r be h(-7). Suppose 5*p = -c + 1172, 5*p - 363 = -5*c + r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 15) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -1) + (-2 - (-1628)\/1626). Let z = h - 30625\/1626. What is the common denominator of 9\/86 and z?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3\/5 + 32\/45. Let y = -136.2 - -170. Let a = 34 - y. What is the nearest to a in 2, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -23*p**4\/4 - 25*p**3\/3 - 30. Find the third derivative of z(g) wrt g.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -2*y + 25. Let w = y - -48. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 10:42 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*j - 46. Suppose -j = -3*a + 2*a. Calculate the remainder when 62 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gssssgsggsvv. What is prob of sequence ggg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -1732*i. Let q(j) = -2*j**2. Determine q(x(c)).\nAnswer: -5999648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 23*s - 30. Let q(x) = 2*x**2 + 68*x - 90. Let n(a) = -3*q(a) + 8*y(a). Is 13 a factor of n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 66, 158, 298, 492, 746, 1066?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 58938*b - 16 = 58924*b, 5*b + 2 = -2*n + 3*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w - 42. Let j(m) = -4*m - 41. Let v(d) = -3*i(d) + 4*j(d). Let a be v(-6). Suppose -5*h + 9*h = a. Is 9\/4 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + (-6)\/(-10))\/((-481)\/(-2405)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 5*b**3\/3 - 19130*b**2\/3 + 1258925*b\/3 + 426020 = 0.\nAnswer: -1, 68, 3759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*o + 13*o + 99*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 2) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ussyfffssfcj. What is prob of sequence sfuf?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, t: 3, z: 4, o: 7}. What is prob of sequence ztz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 328747\nAnswer: 1\/328747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -5*i**2 + 7*i - 14. Let u(l) = l**2. Let y(r) = m(r) + 6*u(r). Let w be y(-11). Let t = w + 152. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(19) + sqrt(304)) + sqrt(19) + 1 + sqrt(1539))**2.\nAnswer: 60*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(147)*-3 - -6*(sqrt(147) + sqrt(147) + 0 + sqrt(147))) + 5*sqrt(147)*2 + -3)**2.\nAnswer: -1302*sqrt(3) + 141276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -316, -712, -1134, -1594, -2104, -2676, -3322?\n\"Answer: -2*c**3 - c**2 - 379*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1060901649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11231 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -12*k + 8*k. Suppose v - 13 = -3*q - 1, 0 = q - 4*v - k. What is the third derivative of -4*y**3 - 4*y - q*y**2 + 2*y**3 + 4*y wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 867*z - 17341. What is d(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/205 + 39\/205. Let j = -0.5 + 0.2. Put -1, h, j in increasing order.\nAnswer: -1, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 201*d + 350. Let i be c(-2). Is i bigger than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m - 5. Let s(p) be the first derivative of -p**2\/2 + 2*p + 22. Let q(g) = 2*h(g) + 5*s(g). Let b(l) = 8*l. Determine -b(c) - 10*q(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 677, 627, 577, 527?\n\"Answer: -50*s + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -15947\/4  (b) 5\/4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*g**2 - 64\/7*g + 62\/7.\nAnswer: 2*(g - 31)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11663, 22536, 32599, 41852, 50295, 57928, 64751?\n\"Answer: -405*c**2 + 12088*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**5\/5 + 724*v**4 - 1946064*v**3\/5 + 3877632*v**2\/5 = 0 for v.\nAnswer: -2244, 0, 2, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = b + 6. Let s be ((-9)\/b - -2)*-2. What is the closest to 2\/5 in s, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3 = 1. Is 1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 18*p**3 - 198*p**2 - 198*p - 198. Let a(g) = -g**2 - g - 1. Calculate 1188*a(r) - 6*l(r).\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 334694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 933540 is divided by 13528.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 289655 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 99796399*a**2 - 61472004 wrt a?\nAnswer: 199592798*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/4831 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-3\/2))\/u*u**(-2\/11)\/u)\/(u*u*u\/((u\/u**0)\/u)*u)**(2\/117) assuming u is positive.\nAnswer: u**(-7079\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x**2 + 2*x - 18. Suppose 0 = 2*b + 4 + 6. Suppose 4*y - 3*z - 51 = 0, 4*y - 66 = -0*y - 2*z. Calculate the remainder when c(b) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.6 + 45.6. Let f = 39 - d. What is the nearest to 0.3 in 1, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48388175*k + 105117470?\nAnswer: 48388175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51144458.4 microseconds to weeks.\nAnswer: 0.00008456425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z. Let j(b) = -11289*b - 74. Give j(m(a)).\nAnswer: 11289*a - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of 4*m + 7\/6*m**3 + 1\/15*m**5 + 0 + 7\/2*m**2 + 0*m**4. Let i(c) be the first derivative of t(c). Differentiate i(u) wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -1276*y + 6388. What is o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from uuhuuuulluuhuuu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 + -36. Suppose 3*z + 6 = 5*l + 3, -29 = -3*l - n*z. Suppose -3*x**2 - 3\/2 - 15\/4*x - 3\/4*x**l = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 32*y = 375 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*y = 7350 - 138750. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-160)\/(-170))\/8 - 330\/(-85). Let -9\/2*i**u + 0 - 3\/2*i**5 + 36*i + 42*i**2 + 9*i**3 = 0. Calculate i.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8147, -8148, -8149, -8150, -8151, -8152?\nAnswer: -8153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 0*j = -30. Suppose 32*v = 27*v + 10. Suppose -v*o + 8 = -3*f + 3*o, -2*o = f - 12. Calculate the highest common factor of f and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 q when four letters picked without replacement from {q: 9, e: 7, u: 2}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61563 + -4142. Let m = x + -57417.9427. Let y = m - 3.07. Round y to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w + 9. Let f be z(-7). Let g(k) = -4*k + 4*k + f*k. Determine g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -19*f**2\/2 + 46*f - 101. Let h be n(2). Solve h*g - 10*g + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -11*m + 1. Suppose 33*p + 124 = 322. Calculate h(p).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.015 in 0.1, -0.4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.144502 - -0.1313. Round x to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from dwdwweweewefdfd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 2 = -i. What is the common denominator of -2 - ((-110)\/24 + i) and (-3)\/((-5940)\/(-1341)) - ((-1)\/5 - 1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3*h + 11, -2*z - 2 = 4*h + 6. Let u be ((-4)\/z)\/(4 - 5). What is the units digit of (-3)\/u*(-44)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/85)\/((-1)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -152 + 50 + 461*o + 53 + 48 as q*o + v and give q.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1398*b**2 + 0 + 1 - 1 - 1392*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0.4  (b) -0.07  (c) 11  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1833 - 3124. Let d = f + 9052\/7. Factor 3\/7*z**2 + 12\/7 + d*z.\nAnswer: 3*(z + 1)*(z + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 5*y = 2*t - 37, -4*t - 4*y = -92. What is the smallest common multiple of t and 18\/(-7)*-3*(-14)\/(-6)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*r + 1578 = 123*r - 2979. Solve 11 = -5*l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 258 - 97. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*u + 475 = 5*a, -285 = -3*a - 3*u. Suppose 3*k = z + 115, 2*z = 5*k - a - 95. Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -42.4, -4\/7, -813 in descending order.\nAnswer: 2, -4\/7, -42.4, -813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.1 + -1. Let x = 0.1 - 0.1. Let p = -1 - x. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1339082 is divided by 508?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 1. Suppose 0 = -k - 12 + 17. Let z(m) = m**2 + 7*m + 7. Let x(r) = -r - 1. Give k*x(f) + n*z(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 1652?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -3, -0.73, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -52427076 - 13?\nAnswer: -52427100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - g + 2*g. Suppose -h + 2*h + 4*j - 19 = g, 0 = 2*h - j - 2. What are the prime factors of 4\/h*-10*2*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**4\/8 - 75*z**3\/4 - 351*z**2 - 2581*z\/4 - 2505\/8 = 0. What is z?\nAnswer: -15, -1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 7\/11  (c) 11  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*z**3 + 6*z**3 + z**3)*(2 - 2 - 1)*((4 + 1 - 3)*(-3 - 4 - 1) + 2 + 0 - 3 + (-1 + 5 - 3)*(-1 + 1 + 2)) as r + f*z**3 + n*z + y*z**2 and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1503212133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8 + -35.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 123615 and 5?\nAnswer: 618075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**4 - 2200*t**3 + 313200*t**2 - 2916000*t.\nAnswer: 4*t*(t - 270)**2*(t - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.8 - 0.82. Let z = c - -0.32. Put -3\/5, -1\/3, z in increasing order.\nAnswer: -3\/5, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4134*f - 4171*f = -851 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -47 + 44. What is the closest to j in 5, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-959157)\/(-187) + -1*(-6)\/(-33). Suppose n + 2191 = 61*x. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12543)\/(-1582) - 8 - 1*(-1)\/14. What is u in 2\/7*u**2 + 2\/7*u**3 + 0 + j*u = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -6*v**3 - 1. Calculate u(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3. Let z(h) = -h**3 - 4*h**2 - 5*h - 1. Let q(l) = 2*p(l) - z(l). Suppose -5*y + 1511*r = 1513*r - 33, -2*r - 7 = -3*y. What is q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnmnanan. Give prob of picking 1 a, 1 n, and 1 m.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + sqrt(68)\/sqrt(4) - 1*sqrt(68) - 6*-3*(sqrt(17) + 1)) + -4)**2.\nAnswer: 15096*sqrt(17) + 182344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 748*v**3 + 733*v**3 - 1482*v**3 - v. Suppose -4*j - n = 9, 7*j + n = 2*j - 11. Determine r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 13537 = 13120 - 8617. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50\/(-46) + 4\/46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -234335?\nAnswer: -234332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 3056*d - 30960.\nAnswer: 4*(d - 10)*(d + 774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*v = z - 72, 3*z = -5*v + 102. Let s = -18 + z. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166839968.\nAnswer: 2, 2083, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63 by -927.\nAnswer: 7\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -3707000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 22*z**2. Let k(i) = -81*i + 27*i + 22*i + 22*i + 17*i. What is d(k(a))?\nAnswer: 1078*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*y + 11*y + 1079381 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1671408, -2\/13, -0.5, -2\/5 in descending order.\nAnswer: 1671408, -2\/13, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-256)\/(-232))\/(209\/18183).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 19*f**2 + 5*f. Suppose k = 5*k - 4. Let z be (k\/3)\/((-4)\/(-228)). Is d(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-75)*((-66)\/(-352) + (-8667)\/144)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (725 - 703) + -19 + -71.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -19 times -2\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.5  (b) -0.178  (c) 16.83  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4223 at most 4243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2506096 is divided by 835347?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(1\/2)\/x)\/x*x*x)**28\/(x**0)**39)**(-41) assuming x is positive.\nAnswer: x**(-1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1476.66 rounded to the nearest 10?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2+2167720\nAnswer: 2167718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, u: 1, x: 2, k: 1, c: 1, t: 2}. What is prob of sequence ucxk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1537 divide 53988195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 12:50 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -482, -1886, -4102, -7028, -10562?\n\"Answer: 17*r**3 - 508*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + y = 20. Let d be 3*y\/(-30)*-15. Suppose -3*u + r = -2, -4*r = 4*u - 2 - d. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -937 + 8584*n + 479 + 458 as w*n + p and give w.\nAnswer: 8584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3 - 5. Suppose 5*r + 3*a = t*r + 9, -12 = r - 4*a. Suppose y + 4*w = -r*w + 6, -3*y + 28 = 2*w. Solve -y = -4*p - 2*l, 5 - 4 = p + 2*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/12*-9*20\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(128))**2 + sqrt(128) - 2*sqrt(18).\nAnswer: -14*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -43\/6*o**3 - 27*o**2 - 4*o + 0. What is the first derivative of s(h) wrt h?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1061081.411 - -2.\nAnswer: -1061079.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2018.979 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*g = n + 234, 4*g = 2*n - 452. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 9) to base 8.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/22 and -1\/362.\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -3*j**2 - 53*j - 1784. Calculate z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 6*x - x)*(109465 - 109465 - 40977*x).\nAnswer: -81954*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -146 - -355. Calculate the highest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -306 - -119. Let t = 88 + g. Let s = 99.000000618 + t. What is s rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 98, 135, 208, 329, 510, 763?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -6463, 272 in ascending order.\nAnswer: -6463, -27, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25415*b**3*r + 7429*b**2*r**3 + 9*b*r + 263*r**3 + 58*r - 23 wrt b.\nAnswer: -152490*b*r + 14858*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -17, 5, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, 1\/4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-70)\/(-48)*10940\/27350\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbikwwibeewkkbiieebo. What is prob of picking 1 k and 3 i?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -4. Suppose y + 71 = -59. Let w = -519\/4 - y. What is the nearest to w in -2\/17, 1, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*m + 2320 = 53*m. Let v be (-3)\/(-5) - m\/40. Let a(b) = 2*b**2 + 21*b - 8. Calculate the remainder when 10 is divided by a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 511 a factor of 3797491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**2 + f. Let p be m(-1). Let o = 6.4 + -6. Let z = -49 - -49. Which is the closest to p?  (a) 3  (b) o  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) 0.12  (c) -0.2  (d) -3073  (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2*q + 12 = -16, -5*n - 3*q + 32 = 0. Suppose 25 = n*o - 19. What is the lowest common multiple of o and 39?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 105, 437477, -4 in decreasing order.\nAnswer: 437477, 105, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((82\/(-123))\/((-2)\/(-3))*-1)\/(-61)?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22766, 60963, 124624, 213749?\nAnswer: 328338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (80\/12)\/(1\/(-9)). Let j = 772 + -2339\/3. What is the common denominator of (-3)\/(-6) - (-386)\/o and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i - 3. Suppose -v + 12 = 3*y, 2*v + 16 = 4*y - 0*y. Suppose 0 = x + 342 - 346. Suppose v = -x*f + 6 - 22. Give w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c. Let x(f) = -78386*f. Give x(v(n)).\nAnswer: 156772*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3 = 3*c, 5*c + 14 = 5*r + 4*c. Solve -r*m = -8*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1053)*-3)**2 + (-1*(sqrt(130)*-4 - sqrt(130)) + sqrt(130))\/sqrt(10).\nAnswer: 6*sqrt(13) + 85293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3892 divided by 2\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 242\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzqzgkogozzqzznogz. Give prob of picking 1 g and 1 z.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 660610216.1?\nAnswer: -660610215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 379402171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**3 - b**3 - b**3 + (b + 2 - 2)*(-3*b + 3*b**2 + 3*b) + b**2 + 0*b**3 - 5*b**2 - 4*b**3.\nAnswer: -3*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -2829 = -2819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2324892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2465 + -2470. Let d = -1 - -0.5. Which is the closest to 2\/3?  (a) i  (b) d  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -d**5\/10 + 4*d**4 - 29*d**3\/3 + 102*d. Let t(c) = -c**2 - 3*c. Let n(y) = -h(y) - 6*t(y). Factor n(i).\nAnswer: 2*i*(i - 19)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(3) - sqrt(57))\/sqrt(3) + 1 + sqrt(171).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5112862*m*r*x + 2*m*x**2 + m*x + 3*m - 5*r*x**2 - 2*x**2 + 106894*x - 5 wrt r.\nAnswer: -5112862*m*x - 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -473 = -83*d - 196 + 304 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -h + 2*h - 11, 10 = 4*h - s. Suppose -2 = -3*b + 4*y, 6*y = b + y + h. Let j = -2 - b. Let n(r) = -r**3 - 5*r**2 - 6*r - 4. What is n(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -3)*-2 - -3. Let v(r) = r**2 - 5*r - 1. Let f be v(4). Let u = -0.32 - 0.68. What is the closest to u in -5\/3, f, y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.26 + 0.76. Let r = -31.7 + 32. Let f = 0.7 + 10.3. Put 0.2, t, f, r in decreasing order.\nAnswer: f, r, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48516 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/5 - (152\/20 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 + 5 + (19 + -5 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-8)\/o**(-4))\/(o**(-2\/3)*o*o*o\/(o*o**(-1\/2))*o) assuming o is positive.\nAnswer: o**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 12:43 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (792\/(-1320))\/(24\/10)*-244?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*((-1108)\/(-24) - 2\/(-6)). What is the common denominator of ((-2)\/((-40)\/r))\/((-12)\/30) and 28\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/13))**(-27\/7) assuming f is positive.\nAnswer: f**(54\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -129926000 rounded to the nearest 1000000?\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-1 + 1 + 1). Let i be -9 - (-3 + v - -1). Let p = 11 + i. What is the greatest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 114*u - 117*u = 40, -5*j = -4*u - 51 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3805 < -3805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.06165 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of g**3 - 5*g**2\/2 - 9*g. Let o(q) = -7*q + 5. Determine 4*o(u) + 5*t(u).\nAnswer: 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**3 + p**2 - p. Let b be v(1). Let l(x) = 0*x - 1 - x - 3 + b*x**2 - x**3. Let z be l(3). Solve -z - 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -2.2, 2, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v**5\/6 - v**4\/2 - 41*v**3\/2 + 127*v**2\/6 + 101*v + 60 = 0. What is v?\nAnswer: -10, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**3 + i**2 + i + 1. Suppose 0 = t - 6*t - 10. Let j be u(t). Let c = 36 + j. Solve -5*r + c = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 8:17 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7429 and 17273.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-60)*20\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 3*y**2 + 8*y - 335. Calculate g(-8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 277972 + -77832303\/280. What is the common denominator of -23\/168 and s?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 308*i**2 + 11467564*i - 11467564*i.\nAnswer: 308*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -2 - 2*v**2 - 2 + 6*v**2 - v**2. Let p(h) = 2*h. Determine -4*l(x) + 11*p(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y*y**(-1)\/y)\/y)**25)**(-3\/31)\/((y**(-1\/5))**(-2\/39))**(-16) assuming y is positive.\nAnswer: y**(15617\/6045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**4\/4 + 30*b**3 - 537*b**2\/2 - 630*b - 1323\/4.\nAnswer: -3*(b - 21)**2*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -2, -0.5, -1\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2586100 to the nearest 10000.\nAnswer: -2590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 4:48 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 291 - 279. Let h be 8 - 8 - 1*-51. Let i = h + -31. Calculate the remainder when i is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 500 and -0.71442.\nAnswer: -357.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 953*f + 220152. Give q(-231).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cee when three letters picked without replacement from ecohhehzhqoc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (126\/(-70))\/((-17)\/(-10) - 2). Suppose -f + d*f - 6637 = -2*x, -5*f + x = -6634. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 1 + -1 + 1. Determine j, given that -2 + 5 - 50*j**h + 47*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-2\/3)*w)**30)**(-16))**(-2\/19) assuming w is positive.\nAnswer: w**(320\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*z - 1 + (1 - 1 + z)*(-3 + 4 - 2) - 3*z + 0*z + 4*z + (0 - 3 + 4)*(-68*z - 14*z - 39*z + 26*z) in the form i + m*z and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**5\/45 - j**4\/9 + 11*j**3\/27 - j**2\/3 - 273. Find w, given that b(w) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000214765542 rounded to six decimal places?\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.4, 2\/261, -0.3 in ascending order.\nAnswer: -0.3, 2\/261, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*1*945\/6237.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 4*r - 5*o = -10, 0 = 2*r + o - 2. Let y be (-1889 - -1888)\/(46\/26). Is r != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 27*v**2 + 28*v - 39. What is u(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 145119593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13951396 rounded to 5 dps?\nAnswer: 0.13951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7083 + 7100. Let l = -10 + 33. Suppose 0 = -2*g + 81 - l. Calculate the remainder when g is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -804 - -801. Suppose -3*p + 7*p = 804. What is the remainder when p is divided by (-27)\/(-3) - -5 - o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -40649, 0, 5, -1, 1\/100?\nAnswer: -40649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -142360959 divided by -1\nAnswer: 142360959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 709193.\nAnswer: 53, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -7) + (0 + 82 - (444 + -409)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/16)\/((-12)\/16). Let l(i) be the first derivative of 1\/4*i**4 + 3\/2*i**2 + m*i**3 + 3*i + 1. Determine l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 10  (c) -1  (d) -6\/235  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -m + 552. Let h(w) = -w**3 - 13*w**2 + 10*w - 20. Let t be h(-14). Suppose 5*q - t - m = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 - (4 + 6 + (-32 - -5))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 4*m + 15. Let p = 271 - 276. Let b be d(p). Let a(w) = -w**3 - 7*w**2 - 7*w - 3. Let f be a(-6). Solve -f*h + b = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24254793316911412070.00000219 + -24254793443562526272. Let x = j - -126651113671. Let s = x - -531. What is s rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092865 > 2092845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 598 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*q - 15 = 38*q. Let y be 1 + 5\/(-7 - -2). Solve y = -4*v + q*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11110122 + -120200221?\nAnswer: -202011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 2*u = -13, 5*u - 3*u = -2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + -1)\/2*42\/(-28). Solve 2*j = x*y - j + 12, -5*y + 2*j = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 548 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3\/100 - -179\/700. Is b equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1684.000004733 + 1684. What is b rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -8*b**2 - 610*b - 3063. Determine h(-5).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4 = -0*a. Let b = -7 - -10. Sort b, a, 5 in descending order.\nAnswer: 5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29902.8 to the nearest 100.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -57, -3\/7, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b - 60 = -27*b. Suppose 0*s - 676 = -3*s - b*c, -3*s - c = -673. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1117714, 2235430, 3353146, 4470862, 5588578, 6706294?\nAnswer: 7824010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (5*(-21)\/(-140))\/((-1)\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4820*c**3*n**2 + 36065*c**3 + 138*c**2*n*s**2 - 3*c**2*n*s + c*n*s**2 + 5163*n**2*s**2 - n*s**2 wrt n.\nAnswer: 9640*c**3 + 10326*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 620?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*r + 2 - 2)*(13 - 13 - 16*r**3) to n*r**2 + p*r + c*r**3 + o*r**4 + g and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6\/23, -2\/9 in descending order.\nAnswer: 0, -2\/9, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((0\/(-2))\/(-3))\/(-1). Let q = 13557 - 13553. Solve x = w - 1, -2*w + b*x - q*x + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 + 123410?\nAnswer: 123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 23783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -174587\nAnswer: -5\/174587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11778384 less than -37?\nAnswer: 11778347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**2 - 7*r - 3. Let v(u) = -u**3 + 5*u**2 - 2*u - 1. Let t be v(4). Let f(d) = d**2 + 2*d + 1. Give t*f(m) + 2*b(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 170516648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 27*l - 21. Give q(24).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**2*w**2*z**2 - 3*f**2*w*z**2 - f**2*z - 87*f*z**3 + 1202*w**2*z**3 + 7*w*z**3 wrt w?\nAnswer: -4*f**2*z**2 + 2404*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 68950, 137896, 206828, 275740, 344626?\n\"Answer: -u**3 - u**2 + 68956*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001114312 (base 5) in base 16?\nAnswer: -1e1b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 7:32 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c + 4. Let v be d(-3). Let q be 13\/3 + v\/6. Suppose -5*h - q*l + 6*l + 31 = 0, 5*h - 3*l - 34 = 0. Put h, -4, 1 in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50.2 - 50.7. What is the smallest value in 1.7, w, 0.4, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1289*s - 1295*s + 54. What is the nearest to -0.1 in -7, s, 2\/47, 0.4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, i: 2, p: 2, f: 4}. What is prob of picking 1 s, 1 p, and 2 i?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28864\/63 + 3204\/7. Let u = -16 + 82\/5. Put a, 4, u, 3 in decreasing order.\nAnswer: 4, 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m + 3. Suppose -5*x = -15, x - 13 = -5*j - 0*x. Suppose -j*v + 16 = 2*v. Does 15 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1069527 and -1.55948.\nAnswer: -1.4525273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krht when four letters picked without replacement from {h: 1, k: 1, s: 2, r: 2, t: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3, 0.01, -244, -13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 11:36 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2349 is divided by 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8.138618us?\nAnswer: 0.008138618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-11*j - 114*j - 52*j)*(2 - 2 + j**2) + (2 + 5*j - 2)*(4*j**2 + 0*j**2 - 3*j**2))*(6*j - 3*j - j).\nAnswer: -344*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 165641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -129 or 1.3487?\nAnswer: 1.3487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7847*v + 56. Let k(u) = 7849*u + 48. Give 6*f(q) - 7*k(q).\nAnswer: -7861*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5024077*b**2 + 4*b - 4*b - 5024078*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*l = 120. Suppose 5*m = 4*m + l. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-45)*(-6978)\/(-24). Let x = c - -51\/5. What is the common denominator of x and -43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.5, 3, 3\/17, 0.3 in increasing order.\nAnswer: -3, 3\/17, 0.3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6820186547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 18 - 2 = 0. Suppose 0*o = 4*o - f. What is the second derivative of 16 + o*i - 16 + 5*i**2 + i wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132605228 divided by -7?\nAnswer: -18943604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15688 + 15688.5. What is the biggest value in -4, z, 1\/5, -3\/481?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9108 divided by -18.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvjjjrjjvjjjjjjvv. Give prob of sequence jvv.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 312 times -0.03?\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*l + 1916 + 292. Suppose 0 = 5*j - 4*o - 620, j + 3 = 3*o + l. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 74.00000289 + -74. Round i to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2754047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -558 + 557.7596. Round c to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 10*a**2 - a - 3. Let v be b(-10). Let j = v + -4. Solve j*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -8*x**3 + 3*x**2 - 42*x + 3. Let s(i) = 9*i**3 - 4*i**2 + 43*i - 4. Let q(y) = -4*g(y) - 3*s(y). What is the second derivative of q(n) wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.2  (b) -5\/246  (c) -7  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1098956, -8, -5.\nAnswer: -8, -5, -2, 1098956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55048?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7601\/65 - 308\/65. Which is greater: h or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-44678)\/(-10) + 18\/90. Let p = w + -1061. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l. Let s(w) = -w. What is 6*i(t) + 13*s(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 5:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30*46\/8280*-516.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 337540 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 1:43 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 - 58 = w. Let l be ((-15)\/w)\/(4 + (-55)\/20). Solve -2*f = 4*y - 18, 6*f - f = -l*y + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h + 1. Let i(r) = 34*r + 68. Let c = 238 + -170. Let y(p) = c*v(p) - i(p). Let b(z) = -7*z. Give 14*b(d) + 3*y(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 116090287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 299598 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2 - -19)*(4 + 1 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 62956, 503639, 1699780, 4029109, 7869356, 13598251, 21593524, 32232905?\n\"Answer: 62955*o**3 - o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7252 divided by -74\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(5 + -4*-1*sqrt(343) + -3) + 5)**2*-5.\nAnswer: -686125 - 7000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78543286 by -39271643.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k**(-2\/9)*k)\/k))\/k*k*k**9\/k*k assuming k is positive.\nAnswer: k**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*r + 25 - 25)*(-r - 2*r + 0*r)*(0 - 2 + 1) + 9*r - 14*r + 3*r**2 + 2*r as w*r + m*r**2 + l and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 4. Let p be d(13). Suppose -9 = -3*u - 4*s, -3*u + 4*s = 2*s - p. Calculate the remainder when 45 is divided by 8*(-5)\/(-10) + u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3386233 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 + 49. Calculate the least common multiple of a and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1075535?\nAnswer: 5, 251, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j + 20. Let x be (-12)\/(-9*6\/(-90)). Give u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1404837980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 12\/16*5380\/334905\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35711993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12832.021 - 12832. Which is the third biggest value?  (a) u  (b) 0.4  (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 465267?\nAnswer: 3, 11, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8820 is divided by 2913.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23244*w**4 - 12*w**3 + 2*w**2 + 15625090*w?\nAnswer: -278928*w**2 - 72*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(768)\/sqrt(6)*-1.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17\/4 + -4. Let w be 1*3\/(-24)*-23. Let o = w - 223\/72. Which is the second smallest value?  (a) o  (b) -2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1400 and 25?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 16637*f + 2. Let k(p) = -7*p - 6. Calculate g(k(z)).\nAnswer: -116459*z - 99820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 9:41 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21341 is divided by 7107.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -158499.\nAnswer: -1\/158499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64 or 127\/2?\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2878570459 to the nearest integer?\nAnswer: 53652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 399390, 399378, 399366, 399354, 399342?\nAnswer: 399330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 14*m**2 + 5*m - 27. What is the remainder when v(13) is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -140*w + 137*w - y + 6, -38 = -2*w + 5*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 9:50 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671712 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7844957 divided by 179.\nAnswer: 7844957\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 7:03 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -95*o - 4. Let q be y(-8). Suppose 2*r + 1296 = 494. Let z = q + r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 6*l - 6. Let k be d(5). Suppose -v - 2*v - k = -2*n, -v - n = 8. Let z(a) = -117*a - 6. Let o be z(v). What is o rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 6 = y, 3*w = 2*y - 1 - 16. Solve 0 = -2*l - 3 - y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -5\/2, 4.39, 2, 0.06, -0.5.\nAnswer: -5\/2, -0.5, 0.06, 2, 4.39, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25.3 + 25. Let g = n - -5.3. Let s be (3 - 1)*(-1)\/3. Which is the nearest to s?  (a) -0.4  (b) g  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 211 + -120. Suppose 5*i - 1356 = -b. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28774\/7 + -2243861\/546. Find the common denominator of s and -69\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 2\/11, -0.02, -0.38, -3\/8, 0.1?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - 72\/30 - 726\/(-15). Calculate the highest common factor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 104665 + 10240?\nAnswer: 115235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3810299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 10 - (1 - -16)) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1371401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddt when three letters picked without replacement from {b: 1, d: 5, t: 7}.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 275 - -608?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j + 30 - 226 = -120 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2721 + 1.2721. What is the closest to -13 in 17, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 3*c + 15. Let p be q(-3). Suppose -p = z - 6*z. Solve z*f = -2*u + 17, 2*f - 5*u + 3 = -11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -4, -0.5, 0.06, -66, -1\/206?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.8 + 0.9. Let r be (-158)\/18 + 4\/(-18). Let w be 8\/r - 4\/(-18). Which is the closest to f?  (a) 1  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + 7. Suppose -b = -8 - 28. What is the highest common factor of b and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 8) + 14 + 1 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 850 divide 452200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 1) + 5 - (15 + -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h - 14. Let n(j) = -62*j - 19. Give a(n(m)).\nAnswer: -124*m - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -ca5c2 (base 13) to base 10\nAnswer: -365705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -1\/3*y**3 + 0*y - 3 + 5\/2*y**2. Calculate d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from doodo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.9824 to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*r**2 - 14*r**2 - 8*r**2)*(-r**2 + 0*r + 0*r) + 2*r**4 - 1 + 1 - 3*r**4 - 3*r**4 + 7*r**4 + (0 + r**3 + 0)*(-2*r + 6*r + 0*r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -25*q**6\/27 - 2*q**5\/3 + q**4\/2 - 2*q**3\/27 + 130. Factor u(t).\nAnswer: -2*t**2*(t + 1)*(5*t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1311)\/253 - 2\/(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22118824 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-12))\/((-6)\/(-120)). Put 6, -4, s in descending order.\nAnswer: 6, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47728 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2*b**2 - 1 + b)*(-118*b**2 + 118*b**2 - 17*b**3).\nAnswer: -34*b**5 - 17*b**4 + 34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -898, -1815, -2730, -3643, -4554?\nAnswer: -5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1576777181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2209 is divided by 315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*g - 43*g + 54*g**2 - 48*g - 17*g - 51*g + 206*g.\nAnswer: 54*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and -35988805105.\nAnswer: -35988805104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 2\/3*x**3 + 0*x + 2 + 0*x**2. Let o(d) = 3*d + 0*d - 2*d. Give o(y(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) -0.1  (c) 1\/3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/9, -2\/277, 1\/4, -353\/6, 2\/3.\nAnswer: -353\/6, -4\/9, -2\/277, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p - 22. Give y(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -1) + 8 + (47 - 71 - -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-2) + (-4)\/32. Let i = 1.8 + 0.2. Let p = 8 + -7. Sort q, i, p in increasing order.\nAnswer: q, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 11:58 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 10*l + 15. Give s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1007797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.76905l to millilitres.\nAnswer: 10769.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 911053817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -32 + (-30 - -81 - 24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 166393.3 millennia in decades?\nAnswer: 16639330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -5*r - 35, 0 = 8576*r - 8569*r + 2*a + 85 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2975184 by 432.\nAnswer: -6887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(1*-3*(-8)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + v + 3 = 3*l, -4*v + l - 13 = 0. Suppose 0*o = o - 2. Suppose -17 = -o*b - 5*f, -4*f + 2 = -4*b - 2*f. Sort 5, b, v.\nAnswer: v, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 11*a + 3. Let z be b(10). Let l = -21 + z. What is the units digit of (7\/4)\/(l\/(-32))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22b + -5?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/((-900)\/32)*((-675)\/10)\/9?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14160 + 0.107.\nAnswer: 14160.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 1:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -281?  (a) 5  (b) -1  (c) 16\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/(10692\/(-18))*1\/(6\/(-4)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1550, 4, -3, -11, 6 in descending order.\nAnswer: 1550, 6, 4, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -p**4\/108 + 1637*p**3\/54 + 91*p**2 - 70*p. Let m(l) = 0. What is l?\nAnswer: -1, 1638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*l - 30*l = 2124. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - 2 - (-1 - 11). Let z be -4 - (-5)\/(5\/4). Let m be 44\/2 + (0 - z). What is the highest common divisor of m and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 120884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 v when four letters picked without replacement from {a: 17, v: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -156, -109, -62, -15?\n\"Answer: 47*q - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-16230)\/35706)\/(55\/2)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 2\/(4\/30). Suppose -i = 2*i - 5*q + y, 3*q + 20 = -5*i. Sort i, 3, 0.1.\nAnswer: i, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -4842?\nAnswer: 4\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 458, 4, 0, -2 in increasing order.\nAnswer: -2, 0, 4, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8ebe75 (base 16) to base 7.\nAnswer: 142341446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*(-248)\/1581\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.16277 + 0.19277. Put -2\/5, 5, h, 0 in descending order.\nAnswer: 5, h, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o - 8 = 135. Which is greater: o or 47\/4?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20887*f = 20915*f - 868 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1621, -2726, -4563, -7132?\nAnswer: -10433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - -14. Let n = m - 20. Solve -n - 1 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s + 5*b + 30, 6*b = 4*s + 5*b + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + (4 - 1))\/1. Let s = 2 - r. Suppose -2 = -2*d + s. Solve 0 = -v - v - d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24402.97 + -24403. What is the nearest to 2\/7 in 0.5, -5, y, -4\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2076 and 132?\nAnswer: 22836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -11  (b) 0.0435  (c) -12\/5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107 - -114. Calculate the greatest common factor of v and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3041925ug to grams.\nAnswer: 0.0000003041925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 104\/28 - 0 - 4\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 3\/43017650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 679\/2480 + 6\/155. What is the common denominator of 97\/2 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3678 (base 9) to base 3\nAnswer: -10202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.17*-40.2.\nAnswer: 6.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3 = -2*f. Suppose 440 = 2*p - f*g - 84, -5*p + g = -1297. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -y**5\/30 - y**2. Let n(z) be the second derivative of -5*z**3\/6 - 9*z. What is n(f(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + c)*(2*c**2 - 1 + 1) - 44 + 189932*c + 6*c**3 - 189932*c.\nAnswer: 8*c**3 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26487*p + 26568*p + 1458 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13269926, -26539863, -39809800, -53079737, -66349674, -79619611?\n\"Answer: -13269937*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 34 + (-34 - -58) + -56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -16192?\nAnswer: -16192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 584189*i**3 - 1389527*i**3 - 1489912*i**3.\nAnswer: -2295250*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 4  (b) 279  (c) 0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 17 = -3*h, -3*h - o - 7 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31791 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.59437nm in kilometers?\nAnswer: 0.00000000004259437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 187.426246 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 1666.\nAnswer: -6\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 216 + 0*y - 175 + 6*y + 182. Give s(-42).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 3*g**4\/4 + g**3 - g**2\/2 + g - 376. What is c(-3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 - -48. Let u(r) = -r**3 + 6*r**2 + 10*r - 4. Let o be u(n). What is the highest common divisor of o and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 694250?\nAnswer: 2, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 1233?\nAnswer: -1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.16 - -0.06. Let q = 0.04 - 1.04. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 10083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/2 - 5*u**2 - 4161*u\/2 - 26775.\nAnswer: (u - 75)*(u + 14)*(u + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2 + 5*q + 6. Let u be t(-5). Let y = u + -32. Do y and -1\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20808 = 2*c + 5818. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 85368?\nAnswer: 597576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4620374, 4620386, 4620406, 4620434?\n\"Answer: 4*h**2 + 4620370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 5*v - 6*v + 2, -v = -5*f - 2. Let i = -12 + 34. Calculate the common denominator of (-2 - (-97)\/i) + f and -93\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and (-2 + -54 + 4)\/(1 + -2).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 143\/(-26) + 2\/4. Let b = -2\/39 + -29\/195. Let g = -3 + 4. What is the nearest to g in r, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 3)*(-2*d - d + 2*d) + d + 2*d - 2*d - 228*d - 225*d + 433*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 992*p*r + 78*p + 8 wrt r?\nAnswer: 992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -588.977 plus -0.3?\nAnswer: -589.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5156*u + 5156*u - 35*u**3 + u**3.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 722595000 to the nearest one million.\nAnswer: 723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**4 - 3*a**4 + 3*a**4)*(-3*a + 5*a - 3*a) + 0*a**5 + a**5 + a - 3*a**5.\nAnswer: -a**5 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/24)\/(105*30\/(-1260))*2\/14?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*u + 46*u + 58*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34109*r = -34117*r + 16. Let m = 6 - 2. Solve -2 = -m*c + r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*z + 5604 - 4074 = 32*z + 111*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h - 3 + 3)*(28*h - 16*h + 15*h) to g + o*h + s*h**2 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 8:42 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (9 - (2 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*v**3 + 8136437*v - 102422216 wrt v.\nAnswer: 18*v**2 + 8136437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -138, -218, -298, -378?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 + 121\/5. Let q(p) = -p**2 + p + 2. Let u be q(3). What is the second biggest value in u, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((70\/5)\/(18\/27))\/(((-3)\/1)\/3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i + 1303 = -3*q + 1252, 0*i + q + 57 = 6*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**2 - 2*a. Let d(g) = 3*g**2 + 3*g - 16. Let x be d(2). Let k(m) be the second derivative of 0 - 2*m + 0*m**x + 1\/6*m**3. Calculate y(k(o)).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 16 - 124. Calculate the smallest common multiple of g and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -157451622 and 118108.\nAnswer: -157333514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + q = 0, 4*c + 17*q + 16*q - 27 + 3 = 38*q + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 473.53166 - 429.531709. Let i = 43.634 - -0.366. Let y = s - i. Round y to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8090 and 16?\nAnswer: 64720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4602 - 5?\nAnswer: -4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 11) + -3 + 14 + 4 + 6 + -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + p + 1. Let z be t(2). Let d(q) = 22*q**2. Let b(s) = 16*s**2 + 5*s - 7*s**2 - 5*s. Give z*d(g) + 12*b(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3)*y\/y**(-5)*(((y\/(y\/(y*(y*y\/(y*y**(-1\/2)*y)*y*y*y)\/y))*y)\/y)\/y*y)**(-1\/56) assuming y is positive.\nAnswer: y**(47\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.4 + -1.6. Let g be (-3)\/(-15)*(-30)\/(-9). Which is the closest to g?  (a) 1  (b) f  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = v - 87, -270 = -5*f + 5*v - 30. Solve 16*x - 7*x = -f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1057, 4\/9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(242) + 0 + -1*(1 + sqrt(2)).\nAnswer: -1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 1930*q - 39 = -1931*q, -5*m + 105 = -5*q. Suppose 0 = 5*k + 5*c - 65, -k + 3*c - 31 = -3*k. What is the smallest common multiple of k and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/20510 and -21\/1465.\nAnswer: 20510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -249, -713, -1507, -2643, -4133, -5989?\n\"Answer: -2*c**3 - 153*c**2 + 9*c - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 660*t - 2627. Give w(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 9. Let q be d(6). Suppose 0 = q*h + h - 13600000. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6225655223 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, p: 1}. Give prob of sequence py.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 609 and 12?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -5369 at most as big as -5371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6354964.\nAnswer: 2, 7, 11, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -121309151*q**2*v**3 - 2*q**2*v**2 - 22*q*v**2 - 6*q*v - q + 2158 wrt v.\nAnswer: -727854906*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228\/3 + 8\/4?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7*h - 9. Let x(a) = 4*a + 5. Calculate 3*p(l) + 5*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 + 5*z**2 + 5*z. Let d be 4*2\/(-4) + 35. Suppose 5*x + d = -4*c, -17 + 3 = -3*c + 4*x. What is the lowest common multiple of 6 and k(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 944*n**2 + 18 - 29 - 313*n**2 - 318*n**2 - 19 - 317*n**2.\nAnswer: -4*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p - 22. List the prime factors of m(-13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 520, 1042, 1564, 2086, 2608, 3130?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3 - 0.556. Let s = -0.156 - n. What is the second smallest value in s, -1, -2, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 5*f - 846 = 0. Let y = -192 + f. Let s = y - -67. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/11494 and -63\/6568.\nAnswer: 45976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 - -50. What is the units digit of k\/(-3)*(1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 625 divided by 5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 359 + -108. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 + -405?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 7:24 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-3\/16)\/c))\/c**(-17) assuming c is positive.\nAnswer: c**(307\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pzz when three letters picked without replacement from zfpzfzf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/3, -98 in decreasing order.\nAnswer: -1\/3, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**3 - 5338*b**2 - 3505070*b + 75979050 = 0.\nAnswer: -1345, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 116\/232*(-2)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = -8*w - w + 52 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pxxfyyuxxxy. What is prob of picking 1 y, 1 f, 1 p, and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*m - 39*m - 9*b - 30 = 0, -3*b + 24 = 5*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -15*w - 18. Let b = 5 + 13. Let r(a) = a + 1. Determine b*r(n) + i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*o + 2692 + 348 = -6198. What is the remainder when 303 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/6 - -2 - 25\/(-10). Suppose 6*a = 8*a - r. Solve 4*d + a = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*g - 16*g + 11 + 20*g + (-2*g + 4 - 4)*(2 + 2 - 2))*(-52 + 173 + 8) to y + f*g and give f.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10235 + 2?\nAnswer: 10237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -243 - -260. Suppose 24*u = n*u + 1197. What is the remainder when u is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 5:22 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 10. Let t be 10\/12 - (-1)\/18*3. Solve -t + 21 = -x*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/2183120 and 77\/1878236.\nAnswer: 1089376880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from qrmmrrrprrrrzrrrpr.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2211436 and 2211436?\nAnswer: 2211436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.5, -1\/2289, -2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005889 rounded to 6 dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 22*i**2 - 340*i - 19. Let w(c) = 24*c**2 - 336*c - 23. Determine -6*l(v) + 5*w(v).\nAnswer: -12*v**2 + 360*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2997?  (a) 3\/2  (b) 0.3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -95532147 + 7069115455\/74. Let l = i + 3560. Calculate the common denominator of (-118)\/36 - (-1)\/3 and l.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 22*b. Let z(v) = 7*v**2 + 4*v - 4. Let i be ((-2)\/4)\/(29\/(-522)). Let u(l) = 15*l**2 + 9*l - 9. Let w(m) = i*z(m) - 4*u(m). Give w(r(n)).\nAnswer: 1452*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24282508993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008067 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -4*y**4 - 3*y**3 + 5*y**2 + 3*y - 6. Let l(s) = s**4 + s**3 - s**2 - s + 1. Let w(v) = -2*h(v) - 10*l(v). Factor w(b).\nAnswer: -2*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - 1. Let s = -0.45 + 0.15. Which is the nearest to 2?  (a) s  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8062 is divided by 475?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 15 = i. Solve i*y = y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*l - 4 = -308*l - 4*z, -3*z = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - -54341?\nAnswer: 54403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/39 in -21, 5, -2\/11, 0.1715, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1112 (base 6) in base 14?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19076932 is divided by 75702?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 24*t**2 + 2*t + 111. Calculate l(-24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 398 - 398. Solve 5*u - 4 - 6 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1424425 is divided by 1995?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 - 4886*k**3 + k**2 + 5155*k**3 + (3*k - 3 + 3)*(3*k**2 - k**2 - 3*k**2) - k**3 + 2*k**3 + k**3 in the form a*k**2 + h + q*k + b*k**3 and give b.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -3, -1, -23, -13, 2073\/49, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -m**3\/3 + 8*m**2 - 13*m - 1530. Calculate c(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 6:44 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2668610 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x + 4*x - 4*x)*(-1 - 2 + 4) + (4 - 5 + 5)*(x + 0*x - 3*x) + 2*x + x - 4*x - 2 + 5*x - 1 + 2 + 2*x + 2 - 2 in the form l + g*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 5:26 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f - 833 - f**2 - 5*f + 16556 + 2*f**2 to the form i*f**2 + g*f + b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 6, 1, -0.661 in decreasing order.\nAnswer: 33, 6, 1, -0.661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 5)*3\/5. Let v(w) = 3 - 3*w**3 + 3*w - 7*w + 2*w**2 + 4*w**k - 4. Let g(b) = -2*b**2 - 4*b - 3. Let l be g(-2). Calculate v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 583\/(-1 + 2) + 1 + 1. Suppose -2*g - 5*k - 125 = -3*g, 0 = 5*g - 5*k - c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/8*(-48)\/240. Suppose -j + q = 2*j - 2, -4*j - 3*q = 6. Suppose 2*c - 5*n + j*n = -17, 3*c + 3*n = 6. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from prp. What is prob of sequence rp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 600*i**5 - 128*i + 12?\nAnswer: 12000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36615 or 36613?\nAnswer: 36615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of 11*r**5\/60 - r**4\/12 + r**3\/6 + 11*r**2. Let b be d(1). What is the derivative of 0 + 4*n + 2 + 0 - b*n wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13135 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 98 + -1373\/14. Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45619.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7 or 2361\/346?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 707079 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + 0 - -4)*2. Let x(k) = 2*k**2 - 4*k + 1. List the prime factors of x(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1934*r**3 - 149*r**3 - 2415*r**3.\nAnswer: -4498*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -146*i + 12852. Calculate p(88).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 372 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 2.2.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1556049970 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 3. Suppose -s + 3*w + 63 = 3*s, 4*s - j*w - 68 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4347\/(-2898))\/((-69)\/(-4)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/4*2670\/1513.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.543 + -1.593. Which is bigger: w or 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6578821751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o + 2. Suppose -3*k + k = 0. Let g be w(k). Let n(l) = l**2 + 8*l + 14. Let a be n(-6). Is g less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -477, -1012, -1557, -2118, -2701, -3312?\n\"Answer: -o**3 + o**2 - 531*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -w**7\/2520 + 7*w**4\/12 + 14*w**2. Let a(c) be the second derivative of y(c). Let n(g) = 34*g. Calculate n(a(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 28617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6437 and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 5*a. Let t(f) = -37*f**2 + 15*f**2 + 6*f**2 + 6*f + 15*f**2. Give -5*t(z) - 6*v(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x + 59 + 3*x**3 - 6*x**4 - 23 + 21 to g + h*x**3 + f*x**2 + m*x**4 + y*x and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43792.41 years to centuries.\nAnswer: 437.9241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6965616*a*g - 168996096*a + 3*g**4 wrt g?\nAnswer: -6965616*a + 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 + 50. Let z(y) = 3*y - 19. Let p be z(d). Factor 0 + 0*h + 3\/4*h**p + 0*h**2 + 3\/4*h**4 + 0*h**3.\nAnswer: 3*h**4*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63 - 72. Is -5 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 502 and 14?\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200 - 212 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -34, -29, -24, -19, -14?\n\"Answer: 5*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 688.\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (11 + -10)\/((-2)\/(-6)). Suppose 5*o = m + 17. Let j(p) = -p**2 + p + 3. Let g be j(3). Put g, 5, o in increasing order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16778.86565 to 0 dps.\nAnswer: -16779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4327083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 5*l - 4*l + 475 = 0, 0 = -2*l + 10. Let n be (-1120)\/o + (-2)\/(-6). Solve 2*a - n*a + 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*z - 30*z = -70 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108610?\nAnswer: 2, 5, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 11:43 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 3  (c) -68942069\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*b + 18*b - 8*b)*(60 - 1 + 28 - 29 + 47) to the form y + i*b and give i.\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2517 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-105)\/18*8\/(-7)*75\/50.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -13 + 9 - (-2 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 12 = -3*l - y, -4*y + 16 = 2*l. Let k = -4 - -4. Let o be k - (0 + (-2)\/15). Is o <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270*f - 268*f + 5*y - 4*y - 4*y = -41, 44 = 4*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 207299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.8 - -4.7. Sort 0.1, -2\/15, u, 0.4 in ascending order.\nAnswer: -2\/15, u, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4004, -31961, -107836, -255587, -499172?\nAnswer: -862549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -15, -48, -107, -198, -327, -500?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47375 is divided by 9446.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1344\/(-1680))\/(7\/((-525)\/6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*m**4*n**2 + 70*m**4*n - 6*m**3*n - m**2*n**2 - 2848*m**2*n + 3*m**2 wrt m?\nAnswer: 72*m*n**2 + 1680*m*n - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/(-4)*448\/(-252)*15621\/(-4).\nAnswer: 2, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -t - 2. Let h(n) = 0 + 0*n**2 + 3*n - 2*n**2 + n**3 - 2 - 2*n + 4. What is h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - -4*sqrt(108))) + (-5*(-2 + sqrt(3)))**2.\nAnswer: -124*sqrt(3) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1433946*o**3*z**2 + 281*o**3 - 190*o**2*z wrt z.\nAnswer: 2867892*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l + l - 1616 = -7*l. Calculate the remainder when 320 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 208538.2 millimeters?\nAnswer: 208.5382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4630*f**3 + 4*f**2 + 73 + 35 - 2*f - 4759*f**3 wrt f?\nAnswer: -774*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) -2\/5  (c) -2800\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -5, 3, -1, -39 in ascending order.\nAnswer: -39, -38, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30667 and 13832?\nAnswer: 4661384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**2\/9 - 19436*t\/9 - 47219762\/9 = 0.\nAnswer: -4859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by -3743084?\nAnswer: 17\/3743084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 10*z - 3. Let g be f(1). Differentiate 4 - g*k**4 - 2 + 24*k**4 - 118*k**4 with respect to k.\nAnswer: -404*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19511?\nAnswer: 109, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14300284.\nAnswer: 2, 3575071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000110010001001100111111 - -1?\nAnswer: 100000110010001001101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2334 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 155636360 divided by -38909090?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 11  (b) 3  (c) -5  (d) 0.5  (e) -0.167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*n + 2*u + 30 = 0, 3*n = 5*u + 40. Calculate the least common multiple of -6*((-2)\/(-1))\/(-2) and n\/((-5)\/2) + 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 726?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -3. Let p = 4 + y. Differentiate p - 5 - 2*q**4 - 2 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5293 and 10033.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1768 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is b2 (base 16) in base 11?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -811.15415 to the nearest integer.\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -280*i - 4205. Calculate m(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + 40. Suppose -z - 32 = -0*f - 2*f, 5*f = -z - 4. Let u = h + z. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 25 + 5*r)*(-3*r + 31 - 31 + (4 + 1 - 4)*(-2*r - 2*r + 2*r) + 3 - 3*r - 3).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0, -513, 5, -5, 3 in decreasing order.\nAnswer: 5, 4, 3, 1, 0, -5, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 247291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - ((sqrt(208) - sqrt(13)) + sqrt(13))*6) + -4*(sqrt(13) + -1))**2.\nAnswer: -216*sqrt(13) + 9493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y**4\/7 + 37516*y**3\/7 + 59251000*y**2\/7 + 1891253200*y\/7 - 6963912000\/7 = 0 for y.\nAnswer: -3110, -36, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4117\/5 - -824. Let d = 0.4 + -0.4. Which is the nearest to d?  (a) 5  (b) h  (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2415934 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19\/6 in 16, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1960\/(-1372))\/((-15)\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 12) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -453 + 597. Let w = 40 - 24. Calculate the highest common factor of w and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -26*y - 5. Let q(c) = -105*c - 21. Give -5*q(r) + 21*t(r).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 220*n**2. Let k(l) = -l**2. Determine k(f(z)).\nAnswer: -48400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14.61 - -10.61. Which is the smallest value?  (a) f  (b) 16\/11  (c) -1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3105923707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 125\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -665*g + 3*q - 693 = -670*g, -q = -2*g + 286. What is the remainder when 1231 is divided by g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/(-31213))\/((-15)\/210)*-7.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101001110100001011010 - 1100?\nAnswer: 10101001110100001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.6426808 - -7.065371. Let v = s - -0.407309. Let f = 0.17 + v. Round f to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -359259 times 0.7?\nAnswer: -251481.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 0*s - 10 = 0. Let u = 2 - s. What is the closest to -2\/5 in u, 2\/23, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -3\/715?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 4*i + 6. Determine l(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 91044054 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmppuzzuz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = g + 1, -3*z + 1 = 3*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -1, 2 in increasing order.\nAnswer: -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1)\/((13760\/512)\/(-43)*(-2)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250797509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.0125+-0.066\nAnswer: -0.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**2 - 3*l - 3. Let j be f(3). Let t = 35 + j. What is the first derivative of u**4 - 10*u**4 + 3*u**4 + 1 - t wrt u?\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-4))\/((-24)\/(-72)))\/(-5)*4.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 7*v**6\/40 - 7*v**5\/30 + 10*v**2. Find the third derivative of u(c) wrt c.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 456 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 + 1)*(5 - 3*q - 5).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 1. Let v(l) = -6*l + 4. Let j(t) = 4*m(t) + v(t). Let g(f) = -f + 1. Let i(q) = -2*q + 3. Let x(o) = 3*g(o) - i(o). Give x(j(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b - 6. Let c be o(-4). Let h = 0 + c. Find the third derivative of 0*q**4 + 6*q**2 - 3*q**h - 2*q**4 + q**4 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2*a = 94, -4*z + 81 = -5*a - 111. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -135614507*z. Let o(g) = -2*g**2. What is o(l(r))?\nAnswer: -36782589017706098*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 955460 and 1100?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20, 53, 76, 83, 68, 25, -52, -169?\n\"Answer: -q**3 + q**2 + 37*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -17*4\/(-20) - 8\/20. Find the third derivative of n**3 + 2*n**3 - n**2 - 6*n**v - n**3 + 39*n wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-6))\/(1\/(-12)). Let o = s + 8. Suppose 2*b = 7 + 3. Solve -4*a + 3 + 8 = -3*j, -b = j - o*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(825) + -3*sqrt(825))*4)\/((sqrt(539) - -3*sqrt(539)*-1 - sqrt(539)) + -2*sqrt(539)*-4).\nAnswer: -8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45874058 is divided by 835.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d - 13. Let h be v(7). Let x be ((-36)\/h)\/((33\/(-20))\/11). What is the highest common factor of 448 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 3*c - 7. Let q be l(5). Suppose 0 = f + q*f + 312. Suppose -5*d + 43 - 438 = 0. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 28. Calculate x(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -9, 4\/167, -4, 3\/53?\nAnswer: 4\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -55?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/3))**(-7)*(a**(2\/5)*a*a)**(-25) assuming a is positive.\nAnswer: a**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 119711551, 239423098, 359134645, 478846192, 598557739, 718269286?\n\"Answer: 119711547*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11b + 5?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32175896?\nAnswer: 2, 23, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19974*n + 10261*n + 9708*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 314*d**2. Let a(k) = 122*k. Give a(w(l)).\nAnswer: 38308*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3786034 is divided by 672?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-7 - -4) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*b - 8. Suppose b = -m - 3. Let i = m + 7. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 15*z**2 - 35*z + 142. What is o(7)?\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**5 - 6247768*i**3 - 1953356*i + 7 wrt i.\nAnswer: 20*i**3 - 37486608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**3 - 12*s**2 - 14*s = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1208, 1176, 1144, 1112?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**2*m**3 - 3403099*a**2*m**2 + 17*a - 2*m**3 - 7647220*m**2 - 4*m wrt a?\nAnswer: 2*a*m**3 - 6806198*a*m**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/7  (b) 2  (c) 8  (d) -1\/5  (e) -0.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -913 + 914. Suppose 10 - 2 = 2*v. Suppose -x + 4 = -5*s, 2*s - 4*s - 16 = -v*x. Solve 10 - z = -3*a, -c = -x*a - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 20 - 2*g + 3*g - 14. Let t be d(-8). Put 3, 1, t in descending order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, d: 1, m: 1, b: 14, k: 2}. Give prob of picking 2 b.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -2  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -20, -2.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420176 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pr when two letters picked without replacement from rzrprzzrppppzqr?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 35*z. Let v(i) = 1940*i + 7. Give v(b(n)).\nAnswer: 67900*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h - 4*h = 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 8*t**2 + 11*t + 4. Calculate r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 14*z - 2619550 = -82317. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1256d1a - -2d?\nAnswer: 1256d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 3. Let g(s) = 2*s**3 - 23*s**2 + 11*s + 2. Let h be g(11). List the prime factors of -3 - (-35 + (3 - h) + j).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.808872731 less than 18.5?\nAnswer: 17.691127269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 134\/3 - 1480\/33. Sort s, -2, 1.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of 13*x**8\/168 - x**5\/30 + 28*x**2 - 42*x. Let h(l) be the first derivative of q(l). Find the third derivative of h(o) wrt o.\nAnswer: 1560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**3 + 5*m**4 + 2*m + 2 - 26*m**4 - 2 + 13*m**4 in the form z + p*m**3 + k*m**2 + t*m + i*m**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 178473 + -178470. Factor 2*s**k - 4\/3*s**2 - 8*s - 16\/3 + 2\/3*s**4.\nAnswer: 2*(s - 2)*(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 666 + 1870 = 0. Let h = p - -2385. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 138 by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*3*(-3 - (-40)\/15). Suppose 5*q - 6 = n. Suppose q*z + 2*z - 32 = -5*o, z + 13 = 4*o. Calculate the highest common divisor of z and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((((-1 + sqrt(588))*-2)**2 - (-5 + sqrt(192) + -1 + sqrt(192))) + -3).\nAnswer: -14154 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)\/(sqrt(12)*2 + sqrt(12)) - sqrt(63))\/sqrt(9) + (sqrt(175) + 1*sqrt(175))*1 + ((-6*sqrt(252)\/sqrt(6))\/(5*1*sqrt(6)))**2.\nAnswer: 252\/25 + 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 732371 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*k - 572, -4*k + 3*k + 286 = 2*b. Calculate the remainder when b is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1023 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 43*i**2 + 30*i + 36. Determine t(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 5*l + 6. Let d be t(-6). Suppose d = -x - 0*x. Let j = -1 + x. Which is the closest to j?  (a) 0.3  (b) -6\/5  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-7 - -1 - (-3)\/(45\/96))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 572 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 56 + -223?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 + 837*i**2 + 1662*i.\nAnswer: 3*i*(i + 2)*(i + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14 + (-74)\/(-5))*10\/(-4). Suppose 6*t - 3*t = -9. What is the third smallest value in 3, t, 0.004, q?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - v + 3. Let z be n(0). Solve -z*m = -5*u - 34, -2*u + 2*m = 3*m + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2356, -2462, -2568, -2674, -2780?\n\"Answer: -106*j - 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24384423 or -24384421?\nAnswer: -24384421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1168*d = -793*d + 351*d + 1610 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -148, -285, -420, -553, -684?\n\"Answer: f**2 - 140*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.87950401 to 2 dps.\nAnswer: -43.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/4 - 5)*(-3)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*j - 325, 4*j + h - 305 = j. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1464 divide 19695192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49803 and 30582873.\nAnswer: 397577349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3315*v**2 + 1100*v**2 + 1100*v**2 + 1105*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 141*l + 5778. Calculate z(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.024 and 2284.\nAnswer: -54.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*i - 173*i - 4158 = 150*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m*u**3*w - 15*m*u**2 - 4*m*u*w + 2*u**3*w + 2*u*w + 21 wrt m?\nAnswer: 2*u**3*w - 15*u**2 - 4*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 3*g + 3. Let k be b(2). Let n(z) = 13*z**2 - 7*z + 6. Let h be n(k). Suppose 2*o = -2*o + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -x**3 + 305*x**2 - 832*x wrt x?\nAnswer: -6*x + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/6 and 57\/6826.\nAnswer: 20478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43*(-8)\/40 - -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, n: 2, k: 4, g: 3}. Give prob of sequence uuk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26580 divided by -6.\nAnswer: -4430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (599*a**2 - 2399*a**2 - 616*a**2)*(-2*a + 5*a + 4*a).\nAnswer: -16912*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.6 - -11.6. Sort 3, 1, z in increasing order.\nAnswer: 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/5 + 1822*t.\nAnswer: -2*t*(t - 4555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 5*u**3 + 14*u**2 - 22*u - 97. Let m be j(-10). Are m and -3477 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 9619*a - 44. Let z(m) = 300834226*m - 1376089. Determine -125099*x(k) + 4*z(k).\nAnswer: 9623*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -94 + 97. Let u(w) = -13*w - 2. Let l(a) = 7*a + 1. Let g(t) = 10*l(t) + 6*u(t). Let d(q) = 8*q + 3. Let r(j) = -5*d(j) - 6*g(j). Give r(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28657182 and 15425.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 12945511.1 and -0.5.\nAnswer: 12945510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 452 + -450. Solve 5*g - g = m - 4, -2 = p*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/9 + (-60)\/(-270)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0336286 rounded to four dps?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13*o**3 - o**2 - 4. Let y(m) = 7*m**3 - m**2 - 2. Let f(i) = -6*b(i) + 11*y(i). Let l be f(-4). List the prime factors of 4\/l + 204\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 68 + -54 - (8 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1342 and 2880542?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 3\/2  (c) 2\/13  (d) 836\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.36 - 4.3. Which is the nearest to -6?  (a) y  (b) 0  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159, -157, -145, -117, -67, 11, 123?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -1.9. Let d = 993.4 + -993. Put a, d, 3 in decreasing order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 5*u - 20, 4*c - u = 19 - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10 - -92) + (1 - 2 - 2). Let n = 265 + r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 27.2 and -3\/269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3767.2445 and 25.\nAnswer: 94181.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 656 is divided by 98?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/2 - 1)\/(-2). Let z = -18 + 32. Let w be (2*3 + -1)*z\/35. Is w at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*f - 101 = -275 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/7))**(5\/7))**(-38) assuming z is positive.\nAnswer: z**(-380\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70)\/143 - 80\/260*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04*10509319\nAnswer: -420372.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2022 divided by -6\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s**2 - 500*s + 20064 = 0. What is s?\nAnswer: 44, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/2)\/((-6)\/(-16)). What is the tens digit of (q - 0)*(-69)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, r: 2, a: 2, u: 2}. What is prob of picking 2 r, 1 u, and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of -3*b + 0*b**6 + 1\/2*b**2 - 5 - b**3 + 2\/7*b**7 + 0*b**4 - 3\/20*b**5. What is the second derivative of g(r) wrt r?\nAnswer: 240*r**3 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26835938?\nAnswer: 2, 13417969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -93599842 + -401.423?\nAnswer: -93600243.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -479 = 6*m - 449 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 728 = 5*o + 4*r, 4*o - 752 = -o + 4*r. Is o a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 5:11 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.333*2\nAnswer: -0.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/sqrt(54)*-5)\/(sqrt(30)\/(sqrt(5) - 1*sqrt(15)\/sqrt(3) - sqrt(5))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 124 - ((26 - 3564\/144) + ((-172)\/(-16) - 3))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 17, 10, -19, -8 in descending order.\nAnswer: 17, 10, -8, -19, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 193281*b - 193280*b = -25, b + 5 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3698127, -7396257, -11094387, -14792517?\n\"Answer: -3698130*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3545277 - 32?\nAnswer: 3545245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xexxxxxex. What is prob of sequence xxx?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -22\/7  (b) 0.04  (c) -1  (d) 0.5  (e) 47\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 16 = -2*g. Let z(k) = k**2 + 3*k + 1. Let r(m) = -m**2 - 2*m - 1. Let w = -10 - -5. Let c(f) = g*z(f) + w*r(f). Factor c(u).\nAnswer: (u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 4*i, 5*z + i = 4 - 0. Which is the smallest value?  (a) -3  (b) z  (c) 0.3  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -165, -274, -383, -492, -601, -710?\n\"Answer: -109*u - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19196 is divided by 211.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 323, -318, -2, 3 in increasing order.\nAnswer: -318, -4, -2, -1, 3, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.980023 kilometers to millimeters.\nAnswer: 4980023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**2 - 976*z - 3898. Calculate v(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 1017584 in descending order.\nAnswer: 1017584, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2636900 is divided by 878957.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*g = 14*g + 32. Suppose -x = -4*b + g*x + 34, -4*b + 54 = 5*x. Suppose -b*k + 973 = 225. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (162657\/2805 + 5 + -63)\/(-1*(-6)\/(-10)).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2776928 divided by -1012\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14851170 and 28217223.\nAnswer: 282172230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 12, j: 6}. Give prob of sequence jccj.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5589, 8448, 16201, 31296, 56181, 93304, 145113?\nAnswer: 214056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 101 - 41. Let l = -20 + o. Solve l = d - 5*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 3606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18.48 and -0.2?\nAnswer: 3.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-70)\/22 + 3 - (-92)\/22. Suppose -m = 8*p - 36. Solve -p*w - 13 = 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x - 9 = 0. Suppose 0*s - s + d = -9, x*s = -d + 31. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22415, -86560, -193467, -343136, -535567?\nAnswer: -770760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 141600 a multiple of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -2, -43 in decreasing order.\nAnswer: 3, -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 11. Suppose w - d = -w. Let t = 6 - w. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20830577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 7 + -3*6\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -9*l**4 - 6*l**3 - 8*l**2 + 6. Let m(y) = 19*y**4 + 13*y**3 + 15*y**2 - 13. Let n(h) = -13*a(h) - 6*m(h). What is the third derivative of n(k) wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2126 times -0.2312?\nAnswer: -491.5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 802, 1559, 2316, 3073, 3830?\n\"Answer: 757*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -83 - (52 + (-95 - 135))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4991  (b) 53  (c) -8  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 270773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*d + 1020 = -4*z, -5*z - 1275 = -2*d. Suppose 1 = 2*h - 1, 0 = 4*x + 2*h - 1442. Let l = z + x. Calculate the highest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2\/2 + 93*x\/2 + 48.\nAnswer: -3*(x - 32)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*w - 8 = 0. Suppose -6*x = -11*x. Let r be ((-8)\/28 - x) + (-44)\/(-7). Calculate the highest common factor of r and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**2 - 6*d**2 - 2*d**2 - 3*d + 4*d**2 - d**4 + 1 - 2*d**3 to x*d**4 + o + g*d**3 + w*d + u*d**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -368082.3556 rounded to the nearest ten?\nAnswer: -368080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**2 + 7*u - 14. Let x be z(-7). Factor 5*c**5 + x*c**3 + 76*c**4 + 0*c**5 + 15*c**2 - 51*c**4.\nAnswer: 5*c**2*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1\/1568702?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 + -11)*(-1061)\/(-735). Let d = -3\/98 - c. What is the common denominator of -109*2*2\/48 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 175  (b) -3\/7  (c) 5  (d) 1  (e) 2\/3  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -6*28\/(-6) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -12  (b) 26  (c) -3  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(672)\/sqrt(2))\/sqrt(7).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -5*s**2 - 1 + 4 + 6*s**2 + 2*s - 4. Let x(y) = 2*y**2 + 2*y - 1. Let w = -2 - 2. Let z be 2 - (-4)\/(w\/5). Give z*l(q) + 2*x(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -396, -397, -402, -411, -424?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (4 - 2))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 - 2)*(1 - (-1110)\/36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92)\/(-371) + (-32 - 888\/(-28)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 + 11518*f + 56017852\/3.\nAnswer: 2*(f + 1811)*(f + 15466)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {u: 2, x: 2, i: 8}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*170\/(-80)*(1 - 25). What is the highest common divisor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 4*t + 3. Let r be q(-4). Suppose 2 = a, r*n - 4 = -n - 4*a. What is the closest to n in 1, 1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 19077877, 38155757, 57233637, 76311517, 95389397?\n\"Answer: 19077880*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 6  (c) 3  (d) 2  (e) -0.098\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h + 3. Let p(b) = -3*b - 4. Let l(g) = -4*d(g) - 3*p(g). Let w be 1 + -1 - (-5 + 4). Let x(q) = -1 - 2*q + w. Calculate x(l(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5  (b) 3  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 1 - 53*v**2 + v + 53*v**2. What is m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 0*l**3 + 0*l**6 + 0*l**5 - l - 1\/14*l**7 + 0 + 1\/6*l**4 + 0*l**2. Find the third derivative of t(d) wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(6*22))\/((-54)\/432).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1254\/(-792) - 16\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y - 58. What is l(16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 smaller than 463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.38+-152.494066\nAnswer: -152.874066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -729 + 1264. Find the first derivative of -j + 62*b**2 + 281 + 183 wrt b.\nAnswer: 124*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 364*q**5 - 85*q**5 + 967*q - 67*q**5 wrt q?\nAnswer: 4240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-45 - 82 - 270 - 283)*(y + 3 - 3) to z + m*y and give m.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (2 + 1) - 0. Let d = r + 3. Suppose -2*n + 1 = -5. Is d greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34446*i + 34421*i = 25. Which is the nearest to -0.06?  (a) i  (b) 5  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*b**2*v**4 - b**2*v**3 - 4348*b**2 - 2*b*v**2 - 139*v**3 + v**2 wrt v.\nAnswer: -240*b**2*v - 6*b**2 - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 32 = 4*g, -3*g + 0*l + 20 = -2*l. Let o = g + -2. Suppose -o*i + 4 = -8. Solve 0 = -h - h + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/8, -457\/2, -0.3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 341 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -822.9 - -866. Let p = o - 43. Let r = 0.004 - 3.004. Which is the biggest value?  (a) 0.5  (b) p  (c) r  (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 346376, 346387, 346414, 346463, 346540, 346651, 346802, 346999?\n\"Answer: c**3 + 2*c**2 - 2*c + 346375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 38*k**2 - 18*k - 75. Determine w(7).\nAnswer: 1661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 5:33 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1772.0821 + -1772. Let r = 37.1821 - n. Let g = 37.1358 - r. Round g to 3 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -27*k**7\/7 - 40*k**3\/3 - 15. What is the third derivative of h(g) wrt g?\nAnswer: -3240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12291040 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -563 + -12?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -2*c + 25. Calculate the highest common factor of 220 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2*w - 9 + 3 = 0, -2*l + 3*w = 17. Is -2\/41 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5196757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.13 + 0.87. What is the biggest value in -1\/3, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**31)\/(((l*l*l\/(l*((l\/l**36)\/l)\/l))\/l*l*l*l)\/l) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 528856 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*(d*d*d**5\/d)\/d*d)\/(d\/(d\/(d*d*d*d**(-15))*d)))\/(d\/((d*d**13\/d)\/d*d)*d**15\/d))**(-18) assuming d is positive.\nAnswer: d**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.144050474 - -0.14408. Round x to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(((-18)\/(-8))\/(-3)). Let x = -119 - -116. Is x less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3) - (6 - 6220\/960). What is the third biggest value in 1\/7, -0.1, r, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + -10)*(150\/(-35) + 4). Suppose 6*x - c*t = 5*x + 2221, 4*x - 5*t = 8878. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0*z)**3)**(-2\/61) assuming z is positive.\nAnswer: z**(-6\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -138 and 30?\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxsy when four letters picked without replacement from {b: 5, x: 1, s: 3, y: 3, m: 6}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 342075 (base 8) to base 7\nAnswer: 661350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 900929.\nAnswer: 900929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (227 + -225 - (0 + 0)) + 75 + 23.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 4 - (19 + -22)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1453 - 1460.006. Let x = j + 7. What is x rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.55, 4, -2, 20303 in descending order.\nAnswer: 20303, 4, 0.55, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1842 - -560. Let q be s*39\/(-4) + 53\/106. What is q rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m - 3*m - 1 - 1. Let b(c) = -3*c - 43. Let f be b(-13). What is j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 = 12*l - 165. Sort l, -5, 1\/2, 19 in descending order.\nAnswer: 19, l, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*z + 110. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = w. Let t(g) = -g**2 - 2*g + 5. Let b be t(-4). Sort b, 2, 3, w.\nAnswer: b, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s + 12, -666*p + 335*p = -322*p - 2*s + s + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2890, -2896, -2902, -2908?\n\"Answer: -6*l - 2884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*-1*21\/(-14). Let i be -51*(-1)\/1 - -1. Suppose c + j*c - i = 0. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -486 = 6*a - 15*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*5\/30*1*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*m - 19*m**3 + 21*m - 8*m**3 + 24*m**4 - 746*m**2 + 749*m**2 wrt m?\nAnswer: 576*m - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 8*u - 5*u - 143 = 0, -135 = -5*t + 5*u. Let n be 160\/t + -3*(-34)\/18. Factor -2\/3*s**2 - n + 16\/3*s.\nAnswer: -2*(s - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1163 - 460. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 18 = -u, -5*u + 3*w = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 14*s**2 - 21*s + 270. What are the prime factors of z(23)?\nAnswer: 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219 = c - 0*c + 3*h, -5*h = -4*c + 825. List the prime factors of (78\/10)\/(14\/c).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + -2 + 1 - -7. What is the third derivative of -m**2 - m**2 - m**6 - m**z + 4*m**2 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 12*r - 8. Let y(n) = 3*n - 1. Let s(x) = -2*x + 1. Let d(m) = 5*s(m) + 2*y(m). Calculate 4*c(b) + 11*d(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 + 96. Let t be 16 - (-1 - (-2 - -1)). Let m be (-1)\/3 - t\/(-3). Solve v = -3*h + m*f, 5*h - h - f + 24 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -44*v**3 + v**2 - 5*v - 14. Let h(i) = -2*i + 28. Let t be h(15). What is the hundreds digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from foroizozziozzxzzr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.167 + 0.067. Sort 1, 4, s, 2\/13 in increasing order.\nAnswer: s, 2\/13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5773*q - 5751*q - 264 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - 23. What is the common denominator of (-6)\/15 - 1 - z\/10 and 103\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1074400 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d - 6. Determine z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 4228, -6 in descending order.\nAnswer: 4228, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 10) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -44929429 bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 9 = 4*a. Let s(q) = 4 + 4 - 4*q**2 - 10*q**2. Let i(t) = 0*t**2 + 2 + 1 - 5*t**2. Give a*i(l) + 3*s(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -277, -608, -1001, -1456, -1973, -2552?\nAnswer: -3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 take away -7.62?\nAnswer: 7.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrxxrrrrrrrrrrrrrr. Give prob of sequence rx.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*l - 2322 + 9355 - 2338 - 2346 - 2349.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8443913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**2 + h - 2. Let u(x) = 3*x**2 + x - 2. Give -6*o(v) + 5*u(v).\nAnswer: 3*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1391384788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-21 - -6) - -18 - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 1. Let u(n) = -5*n**2 - 3*n + 2. Let g(j) = -3*q(j) - u(j). What are the prime factors of g(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/((-147)\/(-3))*(-308)\/(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q = -2*w - 32, -4*q + 3 = -5*q. Let v(f) = -9*f**3 - 6*f**2 - 7*f + 3. Let a(t) = 3*t**3 + 2*t**2 + 2*t - 1. What is w*a(j) - 2*v(j)?\nAnswer: -3*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21730798 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7899.8 and 365?\nAnswer: 2883427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/33 and 46\/451965?\nAnswer: 4971615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 7:53 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 5*v - 6. Calculate k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1231 (base 4) in base 9?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -7193.14972 to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 = 2*v. Suppose 3*a = -v*q - 3*q + 9, 0 = -5*q. List the prime factors of 1\/(a\/(-3)) + 16.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -825 and -1427 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*j**3 - 9*j**3 - 2*j - 245062972*j**2 + 245062972*j**2 + 2*j.\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29085?\nAnswer: 3, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5409765287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 5*h = 146095 - 146114, 3*m = -4*h + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -64784353 + 38284353. Round o to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -11. Let r be -1 - (56\/s)\/(-4). Let l = -2.2 - 0.8. Which is the nearest to r?  (a) 4  (b) -2\/9  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 523 a factor of 445391595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/15)\/r)\/(r*(r*r**(1\/25))\/r) assuming r is positive.\nAnswer: r**(-143\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -4. Suppose 0 = -q + 3 + 3. Find u such that 19*u**3 - 16*u**3 - q*u**d + 6*u**4 - 3*u**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -56 - -61. Suppose -15 = -x*n + u - 6*u, -11 = -3*n - u. Solve -12 + 0 = n*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 9:04 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 61*m + 1. Let r(k) = -122*k - 2. Suppose -33*j + 44 = 14*j - 25*j. What is j*r(h) + 5*q(h)?\nAnswer: 61*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/7 in -0.3, 2\/35079, 13?\nAnswer: 2\/35079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 21 = -6*h. Let u(o) = -2*o**2 + 1 + 4*o**2 - 6*o + o**2 - 3. Let f(w) = -5*w**2 + 11*w + 3. What is h*f(g) + 7*u(g)?\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-151)\/(-3475)) + 619\/((-42092)\/1564).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 303768529 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -666662*i + 10. Let q(l) = l + 1. Let z(s) = 6*q(s) - r(s). Let y be z(3). What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 5*f - 33. Suppose v + 2*w + 7 - 28 = 0, v - 5*w = 14. Let b = f - v. Solve b = 3*l + m + 1, -3*l = -0*m + 3*m + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 93825180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201917445.\nAnswer: 3, 5, 1811, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b**3 + 4*b**2 + 4*b - 2. Let v(o) = -6900 - 3*o**3 + 6901 - o**2 - o + 2*o**3. What is -t(a) - 4*v(a)?\nAnswer: -9*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n + 9. Suppose 0 = -7*j + 7 - 35. Let b be c(j). Put b, -2, -3 in ascending order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - 0 - (1 + -1). Suppose -v = 2 - l. Find the common denominator of -38\/5 and -2 - (0 - v\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 499179601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 332574151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2 - 22*d + 21 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(15\/(-4))*(-215)\/258.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 13) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**2 + 5*o. Determine v(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -3\/2*n**2 + 1\/12*n**4 - 1\/3*n**3 + 0 - 19*n. Let m(z) = 0. Calculate z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - -35) + -53 + 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*y - 2135 + 1095 - 1634 = 1390 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 - m + m + (4*m + 0*m - m)*(-2*m + 5*m + 0*m) + (m - 4 + 2 + m)*(-3 + 3 - m).\nAnswer: 6*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -392*r = 63774 - 81022 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 338718 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 6 + (-13 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 + 0)*(-2*k + 4 - 4) - 2 + 2 + 2*k - 4887*k + 2929*k + 2696*k as h*k + g and give h.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 116371633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -2*h - s, 3*s = -15. Suppose 2 = -5*o - 3*d - 4, -4*o - h*d = 10. Solve l + o - 1 = 2*v, 5*l = v - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1182039 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 103?  (a) 0.5  (b) -1  (c) -0.2  (d) -388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -8*p**3 + p**2 + 7. Let z(h) = -7*h**3 + h**2 + 6. Determine 4*s(o) - 5*z(o).\nAnswer: 3*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -4*n + 121. Let h be u(32). Let l be (-3 + 48\/28)*h. What is the highest common factor of l and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 411 is divided by 74.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1044\/(-90) + -1 + (-4)\/10. Let a(r) = 2*r**2 + 19*r - 4. Determine a(t).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yku when three letters picked without replacement from {y: 1, k: 1, i: 1, n: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -4*y + y + 4, 5*y - 3*d = 25. What is the greatest common factor of y and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53330.38 years to millennia.\nAnswer: 53.33038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 914756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*x - 62 + 266. Solve 4 + 2 = x*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11320613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2623099667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 299 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: Four letters picked without replacement from {y: 10, k: 1, z: 9}. What is prob of sequence yyky?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 153 + -150. Suppose l*w = -5692 + 21031. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10238.8777072 + -10300.8777. Let l = o - -62. What is l rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + m + 21 = 0, -2*m + 3 = 2*c - c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-60)\/(-8)*4\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 137249.\nAnswer: 137249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 6 = -4*j + 28, -17 = -5*j + l. Let d(h) = h**3 + 2. Let v be d(0). What is the derivative of -2 - v + m**j - 7*m**3 wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15e (base 15) to base 13\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3*-4)\/(5184\/2160)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-20)*-5)\/(39*9\/6318).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**4*s - 29*h**4 - 61*h**3*s - 46*h**2*s + 19*h*s wrt h?\nAnswer: 24*h*s - 696*h - 366*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45*w**2 - 208164*w.\nAnswer: -3*w*(15*w + 69388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -497.87 + 489. Let y = 9 + h. Let f = 0.43 - y. Which is the nearest to 0.2?  (a) -1\/4  (b) -5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + d + 51 = 3*y, 4*y - 3*d - 67 = 0. Calculate the remainder when 128 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12957 divided by -147?\nAnswer: 617\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-598)\/(-10166) - (-12)\/357*11\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 22 + 12 + 5*c + 15*c. Is x(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/701064 and 10\/54249.\nAnswer: 9113832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p**2 + p + 114. Let t be j(0). Let n = 205 - t. Suppose -o + 26 + n = 0. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*c**2 + c - 3*c**4 - 138 + 141 + 0*c + 4*c**4 - c**3 to o + a*c + j*c**2 + i*c**4 + r*c**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r**(-1\/3)\/r*r*r)*r)\/r)\/r)**22\/(r**(-9)*r*r*r**(-3)*r*r) assuming r is positive.\nAnswer: r**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7474 + -4852. List the prime factors of q.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5230998789 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 - -25. Let s = -8 - k. Calculate the greatest common divisor of 36 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 439*t - 25 + 25.\nAnswer: 439*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t + 16 = 0. Let y(s) = s**2 + 7*s. List the prime factors of y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102394 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + v + 5, -2*c + 4*v + v = -25. Solve 0 = h - c*h - 3*u - 14, 0 = h - 4*u - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -66*d + 1065. Calculate n(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -1) + -2 - (-2 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 - 17*z - 28. Let h be d(-6). Suppose -3*m = 3*f - 27, -m + f = 2*m - 11. Sort 0, m, h in ascending order.\nAnswer: 0, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 1, 12, 30\/43, -1\/7 in decreasing order.\nAnswer: 12, 2, 1, 30\/43, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1323501 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/40 and -137\/8334690.\nAnswer: 33338760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 7*m + 1. Let y = 7 + -14. Let r be i(y). Calculate the highest common divisor of 11 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-99)\/(-6)*(-7)\/((-21)\/12). Let p = n + -7. Suppose -4*z + p = -241. Calculate the greatest common factor of z and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -5*n, 0 = -3*c + 26 - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 7:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -295931, -591781, -887631, -1183481, -1479331, -1775181?\nAnswer: -2071031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.71 in 0.1, 0.01, 1\/4, 0, 4936?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 8. Suppose 5*t = 2*t - g. Let o(s) = -s**3 - 3*s**2 - 3*s. What are the prime factors of o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 320601?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -272.00000484 - -272. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -1332013301021?\nAnswer: 1332013301031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -34*3\/6*-2. Let n = d + 91. Let g = n + -89. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3 + 2 + 3*x**2 - 5*x - 4*x**2. Let b be i(-6). Let d be (3 - 3 - b) + -6. Let m(w) = w**2 + 5*w. What is m(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 315 - 320.9. Let z = -1.32 - 4.38. Let v = z - j. Which is the second biggest value?  (a) v  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 44 = d. Suppose -3*q = 4*p + 2*q - 83, 0 = -p + 5*q + 27. What is the greatest common factor of d and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -8*j + 1. Suppose -6 = -3*n - 3*x, -2*x = 5*n - 20 + j. Let m(u) = -3*u + 7. Let f(t) = 4*t - 8. Let c(z) = 2*f(z) + 3*m(z). Calculate c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.16*3.6379\nAnswer: -0.582064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542660 is divided by 5158.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*t + 8 = 0, -3*f - 11 = 3*t - 29. Let q(s) = -s - 1. Let l be q(f). What is the units digit of (-6 - -4)\/(1\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33840.21l in millilitres?\nAnswer: 33840210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -167773\/5 + 33555. Find z such that 4\/5*z - f*z**2 + 6\/5 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 4*t. Let q be (-190)\/(-45) - 1 - (-4)\/(-18). Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -51 - -334623?\nAnswer: 334542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.1 and 0.03170359.\nAnswer: -0.034873949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**2 - 816666*g + 3266712 = 0. What is g?\nAnswer: -272226, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + 4)*(-6)\/(-4). Suppose -4 = -5*v + 3*v. Let r be (48\/12)\/(v\/3). Calculate the greatest common divisor of r and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*c + 4*c - c)*(-6 + 0 + 4) + 1700*c - 962*c + 2653*c)*(1 + c**4 - 1).\nAnswer: 3389*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**4\/21 + 372*o**3\/7 + 52632*o**2\/7 + 617156*o\/21 + 153458\/7 = 0.\nAnswer: -277, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 78 - 77. Solve -3*z - 3*h + j = -4*z, 4*z - 5*h + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2545 + 873. List the prime factors of g.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3936103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3  (b) -48  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 2.3, 1 in decreasing order.\nAnswer: 11, 2.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s + 32. Let m be z(-6). Let y be 1*m\/20 + 46\/10. Solve 0*k - y = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 12:57 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -7  (b) 2\/9  (c) 0.5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 56. Suppose -x = -k - 13, -3*x + 83 = 2*x + k. Let s be l(x). What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111100110110110 (base 2) to base 3\nAnswer: -1120202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 + 20.965. Let g = j - 2.965. Let p be (-2)\/(-3)*3\/(-5). What is the closest to g in 0, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**3\/6 + 11*r. Let s(t) be the second derivative of -9*t**3 + 1504*t. Determine s(c(v)).\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3*c**3 - c**2 + 2*c + 27. Calculate p(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6)*h*h\/h**6)\/((h\/h**(-1\/7))\/(h\/(h\/((h\/(h\/h**(2\/29)))\/h*h)))) assuming h is positive.\nAnswer: h**(-2248\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 + 21. Let y = 1.0490819 + -9.0490771. Let h = y - o. Round h to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*c**5*i - 13*c**5 + 6*c*i + 87*i wrt c.\nAnswer: -580*c**3*i - 260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -0 - 6. Suppose 3*w - 6 = -l*i, -3*w + 13 = -4*i - 0*i. Find the third derivative of -8*v**3 + 6*v**w + 251*v**2 - 283*v**2 - 22*v**3 wrt v.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 362 + -338. What is the remainder when 34 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w. Let u(d) be the second derivative of d**4\/12 - 11*d**2\/2 + 2*d. Let c(t) be the first derivative of u(t). Determine c(l(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 9. Suppose 6*k - 3*k = -a. Let b be (-20)\/(-8)*(-8)\/k. Solve -t = 2*t + 9, -m + b*t + 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1408920, -1408929, -1408940, -1408953, -1408968, -1408985?\nAnswer: -1409004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*b - 20*b + 1 + 2)*(-2*b - 233 - 218 + 399) to a + g*b**2 + p*b and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = t - 20, -5*t = 2*w + 32 + 3. Let f(b) = -5*b - 5. What are the prime factors of f(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12686783?\nAnswer: 12686783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - u = 32. Let c(b) = b**3 - 9*b**2 + 7*b + 3. Let j be c(u). What are the prime factors of (j + -13)\/(6\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 5 = -5*g, -4*w - 8*g + 4*g + 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 2*y - 96, y - 303 = 49*g - 52*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2)\/l**(-3\/5))**(-2\/17) assuming l is positive.\nAnswer: l**(14\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 501 - 493. Solve -2*h + k = 9*x - 8*x, 5*x + 4*h - 16 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.23 times -124412?\nAnswer: -28614.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q + 2 - 1 - q**2 + 3*q. Suppose u = -2*g + 66, -g = u + 2*u - 43. Let t = g - 26. Give s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 - 10*z + 17. Let y be n(8). Let a = -16 - -16. Suppose a = -5*w + 56 - y. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32322867 to the nearest integer?\nAnswer: 5685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -442 + 444. Let 2\/3*a**4 + 2\/3*a - 2\/3*a**3 + 4\/3 - 2*a**u = 0. Calculate a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -5*g - 3, -4*l = 5*g - 9*l + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/12)\/((6\/(-5))\/(-3)). Let f(u) be the second derivative of -5*u + u**2 + 0 - t*u**3. What is the first derivative of f(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 206286219 to the power of 1\/2, to the nearest integer?\nAnswer: 14363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 15\/4*u**4 + 0*u - u**5 - 10\/3*u**3 + 154 + 0*u**2. Factor o(d).\nAnswer: -5*d**2*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86941056 divided by -3?\nAnswer: -28980352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02038376123 to six decimal places.\nAnswer: 0.020384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {f: 2, j: 5, n: 12}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3088*m + 8112 = 3296*m for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 9*c**2 - 8*c + 8. Let x = -3 - -43. Suppose 4*g - x = 2*v, v - 3*v = g - 10. Is y(g) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 84*q**3 - 4*q + 6*q**2 + 27*q + 17*q**2 + 25 - 85*q**3. Let p be m(24). Let z be -1 - ((-1)\/2 + 1). What is the closest to p in -2, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 7*i)*(-2*i**3 + 3*i**3 + i**3)*(-1 + 5 - 3)*(1 + 0 - 2).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2 - 16*r - 16. What is the lowest common multiple of h(-6) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ywk when three letters picked without replacement from prryrvprprrrppwwrkpp?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8274480 to the power of 1\/2, to the nearest integer?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 799724 (base 11) in base 10?\nAnswer: 1271978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -32, -20, 4, 46, 112, 208, 340?\n\"Answer: i**3 + 5*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 2*y = o - 8, -12 = -3*o + 3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {a: 4, z: 2, t: 4, y: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 60 = -8*t. Find the first derivative of -3 - 3*y**4 - t*y**2 - 41 + 17*y**2 - y**2 wrt y.\nAnswer: -12*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bofoobccooob. Give prob of sequence cf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 233824584 by -16701756.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 65463383005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5601.7 + -5602. What is the closest to -1\/3 in v, 2, 26, 0.152?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194*t + 653 = -1675 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8\/25 + -23\/25. Let u(m) be the second derivative of -m**3\/6 - m. Let p be u(0). Which is the second biggest value?  (a) 5  (b) k  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 8 = i. Let k(x) = 3 - 2*x - 6 + 0*x. What is the units digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6.18 or -20?\nAnswer: 6.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**3 - 23*k**2 - 9*k + 1. Suppose 0*w + i = 2*w - 21, 0 = 3*w - 3*i - 27. What is the remainder when l(w) is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/35)*i**20 assuming i is positive.\nAnswer: i**(702\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*u + 119*u - 349817 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 14) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-23370)\/16)\/(-5) - (-1)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 4572, 5, -26, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -927, -1993, -3249, -4701, -6355, -8217, -10293?\nAnswer: -12589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -41159, -29685, -18211, -6737?\n\"Answer: 11474*q - 52633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 q when four letters picked without replacement from wqwvvqvwfvhwqwq?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 0*s**2 + s**2 - 2*s**2 - 6*s. Let u(q) = 3*q**2 + 17*q. Let m(a) = 17*g(a) + 6*u(a). Let t(w) = 9*w. Give t(m(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 13*i**2 - 6. Let p be s(13). Let h be 18\/(-135) - (-2532)\/90. Let d be (-28)\/42 - h\/p. Solve -4*v - d = -a + 2*a, 0 = -3*a + v + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.501 + -4.701. Which is the closest to 1?  (a) 2\/37  (b) -7\/5  (c) 3  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - 93\/(-15))*150\/(-12). Suppose 2*b = 2*n, b = -1 - 2. Sort k, -1, 3, n in decreasing order.\nAnswer: 3, -1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -482*p - 431*p - 121*p - 35*p to the form q + m*p and give m.\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -2. Let o = -7 - k. What is the tens digit of (1\/o)\/((-1)\/34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.105 + 0.895. Let a be (-2)\/12 + (-475)\/2280. What is the closest to a in -1, r, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -917 in 5, -20, 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -8*v**2 - v + 933. Let x(p) = -4*p. What is c(x(q))?\nAnswer: -128*q**2 + 4*q + 933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 9*m**2 + 5*m - 19. Give z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-6)*d*d*(d**7\/d)\/d*d*d*(d*d**(1\/4))**(-10\/9))**41 assuming d is positive.\nAnswer: d**(1927\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2424\/(-40))\/(-2 - 44\/(-20)). Let s = -339 - h. Is s greater than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.04, -7, 1\/6, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118 and 14.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/8887  (b) -2\/5  (c) 3  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 169905 and 2625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (1164\/144 - 8)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 85 + 212 = 0. What is the lowest common multiple of 15 and j?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - m**2. Let a be f(-1). Let v(b) = b**3 + b**2 - 12. Let y be v(a). Let h be y\/(-2) + -3 - 12. Put -5, -3, h in increasing order.\nAnswer: h, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 343*y + 327*y + 348*y - 1360*y + 312*y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*p + 18*p + 180191 = 12560. Which is bigger: p or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11533 and 7.\nAnswer: 80731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (21 - 11) + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f + 5*f**3 - 2*f - f**3 + 7*f**3 - 2*f**3 + (0*f + 3*f - 4*f)*(-2*f**2 - 3*f**2 + 3*f**2) - f**3 + 6*f**3 - 4*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 224707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 675 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181778.\nAnswer: 2, 97, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of -2*t**3\/3 - 14*t**2 - 2*t + 10. What is the lowest common multiple of k(-10) and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide (-99)\/165 - (-936)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.7 and 5?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1595 - -901. Let l be (-3)\/r*60\/(-225). Let f = l - 20469\/3470. Find the common denominator of -58\/9 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a - 146. Let h(c) = -2*c + 73. Determine 9*h(j) + 4*q(j).\nAnswer: -2*j + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3785 or 3773?\nAnswer: 3773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 10. Let u = 6 + g. Suppose u*v = -v + 12. What is the highest common divisor of 33 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 11*i**2 + 13*i + 6. Let x be l(-7). Suppose 2*w - x = 119. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 518 (base 16) in base 3?\nAnswer: 1210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1159074 divided by -18?\nAnswer: -64393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -34856 less than -34861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 561887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135750055?\nAnswer: 5, 7, 229, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(4\/(-4) - -212). Suppose 77 = 2*u - z. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.709931 + -1.71. Round h to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(110) + sqrt(110))*5)\/sqrt(10).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 270 = -0*y. Let z be (-4)\/(-14) - y\/(-42). Let p = 29\/4 + -7. What is the third biggest value in p, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4547 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.1712175 rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -1\/4  (c) 0.3  (d) 0.18397449  (e) -0.3  (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -281\/27  (b) -1\/4  (c) 0.4  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38293447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 135 + 1672b8?\nAnswer: 16740d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 923 a factor of 45238970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*d - 5*d - 4*d)*(1 - 3 - 1) - 1 + 0 + 2*d - 1 as k*d + p and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106264 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6939625 divided by 39655?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 9*v - 5. Let r be j(9). Let t(f) = -f**2 - 10*f - 4. Calculate t(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1092*o - 3 + 47*o**3 + 1092*o as k*o**3 + y*o + j + t*o**2 and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -71*y**3 - 3*y**2 - 6*y - 4. Let q be c(-1). Find the first derivative of -37 + 47 - q*i**2 - 29 wrt i.\nAnswer: -140*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -3  (c) 108888  (d) 4  (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*j*l**3 + 11813842*j*l**2 + 124655*l**3 wrt l.\nAnswer: -24*j + 747930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(216) + -2*sqrt(216) + sqrt(216) + sqrt(216) + sqrt(216))\/(2*sqrt(72)) - 5*(sqrt(363) + 1*sqrt(363) + 5 + sqrt(363)))*5)**2.\nAnswer: 205000*sqrt(3) + 2032825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -160*c**2 - 5*c - 17. Let r(q) = 162*q**2 + 6*q + 19. Give 6*p(u) + 5*r(u).\nAnswer: -150*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -415\/6 + 967\/14. Let x = u - 17\/42. Let f be 9\/6*8\/(-18). What is the nearest to 1 in f, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 6 = 20. Let d be (-3 + (-7)\/(-3))\/(f\/(-87)). Let s be 4\/(-5)*(d - -34). Which is the closest to s?  (a) -1  (b) 3  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 932 + -13f?\nAnswer: 7f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -87, -4, 1, -3 in decreasing order.\nAnswer: 4, 1, 0, -3, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -3 + (-1 - (-7 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4068\/(-4520))\/((-45)\/(-870))\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 + 3*r + 3. Let t be p(3). Let o = t + 72. Which is bigger: 32 or o?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4058 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/3))**(11\/3)\/(d**4*d*d\/(d**(-2\/21)\/d))*(d**(1\/5)\/d**(3\/5))**38 assuming d is positive.\nAnswer: d**(-6638\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1546 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.88 + -110.12. Let s = h + 110.999999442. Round s to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwfw. What is prob of sequence ww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 37814280 to the power of 1\/2, to the nearest integer?\nAnswer: 6149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 4. Let g be x(-7). Suppose m + 7*p - 33 = 3*p, -43 = -g*m + 2*p. Let o be (m - 16)*1\/(-5). What is the nearest to o in 0.4, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1118786144?\nAnswer: 2, 7, 211, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -138038.2219 to the nearest one hundred.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 19 = 7*l - 2*l, -16*l - 186*x + 5 = -68*x - 121*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (0 + 7 - (-10 + 6 + -97) - -11).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - t - 4)*(t - 1 + 1) + 0*t**2 + t**2 - 3*t**2)*(-3 + 9 + 1) + (0*t - 3*t + 4*t)*(-5*t + 2*t + t).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 4*x**2 - 3*x + 4. Let g(s) = -s**2 + 7*s + 3. Let m(n) = 2*n - 3. Let q be m(5). Let k be g(q). What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 0*p = -12. Suppose -v + 3 = -h, -26 = -p*h - 0*v - 4*v. Suppose 11 = 3*k + h. Solve 5*s + 12 = k*r - 0*r, 4*r = -3*s + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -84590748*n**4 - 5*n**2 - 54231480 wrt n.\nAnswer: -2030177952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, 550, 1, 5, 1\/3, 0.0097?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1.2, 7, 5\/3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.9 and -60.3084.\nAnswer: -61.2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c - 306. Let q(u) = -1 + 29943*u - 29944*u + 2 - 1. Calculate q(s(z)).\nAnswer: -7*z + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, s: 1, k: 7, a: 1, n: 1}. What is prob of sequence kaks?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1187637 by 2409.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2321143 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.07 + 0.23. Let x = 0.07 - 5.07. Let r = x + 6. Which is greater: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6515.021 days in minutes?\nAnswer: 9381630.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 + 13. What is the smallest value in -5, l, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x = 54*o - 58*o - 74, 0 = x - 5*o + 29 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 4 - 0. Let d be ((-8)\/20)\/(g\/5). Let z = 20 + d. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 283 and -37.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -6802, -7, 0 in increasing order.\nAnswer: -6802, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 319 and 11099.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/(-336))\/((-7)\/(-56))*129\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2844 = 486*n + 3960 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -194*s**3 - 6*s + 4. Let x(u) = 195*u**3 + 5*u - 3. Determine 4*x(g) + 3*z(g).\nAnswer: 198*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 4. What is the third derivative of q**2 + q**4 - 6*q**z + 0*q**2 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 - 37*s - 5. Give m(18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.175 + -10085813\nAnswer: -10085813.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3014549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5572256189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -39*v + 5869. Determine l(301).\nAnswer: -5870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -155 + 110. Let c = 34.9 + k. Let j = c + 10. Which is bigger: j or -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-203)\/(-2)*(57\/399)\/(-3 + (-66)\/(-24))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -6*m - 1. Let k be a(-1). Let p(b) = -2*b - 2. Let u(n) = -4*n - 3. Let y(r) = k*p(r) - 2*u(r). Let z(x) = -5*x - 12. Determine -11*y(q) + 4*z(q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*b = 28*b - 24068. Let o = b + -485. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 361048 (base 11) to base 4.\nAnswer: 2023233132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(304) + -2 - (sqrt(209)\/(3*sqrt(11)))**2.\nAnswer: -37\/9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 - 8*k + 6. Let w be g(-8). Let m(d) = -9*d + 15. Let z(o) = 9*o - 16. Let j(x) = -4*m(x) - 3*z(x). Does 21 divide j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 5*j = 0. Suppose -a = -j*a - 22. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.04, 4\/5, -3\/7, 1\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 + 35. Determine d so that 4*d**3 + 226 + 2*d**2 + r*d**4 - 226 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/11 - (-1455)\/165. Let t(n) be the second derivative of n**5\/20 - 5*n**4\/6 + 3*n**3\/2 + 5*n**2 + 2*n. Give t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**2 + 6*a**2 - 4*a**2 + (5 + 2*a - 5)*(8 - 23 + 9)*(0 + 0 - 3*a).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 3100 = -2240. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 16*w**2 - w - 19. Determine s(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 3*i + k, 2*i + 168 - 191 = 3*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from mghpmgpvbgm.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = r - 0*r - 2*s, -3*s + 10 = -r. Is r at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6075908.\nAnswer: 2, 1518977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 - 24350*z**2 + 48647*z**2 - 24306*z**2.\nAnswer: 3*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 7, 1, 3 in decreasing order.\nAnswer: 7, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**3*x - 1836*s**3 + 5*s**2*x + 2*s**2 + 1706*s*x + 4*s wrt s.\nAnswer: 12*x - 11016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j - 1. Let c = -16 - -16. Let x(d) = 0*d**2 - 3*d - 7 + 10 + d**2 + c*d**2. Determine -4*v(w) - x(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -28, -160, -496, -1132, -2164, -3688, -5800, -8596?\n\"Answer: -16*w**3 - 6*w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -3649 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4512 minus 1041.24?\nAnswer: -5553.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468*x + 456*x - 1438*x + 508*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 13 + 13 + 10 - 5*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4672396*g**2 + 250*g - 250*g.\nAnswer: 4672396*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 7, 2\/5, 3 in ascending order.\nAnswer: -6, 2\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (13\/(-4))\/((-11)\/88).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -4  (c) 2\/5  (d) -0.18  (e) 80  (f) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4126393\/44 - 93777. Let q = 1909\/176 - n. Find the common denominator of -35\/34 and q.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000377553 to six decimal places.\nAnswer: 0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 0 + 301*b + 0. Let l(d) = 2*d**2 - 15*d - 5. Let n(x) = -5*x**2 + 45*x + 15. Let g(j) = 6*l(j) + 2*n(j). Give g(c(o)).\nAnswer: 181202*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29399?\nAnswer: 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(931) + 1)) + 4*sqrt(95)\/sqrt(5).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 344, 765, 1268, 1853, 2520?\n\"Answer: 41*d**2 + 298*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - k + 2. Let j be r(2). Let s be 4\/(-6)*18\/j. Let m = 5 - s. Calculate the smallest common multiple of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 715*c**3\/3 - 349*c**2 + 1700. Find the second derivative of l(p) wrt p.\nAnswer: 1430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 30. What is the smallest common multiple of g and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1049\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 0.0437, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w**3 + 28*w**2 + 60*w + 42. Let b(v) = -29*v**3 - 111*v**2 - 240*v - 169. Let o(x) = 2*b(x) + 9*f(x). Let o(d) = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence svzv when four letters picked without replacement from svsvvssszvzbzvzs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1, 0, -1 in descending order.\nAnswer: 1, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126, 204, 298, 414, 558?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -339*w + 27 = -37*w - 275 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -105280 != -105261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 minus 8216783509?\nAnswer: -8216783509.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -370795.0986 - -369616. Let y = x - -1179.57859908. Let o = y + -0.48. What is o rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 0.1, -3.2, 0.2, -11298 in ascending order.\nAnswer: -11298, -10, -3.2, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 702274 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152234369?\nAnswer: 7, 29, 749923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5318*-5.\nAnswer: -26590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lcxnlnnllndxnnl. What is prob of picking 1 x and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 19 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of 1\/4*f**3 + 3\/8*f**2 + 1\/16*f**4 + 2 + 1\/4*f. Factor o(t).\nAnswer: (t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4*(sqrt(190) + 1*sqrt(190)*-1))\/(-3*((sqrt(1000) - -4*sqrt(1000) - sqrt(1000) - sqrt(1000)) + sqrt(1000))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10239.\nAnswer: 3, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 11*z**2 - z. Let i be 4\/2 - 0\/(-8). Let c(t) = 2*t**3 - 5*t**2 + t - 2*t**i - 10*t**2 + t. What is 5*c(g) + 8*w(g)?\nAnswer: 2*g**3 + 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-52)\/8 + 4. Which is the nearest to i?  (a) 4  (b) 1\/4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/21)\/(26\/(1092\/(-6))))\/(10\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13.41?  (a) -1  (b) 4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -283 - -68 - -189 - (0 - 87).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1262087.001 seconds in weeks?\nAnswer: 2.0867840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17755221 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 574 = -5*p, -p - 2*p + x = 346. Let b = 118 + p. Solve -b*i = -3*c, i - 2*c = 3*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 47451?\nAnswer: -47454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 10*o + 6*o - 1 = 0, -3*g = o - 4. Let v = 529 - 535. Which is the smallest value?  (a) -3  (b) g  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1\/(-1) + 58 + 1260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -8*y. Let t = -19 - -35. Let q(h) = 3*h + 6*h - t*h + 6*h. Determine q(i(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 330778699 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (1289 - 5*k + 32*k - 1287)*(-2*k**3 + 2*k**3 + 3*k**3) as x + d*k**4 + r*k**3 + b*k**2 + m*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.3, -268263, -3 in ascending order.\nAnswer: -268263, -3, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -1097, -42 in decreasing order.\nAnswer: -4, -5, -42, -1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**3*t**5 + 2*g**3*t**2 - 61*t**6 - 1197*t**2 wrt t?\nAnswer: -180*g**3*t**2 - 7320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 4:19 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + (-4 + sqrt(176) + 1 + sqrt(176))**2 + sqrt(176)) + 1*(2 + (-2 + sqrt(176) + 1)**2))*3.\nAnswer: -8031 + 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 3*l - 8, 0*v + 3*l - 12 = 3*v. Put 9, v, 0 in ascending order.\nAnswer: v, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/2068 and -35\/18?\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1135213121 divided by 162173303\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 8*f + 2)*(f**2 + f**2 - f**2 - f**2 - 3*f**2 + 7*f**2 + (-5 + 3 + 0)*(7*f**2 - 2*f**2 - 4*f**2)) to u*f**3 + x*f**2 + g + q*f and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -7. Suppose -3 = -m - w. Let u = 6 - m. Solve 0 = -2*l + u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/516 and 49\/20796?\nAnswer: 894228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*o + 3959 - 999 = 134*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 + -3)*5\/2. Suppose 5 = 2*x + k*h, x - 2*h - 56 = -4*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**2 - 4*s - 146. Let g(f) = -4*f**2 - 10*f - 364. Determine -5*g(n) + 12*k(n).\nAnswer: -4*n**2 + 2*n + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.3  (b) 717  (c) -2  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1120)\/(-700) + (-14)\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 98*b - 206*b + 106*b + 133.\nAnswer: -2*b + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3bb3de9 - -d?\nAnswer: 3bb3e07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1600.217+-505\nAnswer: -2105.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -291 + 414. Find the third derivative of -10*q**2 + l*q**3 + 6*q + 4*q - 11*q - 58*q**3 wrt q.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*1*(-32)\/48. Let h(r) = 2*r - 2. Let y(w) = w**3 - w + 1. Calculate k*y(p) - h(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1535958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/((z\/z**(-2\/3)*z*z)\/z))\/z*z)**(-30))**(1\/5)*(z**2\/z)**46\/(z\/z**(-3\/7)*z*(z**(4\/3)*z)\/z) assuming z is positive.\nAnswer: z**(1097\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.76, -3208, -1\/6, -7, -0.2 in descending order.\nAnswer: 1, 0.76, -1\/6, -0.2, -7, -3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*g + 7*j + 1084 - 220 = 0, -4*j = -2*g + 54 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3 + 19995*k**2 - 1086291*k + 14694453.\nAnswer: 3*(k - 27)**2*(k + 6719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 + -31. Suppose u - 3*d + 10 = -0*d, -m = -4*u - d. Solve 4*y - u + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 2)\/((-10)\/(-25)). Solve -14 = q*h - 2*u, 2*h + 4*u + 11 = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2230174 + -1099826. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2 + 5*r + 2. Give f(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x - 50. Give n(-26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + 5*z**2 - z + 3. Suppose -34*m + 50*m = 80. Let j(u) = -u**3 - 6*u**2 + u - 4. Let l(q) = m*t(q) + 4*j(q). Suppose l(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/5511 and 75\/2652628.\nAnswer: 7957884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2 - z - 1. Let w(m) be the third derivative of -m**6\/120 + m**2. Let b be w(-1). Let i = b - 2. What is r(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76684 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 + 21 + 4*q + 32)*(-2*q + 17*q**3 - 38*q**3 + 17*q**3) to the form n*q + p*q**2 + k*q**3 + h*q**4 + y and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1421, 2775, 4113, 5435?\nAnswer: 6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q**2\/9 - 584*q\/9 + 21316\/9 = 0. Calculate q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + 0 - -4)\/2. What is the smallest value in 2\/9, 1, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -383*r - 956*r + 126*r = 47719 - 11329 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - 52. Find the common denominator of 34\/11 and (-33)\/m - (-446)\/(-60).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of x**4\/4 + x. Let q(g) = -68 + 132 - 64 - 2*g. Calculate q(p(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -303 - -314. Let a = 5 - -7. Let x = z - a. What is the third smallest value in x, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1728 + 6?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 29 - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -20.9. What is the closest to o in 6, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*80\/(-192)*(-3)\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62674, 125349, 188024, 250699, 313374?\nAnswer: 376049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 8*x = 222. Let s = -67 + x. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4042.\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1686 + 1708. What is the remainder when 219 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3923 - -4012. Solve 12*n = q - 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*o = -2 + 7, -2*v - 3 = -o. What is the third smallest value in 5, v, -0.8, -174?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*(1 + 52 + 18)*(2*v + v - 2*v).\nAnswer: 71*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/9))**28\/(y\/(y*y**(-1\/2)))**(-23))**(-10\/7) assuming y is positive.\nAnswer: y**(-475\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -248 - -251. Solve -5*a + t*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*o + 3*s, -s + 7 = 3*o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r + 18 + 10 - 28. Let v(k) = 5*k - 1. What is 4*q(f) - 2*v(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 123\/560 and 11\/48360?\nAnswer: 677040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48.68334386 + 0.31664884. Let a = -49 + u. What is a rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -1217*a**2. Let g(k) = -k**2. Determine g(v(z)).\nAnswer: -1481089*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*s + 86*s + 518 - 176 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 8*i - 4*w + 1512 = 0, -5*w = 0. Is 36 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*o = -23831 + 2256839. List the prime factors of o.\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 3*k + 5. Suppose 2*g + 0*r + 15 = 3*r, 3*g + 51 = -5*r. Let q be ((-4)\/g)\/((-1)\/9). Let b be z(q). Solve b*o - 6 = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 32226*i.\nAnswer: -3*i*(i - 10742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y. Let l(i) = -29579*i**2. What is l(d(a))?\nAnswer: -29579*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l + 14*l**2 + 1 + 0*l - 5 + 4*l**2 to the form i*l**2 + y*l + a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + p + p + 22 = 0, -85*p + 84*p = w - 1 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v + 3. Let c = -8 + -6. Let t = 18 + c. Calculate k(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -17, -25653, 0 in descending order.\nAnswer: 0, -1, -17, -25653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*(1\/(-24))\/((-5)\/(-10))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -38) + -36 + -2 + -9 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 44*a**2 + 2*a - 2. Let r(z) = 2*z + 17. Let f be r(-8). Calculate the remainder when h(f) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvvqlss. Give prob of sequence qlv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 279681 and 4126614.\nAnswer: 218710542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 5*y = 30, 3*j + 3*y = -27 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1840, 1842, 1844, 1846, 1848, 1850?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -22  (b) -16  (c) 3  (d) 148.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 160\/69?\nAnswer: 160\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-18)*(-385 + 179) - 184\/8.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 14685984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4848 - 2532. What are the prime factors of w?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44236899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -74249*f**3\/4 - 148153*f**2\/4 - 73559*f\/4 + 345\/4 = 0?\nAnswer: -1, 345\/74249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 4 - -5 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 16) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 201 + -202. Let d(t) = -35*t + 1. Let w(k) = -69*k + 2. Let i(v) = 5*d(v) - 2*w(v). What is the tens digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hihx when four letters picked without replacement from {x: 3, i: 1, h: 3, z: 6}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 53293659143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9884, 13276, 16668, 20060?\n\"Answer: 3392*p + 6492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 13*o - 14. Suppose 2*l = -2*l + 408. Let c be l\/10 + (-10)\/50. Is x(c) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209280 (base 14) in base 11?\nAnswer: 6920a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1957\/5 at least -391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide (-266)\/(-8) - (2 - 11\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/4*14\/(-21). Let g(p) = p**3 - p**2 + p. Let w(k) = -2*k**3 - 5*k**2 + 9*k + 1. Let o(z) = l*w(z) - g(z). What is o(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/1254937207?\nAnswer: -2\/1254937207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 162*p - 162*p - 30*p**2 as x*p + d*p**2 + v and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 125*r**3 + 132*r**3 - 2*r**2 + 5 to k*r**3 + d*r + b + q*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -2340, -0.4, 5 in ascending order.\nAnswer: -2340, -5, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8802\/1615 + -104\/19. Let i = 9\/340 - d. Suppose -1065*y = 785*y + 661*y + 2511. Is y != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 2:16 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38538 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: Convert -11 (base 9) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 11*q**2 + 26*q + 1. Calculate w(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a day in minutes?\nAnswer: 21024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 6 = -4*p. Suppose 0 = 5*q - 4*h, -p*q = 2*q + h - 21. Sort -2, q, -6 in ascending order.\nAnswer: -6, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 3:14 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - 3*k**2 + 0*k**2)*((-3 + 3 - 1)*(2 - 2 - 2*k) + (3 - 7 + 1)*(1 - 2*k - 1)).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21697830 and 80073.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -0.8914278865.\nAnswer: -0.8914278865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*b + 22*b + 30*b + 0*b to the form k*b + h and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 6*k**2 - 3 + 5 + 0 to the form g*k + a*k**2 + r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3854 - 3651. Calculate the remainder when 539 is divided by b.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2187, -3, -1 in descending order.\nAnswer: 2187, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 18*r + 18. Suppose 0 = 5*o - 78 - 12. Let k be j(o). Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9060 or -63416\/7?\nAnswer: -63416\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 26, -0.1, 22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13148620.\nAnswer: 2, 5, 657431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2161*v - 17290. Give z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 6*r**2 - 2*r. Let s be k(-4). Suppose -5*b + 5 = -8*v + 3*v, b + 1 = -v. Let g be (b + -1)\/((-3)\/(-72)). Do g and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 140754702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1 + (-3 - 2 + 3)*(-2 - 4 + 4) + 3 + 1 - 1)*(q + q - 3*q) + 19 - 7*q - 19.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12359.\nAnswer: 17, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 - -62. What is the third derivative of 23*i**5 - 3*i**4 - 545*i**2 + 558*i**2 + 3*i**n wrt i?\nAnswer: 1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/55062570 and -117\/100?\nAnswer: 550625700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 1. Let o be h(2). Suppose 11 = o*j - 4. Let n(a) = a**2 - 3. Let y be n(-5). Solve -j*d - y = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 282367, 566752, 851135, 1135516, 1419895, 1704272?\nAnswer: 1988647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*h = 6, 5*h = -5*b - 0 - 25. Let j be (-3076)\/(-52) + b\/13. Which is greater: 58 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 6*f**2 - 17*f - 136. Give m(-8).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-132)\/(-20) + (-6)\/10 + (0 - -5). Let z be 0*((-2)\/1 + 3). Let j be (-1 - z)\/(3\/(-165)). What is the greatest common factor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 6:49 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(2) + (-1 + sqrt(10)\/sqrt(5))**2.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -53, 3 in descending order.\nAnswer: 3, -2, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 5 - -5 - (-7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4*sqrt(6292)*1 + -5 + sqrt(6292) + -3)*1)**2.\nAnswer: -28160*sqrt(13) + 2517824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.68 + 0.32. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -a**3 + 1. Let j(h) be the third derivative of h**5\/10 - h**2. Calculate j(d(m)).\nAnswer: 54*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**2 - 2*m**2 + 8*m**2 + (-38*m - 30*m + 9*m)*(2*m + 0*m + 0*m) - m**2 - 4*m**2 + 3*m**2.\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -8 - 1, c = 2*h - 15. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbvvfjb. What is prob of sequence jb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p + 2. Let s(q) = -69*q - 18. Let x(n) = -18*j(n) - 2*s(n). Let w(l) = 2*l**2. Give w(x(f)).\nAnswer: 20808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 53565*p**3 - 1 + 2 + 53570*p**3 - 107131*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 10:37 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -32, -29?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -385\/212 + 7\/4. What is the common denominator of 73\/20 and k?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -2\/15  (c) 104\/75  (d) 21  (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 316 - -83. What is the closest to 2 in -5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 129\/408430 and -109\/2450580.\nAnswer: 2450580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 92*h*t + h - 188*t wrt h.\nAnswer: 92*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + 12, 6*s - 5*s + 1 = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 113 + 6*s + 114 - 231. Give v(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -687*a - 2555 = -692*a. Calculate the greatest common divisor of a and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -506587*y + 1821277 with respect to y.\nAnswer: -506587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of -79*c**3\/6 - c**2 + 496*c. Let p(b) = b**2. Give p(z(y)).\nAnswer: 6241*y**2 + 316*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 15*q**4 + 25*q**3 + 15*q**2 + 5*q + 5. Let k(b) = -7*b**4 - 12*b**3 - 7*b**2 - 2*b - 2. Let l = -50 - -48. Let j(f) = l*s(f) - 5*k(f). Factor j(p).\nAnswer: 5*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-183)\/366)\/((-34)\/(-32)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h + 6. Let g be t(7). Let i(q) = 27*q**2. Let l be i(g). Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 35*n - 369. What is i(15)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/4*(2\/(-8))\/(6\/(-24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, m: 3, e: 4, n: 3}. Give prob of picking 1 t and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/8*(-960)\/(-24) + -3. Solve -l - 3*l = -3*u + y, -5*l = 2*u + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 35*u - 129. Let k be h(5). Let d = -87 + 136. Suppose d = 5*l - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/36*40\/(-4)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 755165 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**3 - 106*l**2 - 92*l + 34. Let w(y) = -y**3 - y + 1. Suppose -k = -2*a - 0*k + 15, -a + 2*k + 12 = 0. Let v(p) = a*w(p) - i(p). Factor v(c).\nAnswer: -2*(c - 14)*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7669 + 396836993.\nAnswer: 396836992.2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/3 + 2783*d\/3 + 2782\/3.\nAnswer: (d + 1)*(d + 2782)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -5*t**2 + 6*t + 27. Let o(f) = -11*f**2 + 13*f + 55. Let g(y) = 13*b(y) - 6*o(y). What is the units digit of g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-6) - 322\/(-3). Let g = p - 53. Is g\/4 + (-1)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15131032 (base 9) to base 11\nAnswer: -42766a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43.72 - -43. Let m = -0.22 - x. What is the closest to 0 in 2, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -67.08 - -67. Round j to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 6*(2*sqrt(245)*-4 - sqrt(245) - (-1 + 0 + sqrt(245)))*-1*-3*-5.\nAnswer: -91 + 6300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 + 5*j**2 - 6*j + 12. Give o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 0. Let s be (2 + -1)*c + 2. Suppose 0 = 6*y - s*y - 36. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41\/2, 1\/117, 0.61 in ascending order.\nAnswer: -41\/2, 1\/117, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 135*r - 2798. Calculate the least common multiple of m(22) and 7.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4529278041296+0.42\nAnswer: 4529278041296.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = 1. Suppose 5*l - j*k = 93 + 47, 5*l = -3*k + 140. Suppose l = -3*h + 4*h. Calculate the highest common divisor of h and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19497.7 + -19495. Is w < -16\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 481 - 493. Let d(u) = u + 3. Calculate d(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130330222010 (base 4) to base 2.\nAnswer: 11100111100101010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 5. Let l be (2 - m)\/((-2)\/30). List the prime factors of l\/(-4)*(-4)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 11148709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80195*53.\nAnswer: 4250335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -48.44 - -48.54. What is the closest to 52 in 7, 2, -1\/5, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f**3 - 6*f**2 + f + 8. What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202009 divided by 45?\nAnswer: 202009\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (23 - -10) + (-3)\/(-1). Suppose -5*i - y = 3*j + 39, -5*j + i = 97. List the prime factors of 312\/5 + (-12)\/j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 94983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113240 + -4143?\nAnswer: 104042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**3\/6 - 5*o + 3. Let j(w) = 2*w**2 - 98. What is z(j(h))?\nAnswer: 2*h**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**4\/(m\/(m**19*m)) assuming m is positive.\nAnswer: m**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2634*a - 42*a + 204 - 134 + 199 - 268.\nAnswer: -2676*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110205 (base 10) to base 15.\nAnswer: 229c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(3\/(-1)) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -500*n + 6071 = -4429 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2932089 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -273*a**2*z**4 - 137*a**2*z - 934*z**6 + 168*z**2 wrt z.\nAnswer: -6552*a**2*z - 112080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 337973 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -6*r**3 - 3*r - 13. Let u be 2\/(-2*8\/4)*6. What are the prime factors of m(u)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 6:14 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)*5 + -2)**2*-3 - (-5 + sqrt(18)\/(sqrt(36)\/sqrt(144))).\nAnswer: -5407 + 354*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 15*g - 6*g + 0 + g**2 + 3 + 0. Calculate the smallest common multiple of 3 and r(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -c**8\/336 + c**7\/105 - 13*c**4\/24 + 2*c**2 - 13*c. What is the second derivative of d(x) wrt x?\nAnswer: -20*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -1156?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.13 + -12.87. Let k = 1.57 + 11.47. Let b = k + c. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 24. Let p = 33 - 13. Calculate the smallest common multiple of c and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 436398553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**3 - 17 + 4*n**3 + 18 - 5*n**3 to o*n**3 + z + j*n**2 + i*n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/5, 48, -3, -7\/17, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*t + 15*t**2 - 31*t**2 + 10*t - 545*t**2 to the form j*t + d + o*t**2 and give o.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2513\/60 - 632\/15. What is the closest to 1 in 2\/5, -19, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70109815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g**3 + 80*g**2 - 3*g - 53. Give q(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3 + (-5*sqrt(180))**2 + -5.\nAnswer: 4487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -998.9459 to zero dps.\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of 0 - 1\/12*z**4 + 3*z**2 + 2\/3*z**3 - 7*z. Determine w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*w - 69 = 0, k = -3*k - 2*w + 66. Let f be k\/20 - (-5)\/4. Suppose -y = -f - 3. Let d(o) = -3*o + 6. Calculate d(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.01 - 1. Let z be (-4820)\/975 - (-1 + 1). Let l = z - -66\/13. Which is the third biggest value?  (a) -5  (b) m  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 4*q - 5*q)*(-1 + 2 + 0)*(q + 6*q - q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 115 and 45.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w - 9. Let c be u(6). Let t = 11 - c. Suppose -4*o - t*b - b = -682, -330 = -2*o + 4*b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-8)\/36*13392\/(-279)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2 - 1 + 2 - 2 + 0 - 1 + 0 + (0 - 1 + 0)*(-4 + 3 + 0) - 3 - 2 + 3)*(0 + 3*x**2 + 0)*(3 - 3 + 1) + 2*x**2 - x**2 + x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 468*g + 5 - 1 = 466*g + 5*h, -g - 2 = 5*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 353*a - 785*a + 33 - 66 + 35 as i + t*a and give t.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**4\/12 + 4*c**3\/3 + 39*c**2\/2 - 7*c. Is 13 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + h - 5 = 0, 4*w - 2*h + 10 = -0*h. Suppose 2*p - 2 = w, -p + 4*p + 216 = -3*n. Round n to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 9*b**2 + 4*b - 9. Let i be z(9). Let h = 55 - i. What is the remainder when 27 is divided by (h\/(-16))\/(1\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2026633 = 71*w - 10790074. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from teyyyyemeeyeyeeetey.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q + 1. Suppose -2*m - 3*p = -2, -2*m + 5*m - 29 = 2*p. Let r be j(m). Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.46 + 0.06. What is the biggest value in p, 5, 3\/5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52932.\nAnswer: 2, 3, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -156488.9922489 - -156489. Round g to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13835 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**4*y**(-2\/13))\/(((y*y**(3\/10))\/y)\/(y**(-1\/4)\/y)))**37 assuming y is positive.\nAnswer: y**(-45251\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - (-4 + (-1 - -3) + 0). Find c such that -c**5 + 16*c**4 - 4*c**3 - 16*c**3 + 8*c**2 + c**t - 4*c**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q = 14*q - 5*r + 115, -2*q - r - 46 = 0. Let z(h) = -h**3 - 30*h**2 - 17*h - 38. Let v be z(q). What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**2 - u - 2. Let o be x(1). Suppose -o*z = 8, 4*g - 3*g + 2*z = 8711. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56798780?\nAnswer: 2, 5, 2839939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-43 + 20 + 18)*(-6 + 8 + 6)*(-3*q + 4 - 4) + 3*q + 2*q - 3*q as k*q + n and give k.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 4*r = 29628, 29643 = 4*j - 9*r + 10*r. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2 = 8. Let b(g) = -g**3 - 4*g**2 + 7*g + 4. Let a be b(d). Let f be 76\/6 + 4\/a. Solve -5*k = 5*q + 15, -9*q + 5*q = -5*k + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18334 divided by 9167\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/5*75\/(-10). Calculate the remainder when 33 is divided by (-8)\/b*(-11)\/((-176)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/5 + 396\/20. Let n(d) = r*d**2 - d**3 + 19*d**2 + 3*d - 41*d**2. Give n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -g + 67. What is the highest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -c**4\/12 + 4*c**2 + 9. Let s(z) = -29*z - 3. Determine s(j(h)).\nAnswer: 58*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*j + 3*j = -330, -3*y - j = -194. Suppose 9*u + 5*q = 8*u + y, -3*u = 3*q - 219. Calculate the highest common divisor of 150 and u.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -3*m + 3*f, 0*f - 2*f = -4. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2 - 2. Find the first derivative of -2*f**2 + 2*f**2 + 2 - 3 + f**o wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 51997*j**2 - j. Let i(p) = -222*p**2. What is a(i(y))?\nAnswer: 2562620148*y**4 + 222*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -332 + -25157756?\nAnswer: -25160310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 100*j - 4741. Calculate l(47).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*2 - (1 - 5). Suppose -c*p + 28 = -4*p. Let l = 26 - 16. Calculate the lowest common multiple of l and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70624818101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 0)\/((-16)\/(-24)). Let b be (-6)\/(-18) + (-1)\/d. Solve -5*s - 3*o + 29 = 0, 4*s = -b*s - o + 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79 (base 10) to base 11.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 4*h + 4*g - 7 + 30, -157*h = -5*g + 755 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 707818584 rounded to the nearest 10000?\nAnswer: 707820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 13*y**6\/120 - y**4\/24 + y**3\/6 - 28*y**2. Is 2 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/480180 and -25\/954.\nAnswer: 1440540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-1620)*-3)\/((-2)\/8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 258593 by -45.\nAnswer: -258593\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27502 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 2*v - 2, -5*v + 4*q + 4 + 3 = 0. Suppose 0 = -3*g - 2*g + v*f + 41, 0 = -2*g + 5*f + 24. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y - 4. Let u be b(-1). What is the remainder when 26 is divided by u + 3 + 5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-4))\/(-3*(-1)\/(-6)). Is 2\/197 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3114 = 203*v - 197*v. Calculate the highest common divisor of v and 6401.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10434 by 1107.\nAnswer: 3478\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (17\/2)\/(5\/(-10)). Let f = -10 - s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 0.2  (c) 0.1  (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6980991 to the nearest integer?\nAnswer: 2642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*z + 25. Let t be (-1)\/(-1) - (3 - z). Suppose 4*a = -3*h + 8*a - 228004, 4*h + t*a = -303997. What is h rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 5 + k - 2 - 4 as t*k + q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 55 and 50 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41194 + -40764. Let h(u) = -u**2 + 15*u - 6. What is the remainder when k is divided by h(6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -47053, -94393, -141733, -189073, -236413, -283753?\n\"Answer: -47340*i + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 78, 89, 100, 111, 122?\n\"Answer: 11*u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h - 9. Let m(n) = 2*n + 8. Give 6*m(f) + 5*q(f).\nAnswer: 7*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 76174968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(209)*2)\/(sqrt(11) + sqrt(539)*-1))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**4\/3 - 8*c**3\/3 - 6*c**2 + 9.\nAnswer: -(c - 1)*(c + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*w**3 + 1071 - 1071 + 2886*w**2.\nAnswer: 19*w**3 + 2886*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 21*q**2 + 32*q - 86. Give b(-17).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*z**2 + 209*z**2 - 417*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.1 + -0.9. Let p = -7 + 10. Let f = p + w. What is the smallest value in -0.5, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 11:20 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.07197 from -11.02626968.\nAnswer: -10.95429968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -355*k*v**6 - 7*k*v**4 - k*v**2 - 1118*k*v - v**3 wrt v?\nAnswer: -42600*k*v**3 - 168*k*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*n - 13*n - 19*n)*(-7 - 3*n**2 - 40 + 1727*n - 1710*n).\nAnswer: 3*n**3 - 17*n**2 + 47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 4*h - 4. Let s(p) = 4*p**2 - 12*p + 13. Let v(f) = -19*j(f) - 6*s(f). Suppose -5*q - 11 + 1 = 0. Calculate v(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.504308 years in centuries?\nAnswer: 0.02504308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 458259817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 67. What is the closest to y in -0.1, -3\/4, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 4. Let r(p) = p - 2. Let a be r(4). Let q(n) = 7 - 39 + 6*n**a + 59. What is 27*h(b) - 4*q(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77571147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1.36*13.6\nAnswer: -18.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/(-2104)*(-128)\/880. Is d at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/7)\/(7\/(-245)). Suppose -4*n - h = -t, 0 = -0*n + 4*n - 2*h - 36. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 1848*k. Let h(b) = b**2. Give a(h(t)).\nAnswer: 1848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/16)\/(2165\/18186)*40\/6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 5*t - 3. Let z be k(-7). Suppose -r + z = 7. Let 12*q**r - 6*q**3 - 48*q**2 + 47*q**2 - 19*q**2 + 4*q + 2*q**3 + 8 = 0. Calculate q.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r. Let l(c) be the third derivative of -39*c**2 + c + 0 + 0*c**3 - 3\/2*c**4. Give l(s(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 8. Let y be j(-4). Let v be (-38)\/95*(-2 - y)\/(-2). Suppose -6*x = -v*x - 156. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 16*d**2 - 2*d + 23. Calculate f(-16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (37540\/30 + (-6)\/(-9))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 2*c. Determine r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, z: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 26160 (base 7) in base 2?\nAnswer: 1101100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 70, 108, 146, 184?\n\"Answer: 38*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 125.09 + -128. Let a = -2 - -2.11. Let z = a + h. What is z rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1156348.\nAnswer: 2, 23, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4 = 32. Suppose 0 = 3*m + 3*z - 75, -3*m - z + 40 = -29. Calculate the remainder when m is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1391 or -2266?\nAnswer: -2266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8554 and 364.\nAnswer: 17108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3 = v. Suppose -3*s = 5*f - 49, -4*s + 3*f + 2*f + 7 = 0. Suppose -v*p + 4 = -s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 2:39 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - i = 3*i - 20, 0 = 5*u - 4*i + 20. Which is smaller: -5\/9 or u?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/5 + 0)*-5. Let o(m) = -4*m + 1. Let g(y) = 7*y - 1. What is w*g(x) - 5*o(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 96795 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3763*v**5 + 3*v**2 - 3301*v + 6. Let z(m) = -2*m**5 + m**2 - m + 2. Let j(w) = -n(w) + 3*z(w). Find the second derivative of j(r) wrt r.\nAnswer: 75140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4937271120 to the power of 1\/3, to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24450, 55941, 87432?\nAnswer: 118923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rcya when four letters picked without replacement from {r: 1, a: 1, c: 1, y: 1, l: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*r + 16. Let i(t) = -t**3 + 4*t**r + 2 + 14 - 20 + 4*t. What is i(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) 365\/7  (b) 114  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i + 3*i**2 + 0 - 73*i**3 - 1 + 2*i + 71*i**3 to v*i + h*i**2 + b*i**3 + c and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -4*x + 76 - 42, -5*r = -2*x + 32 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -3, -0.4, 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -353.686 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q**2 + 1 + 0 - q**2 + 6 as n*q + w + j*q**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 8, -2 in descending order.\nAnswer: 8, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -233, -445, -657, -869?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-10 + 14 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 2*r + 4. Let o be l(4). Is (-5892)\/(-20) - o\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) -24\/5  (c) -3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 6 = 0, -10 = 2*m + 5*g + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/5 and -91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1 + sqrt(7))*3 + -1 + ((3 + -1 + sqrt(7))**2 + sqrt(7))*6 + -3).\nAnswer: -165*sqrt(7) - 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 10:14 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*x = -0*r + 2*r + 47*x - 34, -2*x + 8 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1c74 + 11?\nAnswer: 1c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5971*m = -5968*m - 51 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/((-6)\/22) - (32 - 2222\/66). Let 54 - 66*g - 2\/3*g**3 + w*g**2 = 0. Calculate g.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123\/(27060\/(-550))*(-1)\/5*118*-2?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/1239738 and 7\/2176.\nAnswer: 1348834944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25120*s + 4784 = 25419*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*m - 76*m = 0. Suppose 0 = 4*g + 3 - 11. Which is the nearest to 0?  (a) g  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((1 - 0) + -1)\/1. Suppose -4*f + 5*i = -o*f + 13, 3*f - i - 4 = 0. Suppose -207 = -5*p + f. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 532 = -3*y + 181. Let z = -64 - y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + (4 - 4))\/2. Let k(t) = 17*t - 1. Let i be k(s). What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 5*h + 2*h - 2*h + 4*h**2 - 4. Let r be y(-3). Suppose 4*w - 5*d = 819, -2*d - 2*d + r = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*w + 251*w - 15*v = 0, -20*v = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -338, -730, -1136, -1556, -1990?\n\"Answer: -7*n**2 - 371*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l = -20*l + 100 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g = 9*g - 2330. Which is bigger: g or -235?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(21*b**2 - 9*b**2 - b**5 - 27*b**2) + 158 - 6*b**5 - 158.\nAnswer: -7*b**5 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12308.5939781 + 12308.6. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.635 times -0.4\nAnswer: 1.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**3 - o**5 + o**3 + (-2*o**2 + 3 - 3)*(-7*o**3 + o**3 - o**3).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/34 - (-3478)\/18870. Let b(p) be the first derivative of 6 + 0*p - x*p**3 - 1\/5*p**2. Factor b(j).\nAnswer: -j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14175 and 7230825?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*f - 4*f + 18*f**2 + 13*f + 8*f.\nAnswer: 18*f**2 - 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -431\/16, 7, 0.2?\nAnswer: -431\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*y + 4*v, 0*y + 3*v - 9 = y. Let z = 7 - 5. Let n be z\/(y\/(-3) + -5). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 + o**2 + (-4*o + 4*o - 2*o)*(2*o - 1 + 1) - 107 - 18*o**2 + 105 + 4*o**2 as a + r*o + n*o**2 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3381257 and 4126.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16675123?\nAnswer: 37, 277, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 4*p - 3. Let q be 1*(-3 + (2 - 5)). Give v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d**3 - 63*d**2 - 62*d - 32. List the prime factors of n(23).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 1 - 3 - (10 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 109655, 219225, 328795, 438365?\nAnswer: 547935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3743800 is divided by 248.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.08 - -0.08. Let t be 1\/(-28) + 2\/(-8). What is the nearest to t in f, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-11)\/(-2)*1\/2. Let f = -9\/4 + a. Factor -1\/4*i**2 - f*i - 1\/4.\nAnswer: -(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*c + 3245 - 971 + 2093.\nAnswer: 42*c + 4367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/5, -45, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3\/13 + 54\/65. Which is the closest to -0.3?  (a) k  (b) -1.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h**2 + 2*h + 19. Let m(t) = -5*t**2 - 2*t - 20. What is -6*m(i) - 7*s(i)?\nAnswer: 2*i**2 - 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-50)\/(-5))\/(0 + 2). Let b = z + -12. Is (b - -6)\/((-2)\/74) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*2\/(-50))\/((-13716)\/(-51435)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 11) to base 16\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -5. Let f = 1.5 - d. Which is the third biggest value?  (a) 0.1  (b) f  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2383\/10 - 238. Let k = -4569\/2 - -2234. Find the common denominator of o and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 0 - (-2 + 1). Let m(q) = 4 + i - 6. Let t(a) = -a**2 + 3. What is 3*m(x) - 2*t(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -622 (base 8) to base 4\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*j**3 - 190*j**3 + 942*j**3 - 156*j**3 - 195*j**3 - 191*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75273866?\nAnswer: 2, 4079, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 467312 - 9*f - 233670 - 233642.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 18 = i, 4*f - 2*f - i - 6 = 0. Suppose 10 = -j - f*j. Is j + 1 - (-93 - 0) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - y - 2. Let h(i) = -i**3 + 13*i**2 + 13*i + 11. Suppose -4*a - 13 = 3, 32 = -2*x + 2*a. Let k = x + 34. Let p be h(k). Calculate l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 25 = 0, -8*b + 7*b = 2*u + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1462424, 2924785, 4387122, 5849423, 7311676, 8773869, 10235990?\n\"Answer: -2*x**3 + 1462375*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) + (1*sqrt(22) - sqrt(22)))\/sqrt(2) - sqrt(121)\/(1*sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 18*r - 52 = 0. Put -3, -9, r in descending order.\nAnswer: r, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 6. Let w be 3\/c + (-13 - 8). Does 7 divide w\/4*-8 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8, 4\/5, 1\/2, -6, -1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1213123 (base 4) to base 7.\nAnswer: -25204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.35, -0.5, -15, -409 in decreasing order.\nAnswer: 0.1, -0.35, -0.5, -15, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(-9 + m**4 + 24 - 2*m**4).\nAnswer: -2*m**4 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -12. Let z = h - 7.87. What is z rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, y: 5}. What is prob of sequence yi?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8740943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*m*o**2 - m*o + 39351*m - 108*o**5 - o**2 - 2 wrt o?\nAnswer: 26*m - 2160*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -2. Let i = 3 + -3. Let b = j - i. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -22*d - 11. Let u be y(-6). Let v = -52 + u. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.01 + -0.41. Let o = -963.7012 + 961.7. Let l = o + 0.0012. What is the nearest to -0.1 in l, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -161*h**2 - 14*h + 42 - 28 + 160*h**2. Suppose 2*i + 16 = 4*p, 0*i - 4*i + 3*p - 47 = 0. What is the lowest common multiple of t(i) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2841 divided by -6981.\nAnswer: -947\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 8 + 3)*(1 - 1 + n**2)*(-5 + 2 - 4)*(-4 + 3 + 3)*(0 - 4 + 7) to u*n**2 + s*n + p and give u.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*v**2 + 10035*v + 10005*v - 20040*v.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67, -188, -523, -1180, -2267?\nAnswer: -3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2*s - 1572, -s + 1179 = 3*j - 4*s. Suppose 4*f - j = 3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -286816, -286687, -286554, -286417, -286276?\nAnswer: -286131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**4\/24 - g**2. Let s be 135\/(4 - -1) + 4 + 1. Let d(p) = -3760 + s*p**2 + 3760. Determine z(d(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 127 - q**3 - 20*q + q**4 - 129 - 28*q in the form t*q**2 + w*q + n*q**3 + c*q**4 + r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u - 26. Let w(f) = 2. Give -14*w(g) - 2*z(g).\nAnswer: 2*g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*l + l + 277, 0 = 3*f - l - 423. What is the greatest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 8 = 22. Let v = 93 - 89. Solve z + v = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 350216 divided by 87554\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 781 = o, -14*o + 15*o = 8*x + 763. Which is smaller: o or 785?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101000100000 + -11?\nAnswer: -1101000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*n + 7*n + 4*n)*(-3*n - 18 + 18) - 3*n**2 + 0*n**2 + n**2 as t + i*n + q*n**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40638 and 84.\nAnswer: 568932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 12:16 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13165740)\/66)\/(-6) + (-4)\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 157 + -187.3. Let u = f + 30. Let l = -83 - -79. What is the third biggest value in l, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/((u*u**(-8\/7))\/u*u*u))*u)**(-35)*u**(1\/17)\/(u\/u**(-4)))**(-1\/23) assuming u is positive.\nAnswer: u**(1189\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*a - 5*a + 3528 - 3558 to t + i*a and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9 or 284\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j + 1. Let h(f) = -11*f + 6. Let t(a) = h(a) - 5*v(a). Calculate the remainder when 13 is divided by t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 101, 2, -4 in increasing order.\nAnswer: -4, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((0 - -2) + -3 - -3)\/2. Sort l, 4, 9 in descending order.\nAnswer: 9, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 38  (b) -1\/7  (c) 3  (d) 2  (e) 7124  (f) -17  (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*6\/72 - 43\/20. Let r = t - -14\/5. What is p in -2\/5*p**2 - r*p + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/153 and (-234)\/1496 - ((-205)\/20)\/41.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k**2 + k - 6. Is 8 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 2, 0.1, -0.024, -336\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -4*v**2 - 7*v - 9. Let j(t) = 3*t**2 + 0*t**2 + 3*t**2 - 8*t + 19*t + 14. Give -5*j(d) - 8*q(d).\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 800223 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74949 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u - 9*u + 4972 = 0. Let g = u - 228. Suppose 3*x - 1 = -10. Put -1, g, 0, x in decreasing order.\nAnswer: 0, -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from ynynnnnnnnngnn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -0.5, -1\/9, -1\/121?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 4*z + z)*(14 - 14 + 10)*((1 - 1 - 2)*(9 - 17 - 16) - 1 + 5 - 3) in the form k + x*z and give x.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 541514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165*z**6 - z**4 - 378*z**2.\nAnswer: 19800*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/900666 and 25\/3394818.\nAnswer: 44132634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 4, 290, -1, 6.\nAnswer: -3, -1, 4, 5, 6, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c088 + 334?\nAnswer: c3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a**4\/3 - 284*a**3\/3 + 433*a**2\/3 - 52*a = 0.\nAnswer: 0, 4\/7, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 82255 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-10) + (3 - (-48)\/40). Solve p = -5*o + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -332.2 and -0.023.\nAnswer: -332.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 42*i + 14.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -g**5\/70 + g**4\/7 + 25*g**3\/21 + 18*g**2\/7 + 29*g. Let b(a) = 0. What is a?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1, 2, 0.02, -9 in ascending order.\nAnswer: -9, -0.1, 0.02, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -155 - -13?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 176, -1, 4, -7956 in decreasing order.\nAnswer: 176, 4, -1, -7956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 1257.1\nAnswer: 628.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -2\/13, 1\/4, -1\/7, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -80, -128, -180, -236, -296, -360?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at least -385133896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q*q**9)\/q)*q**3\/q)\/((q*q**(-3))\/q**(1\/5))*((q*q**14\/q*q*q)\/q**(1\/19))**(1\/55) assuming q is positive.\nAnswer: q**(-3668\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18632\/(-170)*(-140)\/8 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e25 + 15?\nAnswer: -e10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 + 2*i - 2. Let j(l) = 7*l**2 + 2806*l + 1976842. Let g(w) = j(w) + 3*y(w). Factor g(r).\nAnswer: (r + 1406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 49420351 to the nearest integer?\nAnswer: 7030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/14 - ((-111)\/21 - -1). Solve -7 = 2*x - 5*r + 23, -2*r + 28 = -o*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 10) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((70\/(-825))\/7)\/((-2)\/(-10)). Which is the third biggest value?  (a) f  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*h**2 - 11 + 11 + 48*h**3.\nAnswer: 48*h**3 + 45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2155635*f*t*v**2 - f*v**3 + 586895*t*v**3 + 10*t*v wrt f?\nAnswer: 2155635*t*v**2 - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 5*m - 15, 52*m - 50*m = -5*q - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3700 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2 + 178. What is the greatest common divisor of 40 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 304 divide 556320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42857, 85716, 128575, 171434, 214293, 257152?\nAnswer: 300011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/10)*x*x\/x**(-11\/4))\/((x\/(x\/x**(1\/5)))\/x**(2\/5)))**(-2) assuming x is positive.\nAnswer: x**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1) + 118 + -104 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -11*f**3 - 5*f**2 + 6*f. Let r(b) = 39*b**3 + 18*b**2 - 21*b. Let i(q) = -2*q**2 + 2*q + 42. Let j be i(6). Give j*s(a) - 5*r(a).\nAnswer: 3*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24764.67ng to tonnes.\nAnswer: 0.00000000002476467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 divided by 4?\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 12221216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 363\/(-77) + (-10)\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**5\/60 - w**3\/3 - 4*w**2. Let d = 6 + -8. Let f be l(d). Solve -31 = 3*h - 4*z, -3 = -h + f*z - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22977697111116468401469423161\/34459542939487232730 - -92345\/476059168881498. Let k = f + 666802144. Let d = k - -2\/2335. Which is greater: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 7 = -w - 15, 0 = 4*f + 4. Let g be w\/14*2*-1. Put -3, 7, g in ascending order.\nAnswer: -3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4 = 0, 76 = -3*g - 2*g + 3*y. What is the common denominator of (2\/8)\/((-3)\/129) and (-125)\/g + (3 - 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - y = 0, 133*y = 2*g + 138*y. Solve g = -3*b - 8*b + 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = f - 0. Let w(s) = s + 6. Let p(g) = -7 - 7 - 5 - 4*g. Let h(z) = 2*p(z) + 7*w(z). Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.225 - 0.18. Let t = s - -2.955. Let f = -0.88 + t. What is f rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 578b + 15?\nAnswer: 57a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 131*a + 3649. What is b(-93)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3612)\/(-32))\/7)\/(15565\/6226*6\/(-10)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60918 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5543 - 0.0543. Which is the biggest value?  (a) 0.1  (b) 7  (c) o  (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h**2 - 13*h**3 + 12*h**5 + 6*h**2 - 144*h + 121*h**5 + 26*h**4 - 131*h**5 + 105*h**3 = 0. What is h?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + r = 5*w + 26, -3*r - 10 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence smp when three letters picked without replacement from puupuppppsptm.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 462 = -3*c. Let m = -150 + c. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 4*m = -36, 3*v - 2*v - 5*m - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 126616313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -238646 + 1?\nAnswer: -238645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 44, 83, 132, 191, 260?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/1063 - -5603\/153072. Calculate the common denominator of 101\/132 and t.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2675.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1089400 and 1590524?\nAnswer: 79526200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10011102 + -10?\nAnswer: -10011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(5 + -6 - 4\/(-3)). Let l be (20\/15)\/(1\/(-3)). What is the closest to k in -1\/8, l, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (88\/(-4))\/(1 - 3). Let g(w) = 780 - 1549 + 765 + w**2 - 11*w. Give g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 31484882903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*w**3 + 134 - 71 + w**3 - 63.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 10.27, 62.\nAnswer: 0.4, 10.27, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 392 - -0.01199145.\nAnswer: 392.01199145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 20*i - 7. Let w(g) = -4*g**2 - 6*g - 3. Let f be w(-3). What is the remainder when 69 is divided by k(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-63)*450\/(-200)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**5 + 1133*g**2 - 9*g + 78?\nAnswer: -20*g**3 + 2266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -5*d**8\/8064 + d**7\/1008 + d**6\/480 + d**5\/720 + d**4\/12 - 3*d. Let w(r) be the third derivative of f(r). Factor w(u).\nAnswer: -(u - 1)*(5*u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 6:15 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1292, 2340, 3386, 4430, 5472?\n\"Answer: -l**2 + 1051*l + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1007, 1009, 1009, 1007, 1003?\n\"Answer: -i**2 + 5*i + 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kzuukulzuyzu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -11195 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, r: 2, s: 8, d: 5}. Give prob of picking 1 d, 1 r, and 1 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 3) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -5*i - 167, -3*i = -4*a + 33 + 72. Let n = -2891\/3 - -955. Find the common denominator of n and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.115, -2\/9 in descending order.\nAnswer: -0.115, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 1164?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 453*c**2*j**2 + 8*c**2 + 3054*c*j + 160907*c + 8*j**2 with respect to j.\nAnswer: 906*c**2*j + 3054*c + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 - -0.201461.\nAnswer: 0.301461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**3 - 2*x**2 + x + 1. Give i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -5*v - q, 130*v - q = 133*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*w = -13*w - 774. Solve o - 6 = -o + 5*x, -5*x = 4*o + w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 387, 678, 1149, 1788, 2583, 3522, 4593?\n\"Answer: -2*b**3 + 102*b**2 - b + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**3 + 1253680 - 1253665 - k**3 - 11*k + 2*k**2 + 2*k**3 + 3*k**3 - 4*k**3 + (-7*k + 3*k + 2*k)*(-2*k**2 - 4*k**2 + 4*k**2).\nAnswer: 4*k**3 + 2*k**2 - 11*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3)*j*j\/(j\/(j**(3\/7)\/j)*j)*(j**(-4)\/j)\/(j**5\/j*j))**(-1\/5) assuming j is positive.\nAnswer: j**(208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 8*c - 1. Let f be b(9). Suppose -h - h = -f. Is 1\/(h - 735\/185) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 56 + -89057?\nAnswer: -89001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87113229 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-10) - (-46)\/10. Suppose 5*b = 3*x - 12, 4 = 4*x + c*b - 12. Let s be x\/(-6) - (-44)\/12. Solve s*p - 5 = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 22393.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -a**4\/4 - 17*a**3\/3 + 21*a**2 + 81*a - 63. Let j be q(-19). Solve -10 - 15 = j*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9.6 + -2402.16\nAnswer: -2411.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1057 + -3119\/3. Let n = 865 + -7769\/9. Calculate the common denominator of n and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 8:34 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**3 + d**2 - d. Let n be a(1). Let f(q) be the second derivative of 0*q**n + 0*q**4 - 1\/20*q**5 + 0 + 1\/6*q**3 + q. Factor f(t).\nAnswer: -t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -951, 1654, 5999, 12084?\nAnswer: 19909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 336\/14*(-6)\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.95 - 0.05. Let z = q + 9. Let t = 0.872 - -17.128. Put 0.1, t, z in ascending order.\nAnswer: 0.1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**20*z\/z**(-1\/3)*((z*z**(-6\/11)\/z)\/z)**43 assuming z is positive.\nAnswer: z**(-1489\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 12 = u, 97504 - 97576 = -15*h + 3*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -13, -34, -55?\n\"Answer: -21*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3211062 divided by -3211062\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 o, and 1 g when three letters picked without replacement from jtogogocjgoc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4*r**2 + 4*r - 40. Let p = 258 + -254. Let d be x(p). What is the greatest common factor of d and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 143137 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 3 = -0*n. Let a = 6 - 3. Let o be a\/((-10)\/8 + 2). Sort n, 0, o in increasing order.\nAnswer: n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32.1 - -32. Let y(s) = s**2 + 5*s + 7. Let m be y(-4). Suppose m*i + 7 = 13. Which is the second smallest value?  (a) 2\/5  (b) i  (c) w  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50108?\nAnswer: 2, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 441*w + 4*j + 8 = 440*w, j + 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96981201.\nAnswer: 3, 389, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -467 - -627. Which is bigger: s or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(((-5)\/(-45))\/(1\/6)). What is the second smallest value in -6, -1\/6, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1807 - 13*h - 1748 - 1745 - 1747 + 7047.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + w**2 + w - 1. Let p(k) = 6*k**3 + 5*k**2 + 5*k + 79995. Let s(t) = p(t) - 5*q(t). Let o be s(0). What is o rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -6*y - 6*y**2 - 2*y**2 + 5*y. Let q be b(1). Let d(s) = -s + 16. What are the prime factors of d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73224 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: (9 - (7 + 98\/21))\/(10\/(-15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*k - k + 580, 4 = 4*n. Do -585 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -37. Let l = 32 - g. Let p(f) = -3*f**3 + 3*f**2 - f - 2. Let k(h) = -5*h**3 + 4*h**2 - 2*h - 3. Let i(u) = -5*k(u) + 8*p(u). Determine i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 280 and 5670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 74 = 10*p + 245 + 75 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*j + 215, -37 = -z + 3*j + 53. Let c = -49 + z. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*x - 3*x - 68 = 0. Find the third derivative of g**4 - 3*g**2 + g**x + 3*g**4 - 6*g**3 + 3*g - 23*g wrt g.\nAnswer: 120*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*h - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 2*t - 13. Let f be w(5). Suppose -2*o + 17 = -69. Let k = o + f. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 14.2 and -284025.\nAnswer: -284010.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 0 = -6. Suppose 11 = s*n - 5. Let i be n\/9*11\/(-44). Is i >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 10*l + 4. Let r(u) = -1. Let k(h) = -6*r(h) + z(h). Is k(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -263 + -54126699037.\nAnswer: -54126699300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*m - 5*m + 4*m)*(4*m**3 - m**3 - 2*m**3) + 40*m**4 - 19*m**4 + 1 - 19*m**4 as k*m + b*m**4 + l*m**3 + r*m**2 + f and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5985\/21 + (-9 - (-2 + 2 + -6)) and 4230?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 + 7 + 121\/(-45) and 55\/129.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.9893 + 0.0107. Let t = -3 - -2.96. Which is the second biggest value?  (a) h  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -57*y**2 + y. What is t(-1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 - (6 + 32 + -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-2*s + 4*s - 3*s)*(0 + 8 - 3)*(2*s**2 - 2*s**2 - s**2).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.241231 centuries in years?\nAnswer: 924.1231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-18))\/(3676\/(-173691))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 + -2 + 10 - -7) + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2. Let i(x) be the third derivative of x**5\/10 - 2*x**2. Determine -i(t) + 8*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 656420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**20\/w)\/w)\/w*w*w*w**(-5\/6))**(-36\/7) assuming w is positive.\nAnswer: w**(-690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 50*f**2 - 3*f + 5*f.\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -625*p**2 + 1574100*p - 991116324.\nAnswer: -(25*p - 31482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1577 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v + 3232 = 3*v + 17508. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12770749 at least as big as -12770747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h + 7*h + 4*h - 2*h - 3*h**2. Let v(m) = -m**2 + 5*m. Calculate 5*n(z) - 12*v(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*v + 3681*v**3 - 18*v - 3639*v**3.\nAnswer: 42*v**3 + 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*o + 6*o + 965. List the prime factors of o.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 440 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of -k**4\/24 - k**3\/2 - 10*k**2. What is d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3840 + -2599. What is the remainder when k is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35952\/(-2568))\/(6\/1)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 12201100?\nAnswer: -12201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 7*n - 355. Let i = 239 + -259. Let y(q) = -8*q - 90. Let w be y(i). Is n at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -64166*q**2 + 8*q + 8. Suppose 1 = -y + h, -45 = 5*y - h + 4*h. Let u be d(y). Round u to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pkkp when four letters picked without replacement from {k: 5, p: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.06 - 0.022. Let d = -4.162 - z. Let w = d + 4. What is the third smallest value in 3, -2, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.19 - -0.71. Let j = o - 0.8. Let s = j + 0.3. Which is the biggest value?  (a) 1  (b) -0.1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40277?  (a) 2\/3  (b) 3  (c) -1\/2  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -5)*-1 + sqrt(175)*-4.\nAnswer: -21*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 134807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/4 + (-8)\/60 + 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5875002 + -3492857. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 302001*q + 1. Let n(c) = -3*c + 5. Let f be n(2). Let v be h(f). Round v to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6463095206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n - 5*n + 2*n. Let t(w) = 2*w + w - w. Give p(t(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s\/s**(-1\/5)))**3*(s**(-1\/6))**(-7\/9) assuming s is positive.\nAnswer: s**(683\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 219661 divided by -18\nAnswer: -219661\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3178131 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5138186?\nAnswer: 2, 2569093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**2 - 22*p + 85. Let f be z(-20). Is f <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -0*t + 10. Let a = t - 3. Let m(z) = -3*z - 4. Let g(c) = c + 1. Calculate a*m(h) - 2*g(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*j**5 - 14*j**4 - 85*j**2 - 38798*j wrt j?\nAnswer: 80*j**3 - 168*j**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 37c5 (base 13) in base 4?\nAnswer: 1323333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - 2*j - 4*j + 5*j - 3*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.46 - -0.04. Suppose 4*s = 4*p - 56, -2*p = 5*s + 2 + 5. Which is the second biggest value?  (a) n  (b) 1\/6  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/104 and 89\/502?\nAnswer: 26104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 - 30. Let y be (r - -7)*(3 + -4). Do -3 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, z: 5, p: 5, m: 1}. Give prob of picking 1 p and 2 e.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217559657?\nAnswer: 7, 4439993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, z: 10, g: 6}. Give prob of picking 1 g and 1 z.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j + 8. Let l(i) = -4. What is 3*d(z) + 5*l(z)?\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11884 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 - -8. Let q = s - -18. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 38 + 4. Suppose -5*x + 3*j + 24 = 0, -4*x - j + p = -12. What is the units digit of (4\/x)\/(6\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-116)\/(1856\/(-32)))\/(2*14\/(-40)).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 203807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-2)*8\/(-6). Let u = -5 + w. Suppose -4*h + 5*f = -1685, 0 = -h + 5*h + u*f - 1675. What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p = 3*q + 11*p + 23, -4*q = -4*p + 68 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.7 + 19.3. Let r = v + -47. Let i = -22 - r. Which is the third biggest value?  (a) 3  (b) i  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 w when four letters picked without replacement from {m: 2, w: 4, y: 3, x: 1, k: 1, l: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -3*i - 8 + 110, 5*i = 5. Let y = -80 - u. Let h(x) = 27 - x - y + 2. Give h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -19 - 16 + 35 + 4*b**3 + 4*b + 8*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 + 0)*(-l + l + l)*(4 - 9 - 9).\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*2*(sqrt(162) + -2*sqrt(162)*-6)*-1 + 4.\nAnswer: -234*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 970430 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/(-35) - -1)\/(12\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 3:17 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-2 - -14)*4\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.53?  (a) -0.26  (b) 6  (c) -1\/5  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -250 * 0.4564.\nAnswer: -114.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5238746753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(2*i**2 + 2*i**2 - 2*i**2)*(3 - 3 - i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -51661*d**5 - 806*d - 15 wrt d?\nAnswer: -1033220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: bb7a (base 14) to base 13\nAnswer: 11a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110101110 + -101110111?\nAnswer: -110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvwwv. What is prob of picking 1 w and 3 v?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 12:32 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 5 = -3*t. Suppose 0 = -0*n + t*n. Is n less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 + 1)*(-4 + 4 - 2*s) + 0*s + 3*s - 4*s + (0 + 3 - 1)*(-s - 3*s + 2*s))*(-5*s - 2*s + 5*s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -b**3\/3 + b**2\/2 + 2*b + 2. Let t be 1 + 0 + 2*(-5)\/(-10). Suppose r + t = -3*o - 1, 12 = -4*r + 3*o. What is n(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-6))\/((-1)\/(-2)). Let k be 1 + 0 + y + 3. Let m(p) be the third derivative of p**6\/120 - p**5\/10 + 5*p**4\/24 - 2*p**3\/3 + p**2. Give m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/3 in -10241, -1\/2, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8, 33, 98, 187?\n\"Answer: 12*x**2 + 5*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41499340117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39676 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -10. Let l = 10 + -9.94. Are l and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2561, -2552, -2529, -2486, -2417?\n\"Answer: a**3 + a**2 - a - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16968, -33926, -50884, -67842?\nAnswer: -84800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*g - 3216 = 11*g. Suppose 20*w + g = 12*w. Is 4\/(2 - 0) - w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 divided by 1?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7)\/v*v*v**(-16)*v)**(-5\/12) assuming v is positive.\nAnswer: v**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 - b**2 - 5*b + 2. What are the prime factors of g(4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, y: 1, d: 2, u: 3, x: 5, j: 1}. Give prob of picking 1 w and 3 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6410548 + -0.134.\nAnswer: -6410548.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4319, -12377, -25807, -44609?\n\"Answer: -2686*c**2 - 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0361 - -0.022\nAnswer: 0.0581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mnh when three letters picked without replacement from {n: 5, x: 2, h: 2, m: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 5*t - 4. Let m be t + -10 - (-1 - -2). Let a(f) be the first derivative of f**3 - f**2\/2 - 2. Determine a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -567*24\nAnswer: -13608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**3 + 43*p**2 + 5*p - 15. Let x be o(22). Let m = 421 + x. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*x + 11*x - 27*x + 44*x**2 + 10*x as a*x + m*x**2 + u and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 575*s + 571. Determine y(574).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -34*l**3 - 3*l**2 + 2*l - 3. Let z(b) = -68*b**3 - 7*b**2 + 5*b - 7. Determine 14*y(x) - 6*z(x).\nAnswer: -68*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/15)\/(31 + (-12410)\/400)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 1 - 3 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -108 - (1964 + -2011)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l - 2. Let x be n(-2). Let m(f) = 0*f - 2*f - 6 + x*f - 2*f. Let w(p) = -2*p - 5. Let y(q) = -5*m(q) + 6*w(q). Let z(k) = -4*k. Give y(z(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 62\/221 - 31835\/3978. Calculate the common denominator of -63\/10 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0  (c) 3  (d) -4\/5  (e) 0.01  (f) 32  (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 333876 divided by 6.\nAnswer: 55646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2 - 1022*r + 1020.\nAnswer: 2*(r - 510)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 816 and 49368?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -n + 98, -3*m = n - 5*n + 67. Does m = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + n + 5 = 0. Solve k + n = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -1406?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*j + 34*j - 264 = 0. Suppose -j*c = -3*c - 27493. What are the prime factors of c?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.8 - -0.3. Suppose -5*c + 8 = -c. Suppose 0*w - c*w + 18 = 0. What is the smallest value in z, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) 5  (c) -609  (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 + ((-3)\/1 - 52). Let i be 94 - ((-12)\/10)\/(18\/d). Round i to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 1764882 = 2*x. Let t = x - 267294. What is t rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(5\/7)*v**(2\/31)*(v*v**(-7\/2))\/(v\/v**11) assuming v is positive.\nAnswer: v**(4027\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -625, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 160078 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -34, -0.1, -2.61, -3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -39*q**4 + 8*q**3 - 8*q - 1. Let n(o) = 13*o**4 - 3*o**3 + 3*o. Let v(x) = 3*j(x) + 8*n(x). What is the first derivative of v(p) wrt p?\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86507 = -8*s + 97317. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**3 + 2*m**3 - 3*m**3)*(2403 + 2071 + 405) + 0*m**3 - 2*m**3 + m**3.\nAnswer: -9759*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1089335.\nAnswer: 5, 13, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1194, -1198, -1186, -1152, -1090?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24095 divided by 5.\nAnswer: -4819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3119, -3252, -3419, -3638, -3927, -4304?\n\"Answer: -3*q**3 + q**2 - 115*q - 3002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 1:54 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*i**2*q**3 + 11*i**2*q + 22*i*q**3 - 36*i*q**2 wrt q.\nAnswer: 72*i**2 + 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -39*f + 3. Let w be z(3). Let y = -58 - w. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-u - 3*u + 2*u)*(142*u - 33*u + 39*u)*(0 - 2 + 3) to the form m + j*u**2 + q*u and give j.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*0.4203.\nAnswer: 3.3624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 6*s - s - 19, 0 = 2*s + 4*m - 14. Suppose -s*f + 105 = -0*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 263*s + 261*s + 265*s - 795*s + 15.\nAnswer: -6*s + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1 + 3901)\/(10 + (-576)\/60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3885*h*t**2 - 5*h*t - 33658*h - t**2 - 39 wrt t?\nAnswer: -7770*h*t - 5*h - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 18 + 17. Let d(z) = -z**3 - 6 + 14*z + 295*z**2 - 300*z**2 - 6*z. What is the tens digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -132?  (a) 114  (b) 3\/4  (c) -1\/4  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 5709?\nAnswer: 5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4220 and 28340.\nAnswer: 5979740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1856488.11 to the nearest one hundred.\nAnswer: 1856500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8900 + 3224*o**4 - 8352 - o**2 + 17743 - 5*o + o**2 wrt o.\nAnswer: 38688*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*l + 600 = -0*l, 0 = -3*j - 5*l - 600. Let k be j\/(-16)*4\/35. Find x such that k*x**4 + 0 - 8\/7*x**2 + 16\/7*x - 2\/7*x**5 - 12\/7*x**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/5 - 48203*l\/5 = 0.\nAnswer: 0, 48203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 20\/17?  (a) 176  (b) 0  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6359*z**2 + 6359*z**2 + 10 - 3*z**3 as l + s*z**3 + y*z + j*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/6066 and 61\/8?\nAnswer: 24264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*z = -28*z + 5. Is -3\/13 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -w**4\/6 + 1174*w. Let l(z) = -99*z. What is d(l(s))?\nAnswer: -19602*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*j + 14652, -j = j - 2*h - 9784. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23150 divided by -4630?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5553, 1, -5, 43.\nAnswer: -5, 1, 43, 5553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**2 + 173*a + 3761. Calculate z(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 y, and 1 f when four letters picked without replacement from wwtsfswtswwwysw.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus 1268?\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1004095 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*y + 6124 + 101794 + 37018 = 1259*y for y.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4166581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396) + (sqrt(396) - sqrt(396)*1)**2 + -5 + sqrt(55)\/sqrt(5) + sqrt(11).\nAnswer: -5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4*-61340\nAnswer: 245360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = q - 6*j - 34, -5*j = 5*q - 195. Suppose 0 = -4*m - 4*o + 24, 0 = -3*m + 3*o + o + 46. Calculate the remainder when q is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*d - 1 + 31, -2*d + w + 20 = 0. Suppose -15*m = -d*m - 240. Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 2\/9, 0.3, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/17 and 31\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 4*p - 99. What is the remainder when 31 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 267737768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5811 + 12996 + 10561 - 924 - 1138)*(-2*q + q**2 - 2*q + 7*q).\nAnswer: 27306*q**2 + 81918*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 0 + 1)*2. Let w(d) = 7*d**3 + 2*d**2 + d - 2. Let j be w(1). What is the greatest common divisor of y and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-22 - 0)) + (-662 - -618)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 433054.\nAnswer: 2, 293, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.33 + 0.33. Let x = 8 + s. Sort 0.2, -3, x in ascending order.\nAnswer: x, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*w - 10. Let p(j) be the second derivative of 13*j**4\/6 - j**3\/2 - 6*j**2 - 3*j - 3. Is p(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v - 4*v + 75. Let x = v - -37. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -247 + 260. Solve -3*y = -5*n + 25, 3*y + n + r = -0*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -14*i. Let s(w) = -10*w - 9. Let q(d) = 10*d + 12. Let f be (-2)\/10 + -14*12\/(-40). Let j(m) = f*s(m) + 3*q(m). What is h(j(r))?\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n**4 - 4*n**3 - 4*n**2 + 2*n. Let c(w) = -w**3 - w**2 - w. Let p(m) = a(m) - 4*c(m). Find the second derivative of p(k) wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r + 1. Let j(o) = -o + 3. Let i(v) = -v + 4. Let n(k) = -3*i(k) + 4*j(k). Suppose -11*s = -8*s + 2*y - 7, 4*s - 6 = -y. Give s*c(g) - 6*n(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**3\/3 + 52*a**2 - 305*a\/3 - 154 = 0. What is a?\nAnswer: -1, 3, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, c: 2, g: 1, h: 1, v: 2}. What is prob of sequence gvh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 15*g - 3. Suppose -13*p + 78 = -0*p. Let b(r) = -r**3 + 6*r**2 + 2*r + 3. Calculate the remainder when w(2) is divided by b(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15461943 and 1668?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-6)*30*2. Let o(r) = 30*r**2 - 36*r + 36. Let s be o(1). Calculate the highest common factor of d and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjmssysmsjjsjhjhjjbh. What is prob of sequence hjm?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - 10\/6)\/(4\/18). Is 3*a\/27 - 2136\/(-9) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*z = -10. Suppose z*x = 5*b - 15, -3*x = -2*b + x + 4. What is the remainder when 10 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -19. What is the lowest common multiple of 13 and p?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -2.27, -15\/7, -3?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*n - 7*n. Calculate the remainder when 3 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkrrkk. What is prob of picking 2 r and 2 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-24) - (-90)\/1512)*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 4*a = 16, -4*o + 34*a = 35*a + 1. What are the prime factors of o\/(-4) - (11572\/(-16) - -4)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-5) - 399\/(-35). Suppose q - m - 9 = 0. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ix when two letters picked without replacement from xxxxxxixiixiix?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 6*z = 185. Suppose -x + z = 4*x - g, 5*g = -10. Calculate the highest common divisor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -6\/168961 and 64\/64985.\nAnswer: 844805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = -0*d. Suppose -d*c + 2*c = -2. Suppose 0 = -5*n - 2*b - 0*b + 58, 20 = c*n + 4*b. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 - 51. Suppose -4*i - 60 = 5*z, -4*z - j = -4. Let v be (12\/i)\/((-39)\/(-130)). Is v at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36126136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 (base 15) in base 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2 - 0, 0 = 5*v + 3*t - 9. Suppose -v = -2*j - j. Suppose -7*k = -6*k + 4. Put k, 0, j in decreasing order.\nAnswer: j, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 813*c + 1 - 560*c**3 + 5*c**4 - 1884*c**2 + 1884*c**2 - 813*c as o*c + z*c**3 + x + q*c**4 + u*c**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -637*f**3 - 4*f**2 + 38*f + 78. Is d(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -268237\/14 - -134122\/7. Factor -1\/2*t**5 + t**3 + 0*t + 0*t**2 + p*t**4 + 0.\nAnswer: -t**3*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/19779 and 15\/317852.\nAnswer: 18117564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 9:16 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 55*x - 1406 = 0, 2061*t - 2056*t - x - 84 = -3*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -1769*n. Let r(x) = 2731*x + 1. Determine r(c(g)).\nAnswer: -4831139*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*m, -2*n - 522 = m - 517. Let t(a) = a**3 + 6*a**2 + 11*a + 14. What is t(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 times -1590\nAnswer: -65190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 5725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q - 30. Suppose -8*u = -5*u + 9, 0 = -y + 3*u + 39. Let n = y - 11. Is x(n) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 9. Let c(r) = -4*r**2 + 4*r**v + 2*r**2. Let w(d) = 4*d**2. Determine w(c(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 177031 - 2301407\/13. Let s = -3 + 2. Is u > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10556)\/(-24) + 3\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5*n - 12 = 0, 3*n + 0 + 7 = t. Let h(l) = -2 + t + l - 36*l**2 + 37*l**2. Let o(z) = z**2 - 5*z + 5 - 2*z**2 + 0. Calculate 5*h(v) + o(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -252 or -251?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/13  (b) 2  (c) -7.9  (d) -4\/5  (e) 1\/2  (f) 536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/12 + 0)\/((-2)\/(-6)). Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 30*z**4 + 173858*z**3 - 181402468*z**2 - 48432712*z + 48386352 = 0.\nAnswer: -6698, -2\/3, 2\/5, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -1. Let k(p) = 5*p - 1. Let f be k(1). Suppose h = f*h. What is the nearest to h in t, 3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d + 4. Give m(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44 + -43. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46195 or 46197?\nAnswer: 46195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2))**(-31\/3)*(g\/((g\/(g*g**1*g))\/g))**(-7\/5))**(-3\/10) assuming g is positive.\nAnswer: g**(-113\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(9\/20)*(1349\/(-6745))\/((-3)\/(-135))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n + 1. Let c = 3729 - 3740. Let z(w) = -6*w - 5. Determine c*d(o) - 2*z(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 + 22. Let g(t) = 42*t + 12*t**2 - 11*t**2 - 30*t - 20*t. Calculate g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5502723 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, u: 7, d: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 7*k**2 + k + 10. Let l = -19 + 12. Let v be m(l). Let y = -3 + v. Solve 5*u - 7 - 13 = y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 465 = -4*g. Suppose -4*c + 82 = l, 2*l - 4*c - 248 = -2*l. Let z = g - l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5*a = -64, 6*h - 3*h - 13 = -5*a. Let l = h + -1. What is the least common multiple of l and 6*((140\/42)\/((-15)\/6) + 4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000155046 to 6 decimal places.\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 231 + -225. Let o(l) = 29*l + 22. Let p be o(0). What is the greatest common factor of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112940000 rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of x**4\/6 + x**3\/3 - 9*x**2\/2 - 12*x + 15. Let c(b) be the first derivative of y(b). Is c(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -242008 divided by 3\nAnswer: -242008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 8*p + 14. Let z be v(-10). Let n = z + -24. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*x**4 - 504986*x**3 + 10535207*x?\nAnswer: 24*x**2 - 3029916*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-25)\/(-4))\/((-1)\/(-4)). Let k = -15 + v. Let i(j) = 869*j + 5219. What is the least common multiple of i(-6) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 304 + -11316?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-108)\/(-63))\/(2\/14). Suppose a - t = 5*a + 3, -4*t = -3*a + u. Solve a = 2*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3769 and 5.58.\nAnswer: 3774.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 269949287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2*t - 64 = 0, -10*t - 38 = -2*g - 14*t. Solve 2*h = -s - 1, 0*s + g = -5*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 237437 divided by -1.\nAnswer: -237437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13367a + -a?\nAnswer: 133670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 9:41 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*sqrt(22))\/(-3*(sqrt(11)*-5 + sqrt(11) - sqrt(11))) + 0.\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36507 and 7092807.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4637088 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119 + 60 + 58 - 281*m.\nAnswer: -281*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {f: 2, b: 1, u: 1, y: 2, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*a + 891 = 7*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -22*y + 4. Let o(g) = -22*g + 3. Let z(u) = 3*n(u) - 4*o(u). Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3845401.99981 - 3845383. Let s = -19 + j. Round s to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*2\/(-4)*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 1. Let j be r(-1). Let t = 1 - 0. Suppose g = -t, -j*b - 2*b + 11 = -3*g. Solve -3*d - 2*h = -0*h + 4, -b*d = -5*h + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 957911694.\nAnswer: 2, 3, 71, 73, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(468) + -2.\nAnswer: 3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i**2 - 187*i + 153. Determine w(46).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 21\/8 in increasing order.\nAnswer: 1, 21\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -1580330\nAnswer: -1580330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3944687750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8402\/31287 or 1?\nAnswer: 8402\/31287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -630.6 + 631. Which is the nearest to -2\/7?  (a) -3  (b) i  (c) -5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -106 - -108. Suppose m*t = -0*t + 4*r + 40, 3*t - 40 = r. Let j = 285 - t. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u - 3*c + 11, 5*u + 5*c - 1214 + 1209 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1326 + 5220 + 4906)*((-2*n + 2 - 2)*(-2*n**3 + 2*n - 2*n) + 2*n**4 - n**4 + 0*n**4) to k*n**4 + x*n**2 + s*n + m*n**3 + a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/10627 or 1?\nAnswer: 2\/10627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 42442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 11:35 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 601109.\nAnswer: 97, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**4\/5 - 12789*w**3\/5 - 5428884*w**2\/5.\nAnswer: 3*w**2*(w - 4652)*(w + 389)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 + -40. Sort q, -1, 5 in ascending order.\nAnswer: q, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3726 > -3679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12616 - 6147. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*h + 44*h - 120 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 113774797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p - 75. Let k(s) = -77*s - 33. Let f(a) = -2*a - 1. Let h(l) = 33*f(l) - k(l). What is h(q(c))?\nAnswer: 22*c - 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 15*b**2 + 2*b + 26. Let o be r(-15). Let j be ((-602)\/(-28))\/((-15)\/(-6) - 2). Let k = -42 + j. Put o, 0, 3, k in ascending order.\nAnswer: o, 0, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0554 + 0.0165. Round p to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/6 - 4753*o**2\/6 + 110047*o\/3 + 2560064\/3.\nAnswer: (o - 4706)*(o - 64)*(o + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 58823*a**2*p**3 - 2*p**3 - 1035*p**2 - 30*p wrt a?\nAnswer: 117646*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9078 >= 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7843485 a multiple of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 2, 0.3, -1\/10, -5.\nAnswer: -5, -0.4, -1\/10, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*u = 22*u + 1509 + 75 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 7. Let u(v) be the third derivative of v**4\/24 - 4*v**3\/3 + 13*v**2. Let p(f) = 4*s(f) + 3*u(f). Let o = 46 - 38. Determine p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -187, -1.679, 0.4, -2\/9?\nAnswer: -1.679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/5)\/((-2)\/5)*-2. Suppose 0*v + 2*t + 1595 = 5*v, -w*t = 5*v - 1565. What is the remainder when v is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15403?\nAnswer: 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**2 - 4. Let n be a(2). Let d = 32 + n. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 30*s**2 + 2*s + 5 - 4 + 0 as x*s**2 + y + n*s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 2 + 29 + 1. Calculate the highest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -2*u**6\/15 + 21*u**5\/20 - 56*u**3 - u**2\/2 - 9*u - 28. Find the second derivative of b(m) wrt m.\nAnswer: -48*m**2 + 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 153 - 152 - (-76 + (2 - 2) + (4 - 1))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**2\/21 - 60880*y\/21 - 463296800\/21 = 0.\nAnswer: -15220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(3\/8))\/f)\/(f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20517263\/172 + 119286. Calculate the common denominator of c and -51\/40.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -307084*j**2 - 585089 wrt j.\nAnswer: -614168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221273435.\nAnswer: 5, 83, 533189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 68\/(-32)*-4*18\/(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228*h + 774 = 229*h. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 + (15 - (6 - (5 - 41)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 28*v**2 - 3*v - 2. Calculate j(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7974.386 days in minutes?\nAnswer: 11483115.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -13*g**3 + 74*g**2 + 111*g + 74. What is s(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + 3 - 3)*(210 - 31 + 41)*(2 - 4 + 3) to h*c + k and give h.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*x + 8336, -3*p + 231*x + 6253 = 233*x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 75 = -2*h + 3*c, -10*h - 134 = 5*c - 229 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.718?  (a) 0.5  (b) -10  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 + 11*x + 10. Suppose -227 + 51 = 22*t. Give j(t).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37700291*p**2*q**2 + 3*p**2*q - 192281096*p*q**2 wrt p?\nAnswer: -75400582*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3\/4, -3, 2\/17, -0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - 1.1. Let t = -0.41 - -0.51. Which is the second smallest value?  (a) 0.4  (b) t  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8305.\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**3 + 5*j**2 - 37. Let l(d) = -d**3 + 2*d**2 - 18. Let c(s) = 1232*s + 2. Let b be c(0). Determine b*x(p) - 5*l(p).\nAnswer: p**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x**2 + 13*x + 20. Let n be j(12). Let z = -2036\/5 - n. What is the common denominator of z and 31\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*r + 22*r - r)*(-729 + 733 - 5*r + 4*r) in the form m*r + f*r**2 + l and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**4 + 150*t**3 + 1323*t**2 - 15288*t - 16464 = 0 for t.\nAnswer: -28, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -1\/2  (c) -46  (d) 4  (e) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 33, -1, 10729, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m - 440. Determine a(11).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and -1179.7208.\nAnswer: -1179.8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - -14.6. Let m = 2 - u. Let s = -1.1 + 1. What is the closest to 0 in m, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c + 1. Let i = 8 + -9. Let g(w) = 125*w**3 - 37*w**3 - 30*w**3 - 63*w**3 - 3*w + 3 + 4*w**2 - 3*w**2. What is i*g(h) + 3*k(h)?\nAnswer: 5*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1438204, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (7 + 4) - -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 144\/13225 or -1?\nAnswer: 144\/13225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -65*m - 1861. Calculate a(-23).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.99 - 2.01. What is the nearest to -2\/3 in 3\/2, 0, i, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 18 + -7 + 1 - (23 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-72)\/(-30) - 9\/(-15). Suppose 4*f - h*f = 3. What is the closest to 1 in 2, -0.4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11825 divide 5282607721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(4 + 18\/(-4)). Let j = -0.2 - -0.3. Which is the nearest to 0?  (a) 1  (b) w  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**2 + 2*u - 451. Let h(y) = 7*y. Give k(h(r)).\nAnswer: -98*r**2 + 14*r - 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 24\/5*w + 4\/5*w**2.\nAnswer: 4*w*(w - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 148*d**3 - 5 + 2 - 147*d**3 - d + 4*d**2 - 2. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*t = 90 + 206 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 69*f + 4. Calculate the remainder when 3254 is divided by h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 2*x. Let d(u) = -4*u**2 + 9*u. Let n(t) = 2*d(t) + 9*o(t). Let y(j) be the second derivative of -5*j**4\/12 - j. Calculate y(n(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28 + 6. Let h(g) = -6*g**3 - 782*g**2 + 524*g - 10. Let y be h(-131). What is the nearest to 0.1 in y, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1026, -8, 113, -1 in ascending order.\nAnswer: -1026, -8, -1, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2\/9  (b) 6\/29  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -825 + 1c42c?\nAnswer: 1ba07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1757717621 to the power of 1\/2, to the nearest integer?\nAnswer: 41925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 49*x**2 - x + 50. Let y be z(49). Which is bigger: -1\/57 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 + 41.916. Let o = -0.131 + q. Let i = o - 0.085. What is the closest to -6 in i, 3\/2, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/18*117\/6. Let s be 4\/j + 8\/(-286). Let n = -0.2 + 0.1. What is the nearest to n in s, -0.2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20.8 + -13.75. Let m = d + -0.05. Let s = -7.2 + m. Does s = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 34*w - 57. Calculate the least common multiple of t(3) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 19*i**2 + 22*i + 45. Suppose 5*q - 4*q + 20 = 0. Let j be v(q). Suppose j = 4*b - 7. Solve -1 + 7 = -b*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 55*g**2 + 241*g + 475. What is x(-2)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*o = -61*o + 1160. What is the highest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-2)*40\/12. Suppose y*l - 97 = 33. Let d(h) = 10*h - 1. Let q be d(1). Solve -3*f - q = 2*j, 4*f = j + j - l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 151 - 86 + 2481*g - 65 to j*g + m and give j.\nAnswer: 2481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -733362*m**3 + 369964*m**3 + 363399*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -75.9 - -72. Let t = z - 0.1. Sort t, 0.3, -5 in increasing order.\nAnswer: -5, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 39*v**2. Let t(z) = 512 - 248 - 264 + 15*z. Give t(y(c)).\nAnswer: 585*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 657 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 3)*(-20*b**3 - 9*b**3 + b**3) as v*b + f*b**3 + n + o*b**2 and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -4041*d + 161. Let z(r) = 4041*r - 138. Let m(k) = 6*v(k) + 7*z(k). Let w(j) = -2*j. Determine m(w(a)).\nAnswer: -8082*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3697.380072 minus 5?\nAnswer: -3702.380072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79036 is divided by 190?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1309 is divided by 78.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j + 1. Let k be p(2). Sort 5, 2, k in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17322 + -18094.3. What is p rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.511 - -0.411. What is the closest to -12 in 3, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51 + -5. Let i = 43.9 - f. Let g = i + 2.097. Round g to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35741411068 - 9.5.\nAnswer: 35741411058.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/13)*v*v**(-1\/4))\/(v**8\/((v\/(v*v**(-1)*v*v))\/v)) assuming v is positive.\nAnswer: v**(-489\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 119*b**4\/12 - 22*b**3\/3 + 30*b**2. What is the first derivative of o(k) wrt k?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36499023 - 78619023. What is k rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i**0*i*i)\/i)**(2\/113))**(-1\/14))**(-10) assuming i is positive.\nAnswer: i**(20\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -4*v**2 + 3*v - 1. Let x(h) = -3*h**2 + 2*h - 1. Suppose 4 - 2 = l, 5*l - 28 = -6*n. Give n*x(c) - 2*p(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 2, a: 4, c: 2, e: 1, u: 3, t: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3165 is divided by (-540)\/30*(4\/6)\/(-3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 3. Let f = -0.047 + -7.953. Which is the nearest to m?  (a) -0.2  (b) -5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18436524 is divided by 484.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 1:04 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**3\/3 - 446*t**2\/3 + 8362*t - 8214 = 0.\nAnswer: 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 69 + 47 - 113 - 3.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*r + 24 = -4*p - 27*r, 0 = -4*p + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 56.00588 centuries?\nAnswer: 5600.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33569642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366057491.\nAnswer: 827, 442633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 10*j + 23 = l, -4*l + 32 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 2:28 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9935493 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: b\"What is the xth term of -9, -38, -67, -96?\n\"Answer: -29*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -2  (c) 0.29  (d) 0.1  (e) 10.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96 + 188 - 132*r - 83.\nAnswer: -132*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 6 - (-2 + (18 + -5 - 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36 + -21. Let c = -12 + f. What is the second derivative of 4*i**c + i**3 - 3*i + 0*i**3 wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1407 + -4176. Let t = -1972 - a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2715 + 5413 = -17*w + 2732. Factor -2\/5*i**3 + 0 + 0*i**w + 8\/15*i + 2\/15*i**4.\nAnswer: 2*i*(i - 2)**2*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 3*s + 8 - 35, -r - 6 = 4*s. Let w(d) = 2*d - 9. Let k be w(r). Is (-1)\/((k\/(-51))\/1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 8*w**2 + 20*w + 8. Calculate the smallest common multiple of k(-10) and 19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (30\/8)\/(225\/2100) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2592 and 50400.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 56*t - 26. Let z be m(55). Which is greater: 175\/6 or z?\nAnswer: 175\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 0, -723, 5 in decreasing order.\nAnswer: 7, 5, 0, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-29)\/(-8) - (-3)\/8) + -9060004. What is s rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -4*w**2 - w + 4. Let c be -6*(-8)\/(-4)*((-11)\/(-3))\/11. Let d(x) = -x**3 - 7*x**2 - x + 7. What is c*d(f) + 7*b(f)?\nAnswer: 4*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**8*y*y)**(-8\/9)\/(y**(3\/8)*y\/((y*y**(1\/13)\/y*y)\/y*y)) assuming y is positive.\nAnswer: y**(-8599\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17012\/35 + -486. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**2 + 77*q - 752. Determine w(10).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/40 and 111\/35960?\nAnswer: 35960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -453 (base 9) to base 7.\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, 2\/3, 2.\nAnswer: 2\/3, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007206111 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 1 - (4 + -1)) + 23. Suppose -4*u + s = 2. What is the lowest common multiple of 12 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 515*h**3 + 5*h**2 + 15*h. Let r(b) = 1544*b**3 + 14*b**2 + 42*b. Determine 14*c(y) - 5*r(y).\nAnswer: -510*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311274.8kg to tonnes.\nAnswer: 311.2748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1356323 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4422630123?\nAnswer: 3, 29, 16944943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3922460 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s - s + 2 - 10*s - s - 9*s.\nAnswer: -24*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.3, -0.06, -13, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 122*o**2 + 91*o - 484. Does 38 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 3\/20 + -23\/4. Calculate the common denominator of 17\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 - 3 + 3)*(-197*f**3 + 87*f**3 + 94*f**3 + 7*f).\nAnswer: 32*f**5 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-9))**(-34) assuming m is positive.\nAnswer: m**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5728 = 23*j - 17502. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132 + -124 - (29 + -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -4*a**4\/3 + 3*a**3\/2 + 9*a**2\/2 - 3*a. Let i(x) = 4*x**2 - 2*x - 2. What is 9*i(d) + 2*p(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1650*p**2 + 5 - p**3 + 1650*p**2 + p to the form h*p + o*p**2 + g + w*p**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2922, -22911, -77180, -182871, -357126?\nAnswer: -617087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c - 10 = -a - 28*c, -a - c = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((18\/(-5))\/3)\/((-294)\/140)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0840738 years to millennia.\nAnswer: 0.0000840738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 772 and 9.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -1\/3  (c) 0.4  (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 3*y**2 + 2*y + 2. Let x(p) = 12*p - 2. What is the remainder when x(2) is divided by u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s - s + 2*s + (3*s + 4*s - 5*s)*(4 + 0 - 2) - 2*s + 0 + 0 + (2*s + 2*s - 5*s)*(1 - 2 - 6).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -158 + 61. Let d = -96.999879 - r. Round d to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 + 5*l - 13)*((-1 + 1 - l)*(-l**2 + 0*l**2 + 3*l**2) - 13*l + 13*l - 6*l**3) to y*l**2 + s + k*l + x*l**4 + g*l**3 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/15 and 24\/(-198)*23\/2.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/60984 and 41\/3906?\nAnswer: 1890504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2160.004804 + 2160. Round j to 4 dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/9 - 10052\/3*f + 6315169*f**2.\nAnswer: (7539*f - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1558569055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -z**6\/360 + z**5\/60 - z**4\/24 - 5*z**3\/3 + 11*z. Let i(a) be the second derivative of v(a). Factor i(h).\nAnswer: -(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3260 = 14*a - 24*a. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3478 and 1.\nAnswer: 3478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/6*(-6)\/(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000231941 to seven decimal places.\nAnswer: 0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 15 - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 117*d**2 + 1055*d + 9. Calculate m(-9).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8655273 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 565\/(-36) + 15 + -1 - (-14)\/8.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -14*o**3 - 8*o + 2. Let f(c) = 32*c**2 - 32*c**2 - 2*c + 1 + c**3 + c. Let v(u) = 2*f(u) - p(u). What is the second derivative of v(w) wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150579 is divided by 608.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 505 + 5?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16114826.\nAnswer: 2, 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*u = -6, 3*u - 13 + 4 = 5*p. Suppose p = -5*n + k + 46, 7*k - 2*k - 40 = -5*n. Calculate the smallest common multiple of n and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -268270, -536537, -804804, -1073071, -1341338?\n\"Answer: -268267*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**5 - 34932*h**4 - 104772*h**3 - 104764*h**2 - 34920*h.\nAnswer: -4*h*(h + 1)**3*(h + 8730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**7\/70 - y**3\/6 - 7*y**2. Find the first derivative of p(r) wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16809 and 1986.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 8*p + 2*x - 8510, -p - 5*x = -2141. Let q(d) = -d - 1143. Let g be q(0). Let w = g + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64 * -6.1\nAnswer: -390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.8 + -9. Let s = 0.1991 + l. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121210120010222 - -101?\nAnswer: -121210120010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*s = -5*s + 636, -4*s - 3225 = 5*q. Let p = -198 - q. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2912*l + 7800*l = 332072 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*o + 2. Suppose -d - o = -0. What is the units digit of (-2)\/3*(d - 67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.050923 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00467123 rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**5\/2 - 397*m**4\/2 + 3443*m**3\/2 + 18973*m**2\/2 + 7566*m = 0.\nAnswer: -3, -1, 0, 13, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 37*n = -79*n + 1147 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/72 and 2*(-1)\/54*(-654)\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2723 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 36 + 13*a - 26.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7922193?\nAnswer: 3, 1129, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -29 + 29 - (2 - -3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 0, -0.2, -7\/9 in decreasing order.\nAnswer: 0, -0.2, -2\/3, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 0.355  (b) 478  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 6*r - 21. Let f be p(8). Let m(g) = -g**2 - 8*g - 12. Let b be m(f). Solve 2*x - 3*u = 2*u + b, 0 = -4*x + 5*u + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32229 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**3\/5 + 56487*d**2 - 14960466*d\/5 - 15242904\/5 = 0. Calculate d.\nAnswer: -1, 54, 94092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k. Let x(f) = -f**3 + 15*f**2 - 16*f + 33. Let g be x(14). Let b(u) = -g - 1 + 5 - 1388*u + 1391*u. Give 4*b(c) - 11*n(c).\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 66, -1\/7, -206?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 6*h + 5. Let r(l) = -4*l + 1. Let q be r(-1). Suppose -9*f + q*f = -24. List the prime factors of w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 3:17 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/(-44))\/((-1)\/(-18)*-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2676*i**4*s + 3*i**3*s - 7*i**2*s + 3575*i**2 wrt i?\nAnswer: -64224*i*s + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 73767156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -47*r**2 - 780*r - 2980. Calculate u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 12*v**2 - 3*v + 9. List the prime factors of i(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -35*z**3 - 6340*z**2 + 35*z + 6300. Let r(q) = -5*q**3 - 906*q**2 + 5*q + 900. Let b(t) = 3*n(t) - 20*r(t). Factor b(h).\nAnswer: -5*(h - 1)*(h + 1)*(h + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1040 divided by -260.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + -4 + 1 + 0. Suppose s = 7*h - 3*h. Solve -2*y + 3 + 5 = h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8443 - 2974. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.043 - -0.143. What is the nearest to w in 1, -2\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -103, -129, -151?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 + 3 - 22*n**2 + 22*n**2 - 2 + n**3 + 2 + (n**2 + 2*n - 2*n)*(-4*n - 3*n + 5*n) + 0*n + 0*n - n**3.\nAnswer: -5*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 3 + 20 + -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-106)\/(-143) - 1 - (-242)\/3146.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162213075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -8*s**2 - 11*s + 151. Let b(p) = -3*p**2 - 4*p + 50. What is -11*b(m) + 4*q(m)?\nAnswer: m**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4 - 19*i**3 - 112*i**2 - 156*i + 288.\nAnswer: -(i - 1)*(i + 6)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263620 is divided by 52256.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {s: 1, q: 1, p: 1, t: 2, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -283.7422389898.\nAnswer: -284.2422389898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*m - 870 = 1729, -4*u + 3*m = -10396. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/15)\/(1 - 7\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 8\/7, -2 in decreasing order.\nAnswer: 8\/7, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 + 3*p**3 - p**3 - p**3 - 2*p**3 + 2*p**3 + (2*p**2 + 2*p**2 - 5*p**2)*(7*p - 3*p - 3*p) + 3*p**3 + 7*p**3 - 2*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from ifificciicicfffi.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -100 + -10?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 11:27 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z**3 - 3*z**2 - 4*z - 2. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1478921 - 466086. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -970 and -22.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2 - 4*k - 3. Let s be d(-1). Suppose 14*y - 4 = 12*y. Let w be 7\/21 + y\/(-6). Solve -s*z + w*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 839, 5130, 15535, 34712, 65319, 110014, 171455?\nAnswer: 252300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -301 - -297. Let z = 31 + -17. Let f = -19 + z. What is the closest to 0.2 in y, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 19 = -3*l - 4, 0 = -6*l - 2*r - 86 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 + -59 + -4 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*i**3*r**2 + 7*i**3*r + 1900*i**3 - i*r - 4034*r**2 + 2*r wrt r.\nAnswer: -14*i**3 - 8068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 141?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*b - 35 - 15. Solve 4 = -p + 1, 4*p - 13 = -b*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 239399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 270 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r + 4*s = 24*r + 15664012, -3*r = -5*s + 11748015. Round r to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -176690 by -35338.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26512 is divided by 3310?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -1279*j + 1282*j - 191, 4*i - 640 = -246*j for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/(-325)*-10)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2 = -a - 12, 3*z - 26 = 5*a. Suppose -3*t = z*t. Solve t = -0*w - 3*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**7\/1890 - d**6\/90 + d**5\/10 - 5*d**4\/6 - d. Let a(x) be the third derivative of y(x). Factor a(u).\nAnswer: 4*(u - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**2. Let q(m) = 3 - 6 + 3 + 13*m. What is q(t(a))?\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 194.3*0.7.\nAnswer: 136.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/(-9))\/(-5) + (-42)\/(-9). Let i be (-5 - (-68)\/(-20)) + 4\/r. Suppose -13 = 5*j + 22. Is i != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o - 8. Let l be w(4). Let x be ((-48)\/(-4))\/(0 + l\/20). Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -3547*j**3\/3 + 5777*j**2\/2 + 13469. What is the second derivative of r(x) wrt x?\nAnswer: -7094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26072 or -25982?\nAnswer: -25982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 - 1)*((0 + 0 + 1)*(-c**4 - 2 + 2) + 5*c**4 - 11*c**4 - 2*c**4) in the form v*c**3 + a*c**2 + t*c + g + w*c**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, o: 1, t: 1, l: 1}. What is prob of sequence ot?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 6*t**2 + 4*t - 3. Let n be c(-5). What is the greatest common divisor of 6 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1782 - 1785. Sort 563, 1\/4, a, 2\/7 in increasing order.\nAnswer: a, 1\/4, 2\/7, 563","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55904.93 meters to micrometers.\nAnswer: 55904930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(405) + -2)**2 - (sqrt(125) + sqrt(125)*1 + 5 - sqrt(125) - (1*sqrt(125)*1)**2).\nAnswer: 13*sqrt(5) + 526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 2*d**2 - 5. Let b be n(-3). Solve -2*y = 3*z - 3*y - 2, 7 = b*z + 3*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54802848 divided by -1034016?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -7*a**3 + 3*a - 6*a**3 + 8*a**3. Let o(p) = 6*p**3 - 4*p. What is 4*n(s) + 3*o(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 121*r**3 + 2*r**2 + r - 1. Suppose 2 = 4*h - l, 5*h - l = 3*h. What are the prime factors of m(h)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 10:08 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 915648.84 nanoseconds?\nAnswer: 0.0000000105977875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 20*b + 55. Let h be u(-13). Let i = -78 - h. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - a. Let k(h) = 33*h**3 + 3*h**2 - 3*h + 16. Let g(w) = 22*w**3 + 2*w**2 - 2*w + 10. Let u(v) = -8*g(v) + 5*k(v). Determine l(d) + u(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8353, 8334, 8313, 8290, 8265?\n\"Answer: -j**2 - 16*j + 8370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2078*r**3 - 11*r**2 - 15*r - 340. Let q(c) = 1039*c**3 + 5*c**2 + 6*c + 170. Let l(w) = -2*f(w) - 5*q(w). Find the third derivative of l(x) wrt x.\nAnswer: -6234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*o - 83*o + 150*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3 - 53721*c**2 - 240576048*c - 721244736.\nAnswer: -3*(c + 3)*(c + 8952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 o when three letters picked without replacement from hqzuhqqhihhoi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, x: 1, h: 2, r: 6}. What is prob of sequence xhrn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*o + 70 + 47. Solve -o = 4*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -29*k**3 - 9*k**2 + 17*k - 3. Let a(d) = -25*d**3 - 9*d**2 + 16*d - 3. Let p(t) = 7*a(t) - 6*o(t). Give p(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1112829 is divided by 1112827.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dnnndddddndnndddrn.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((1 + 5)\/(-1))\/(-1). Let l = 6 - 4. Solve -5*o + m = -l*o + 3*y, 0 = 3*y - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25958429389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 73116, 73115, 73114, 73113?\n\"Answer: -j + 73117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13026, 26020, 39014, 52008?\n\"Answer: 12994*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101258309 divided by 3?\nAnswer: -367086103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5862 - 163*p + 5862)*(-p**3 + p**3 + 3*p**3) + (-p**2 - 3*p**2 - p**2)*(0*p**2 + 4*p**2 - 2*p**2) as t*p**2 + d*p**3 + k*p + f*p**4 + a and give f.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9267.002 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/2 and -9\/36257.\nAnswer: 72514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 704599077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 4  (c) -2466  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 301399604 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 (base 6) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(5*sqrt(48)))**2 - (0 + 0 + sqrt(5) + sqrt(5))**2*-2.\nAnswer: 801\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -8*k - 1. Let s(h) be the second derivative of h**3\/6 + 169*h + 1. Calculate -5*s(j) - v(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -11*x**2 - 2*x. Let j(h) = h. Give f(l) + j(l).\nAnswer: -11*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*k - 54 = 11*u - 19*k, 2*u + k = -10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 2*k + 24 - 10, 17 = -k + 5*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from pcppwswspnsgwpp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/3829542 and 69\/10212112.\nAnswer: 30636336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 16.1. Let w = -1.4 + 1. Which is the second biggest value?  (a) 0  (b) w  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/6)\/(7\/6). Let a = -0.207 - 86.793. Let t = a - -86.7. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -187, 390, 967, 1544, 2121?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of 2*q**3\/33 + 380*q**2\/11 + 72200*q\/11 - 686. Find l, given that o(l) = 0.\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 716?\nAnswer: -71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -257 - 20*u + 16*u - 245 + u**3 + 484 to the form x*u**2 + s*u + f + l*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -9811228\/47 at most as big as -208751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -4. Differentiate -n - 4*n**2 - d + n wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-3))**(-33))**(2\/33) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5277888 by 310464.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1315096709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10*((-4)\/(-18) - (-130)\/468). Suppose f*d = 2*b + 2403, 0 = d + 3*d - 2*b - 1922. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 + 47. Solve 5*i - 5 = -3*n, -5*i = -0*i - f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48760 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: Express 79*a**2 + a - 7*a**2 + 14*a**2 - 4 + 6 as u*a**2 + o + z*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1673 + -1645. Suppose 172 = -0*w - 4*w. Let z = -29 - w. What is the greatest common factor of q and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2e3f5 (base 16) to base 10\nAnswer: 189429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 4:48 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -14*(8 + 0 - (-406)\/(-49)). Let t(n) be the first derivative of -2\/3*n**3 - 20*n + 19\/4*n**m - 33 + 0*n**2. Find the first derivative of t(v) wrt v.\nAnswer: 57*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of 31*l**5\/30 + 11*l**4\/24 + 5*l**3\/6 - 3*l**2. Suppose 0 = -5*f - 15 + 40. Let g be r(f). Round g to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - z**2 - z + 2. Let y be w(2). Let g = -0.32 - -0.02. Sort -3\/4, y, g in decreasing order.\nAnswer: y, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54096 and 4140.\nAnswer: 811440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-405)\/(-540))\/((-177)\/(-4))\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4\/7 + 17*n**3\/7 + 103*n**2\/7 + 151*n\/7 + 66\/7.\nAnswer: -(n - 22)*(n + 1)**2*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d**3 + 2*d**2 - 5. Give j(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 7:12 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 255949041.3 to the nearest one hundred thousand.\nAnswer: 255900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23130497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -8*y**2 - 217*y + 116. Determine l(-26).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -4. Suppose -p - z*p = -165. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 18*j**4 + 8*j**2 + 11. Let x(w) = 6*w**4 + 3*w**2 + 4. Let c(n) = 4*v(n) - 11*x(n). Find the third derivative of c(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 4624844465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -480.56 + 530.702. Let g = -50 + w. Let t = g + 0.528. Round t to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**4\/4 - 2*w**3\/3 - w**2\/2 + 4*w + 15. Let o be l(0). Suppose -6*f + 50 = -o*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 + 375*z\/7 - 306\/7.\nAnswer: -3*(z - 17)*(7*z - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 111219027?\nAnswer: 111219032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 11:53 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 7:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 914274501 to the nearest integer?\nAnswer: 30237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*sqrt(105)\/sqrt(3))\/(5*sqrt(80)) + (sqrt(210)\/sqrt(6)*-3)\/(-1*sqrt(720)).\nAnswer: 7*sqrt(7)\/20 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -7, 16, 527, -3 in increasing order.\nAnswer: -7, -3, 3\/5, 16, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*h + 2 = 0, -3 = -4*i + 3*h - 5. Let a be (1\/i)\/((-6)\/72). List the prime factors of 6\/4*52\/a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 24 = -46. Let h(m) = -m**2 - 26*m - 15. Let i be h(j). Let o = i + -103. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 10722652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 1470c?\nAnswer: -14711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -23670 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2 = f + 7*i, 0 = 4*f + 3*i - 28. Let q(v) = 0*v - 10*v + 1 - 3 - 9*v**2 + 0*v**3 + v**3. What is q(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 11*j - 10*j - 621 = 0, 5*f = -2*j + 780. Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -3 + 0*t**2 + 0*t - 1\/3*t**3. Let q(p) = -3*p. What is q(f(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10\/13?  (a) 0.5  (b) 0  (c) 0.095  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.58, 2\/17, -173?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2527 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**3 - y**2 - y - 2. Suppose -2 = m - 2*m. Does 7 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 5:49 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 10:12 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*m**2 + 37*m**2 + 119*m**2.\nAnswer: 136*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 4*o**2 - o - 21. Let t be v(6). Let u(k) = 25*k + 19*k - 27 - t*k. Let i(a) = -a**2. Calculate u(i(x)).\nAnswer: x**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -608374, -1216749, -1825126, -2433505, -3041886, -3650269?\nAnswer: -4258654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 233 - 502?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 16. Suppose 5*f + p*q = -6 + 17, -2*f = 5*q - 17. Solve 0 = -4*v + f + 3, 2*s = 5*v + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -9222200\nAnswer: -9222200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38761 or 38787?\nAnswer: 38761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -301 + 350. Suppose -5*p + f = 39. Solve -p*b = 4*l - b - 13, 5*b + 27 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23965, 23682, 23397, 23110, 22821?\n\"Answer: -q**2 - 280*q + 24246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -a + 5*p, 125*a - 3*p = 120*a + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -192*y + 4654 + 338 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2008119852 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -35634325 and -35634326 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = -5*x + 55, 10*d + 10*d + 4*x + 77 = 11*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65328919 is divided by 1037?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a = -535 + 93408. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 6*b**2 + 7*b + 4. Let z be l(-7). Suppose q + 15 = -0*q + 5*m, 0 = 4*q + z*m - 60. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22890.\nAnswer: 2, 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 2:04 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a**6*a))\/a)\/a)**(1\/6) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i + 3. Let d(p) = -2*p + 1. Let z(o) = 5*d(o) - 3*m(o). What is z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 321.32749 - 235.3271. Let x = -272 - -186. Let g = q + x. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332850249 is divided by 2705.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f + 23. What is the remainder when 89 is divided by w(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1018\/4)\/(506\/84 + -6) + 6. Calculate the highest common factor of 186 and u.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**0)**(-14)\/(a**(-2\/9)\/a*a)**(-18))**(3\/5) assuming a is positive.\nAnswer: a**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3301, 2\/7, 0.33, 0.2, -0.4, -2 in descending order.\nAnswer: 3301, 0.33, 2\/7, 0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3134, 7561, 14936, 25259?\n\"Answer: 1474*s**2 + 5*s + 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-3 - (-8 - -7) - -41) + -4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 869.6 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 4236*d**3 - 4249*d**3 + 3*d - 2*d**2 - 4*d + 3*d**3 + 2 - 2 + (2*d + 0*d - d)*(d**2 + 0 + 0) as l*d + j*d**3 + r*d**2 + q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 0 - (1 - (-4 - 3 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -245, -481, -703, -905, -1081, -1225?\n\"Answer: f**3 + f**2 - 246*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nwn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 251 (base 9) to base 3.\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 9*h - 20. Let t be d(-9). Let q(n) = -2*n**2 - 26*n - 10. Let m be q(t). Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of i**5\/60 + i**4\/8 + 2*i**3\/3 + 7*i**2. Let t be j(-3). Let w be 1 + 4*t\/8. Solve -6*h = -w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 13)*(-1 + 1 + 2*o) + (0 + 0 + 2)*(-3 + 3 + 2)*(-2*o + 6*o - 3*o).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 18. Suppose -1 = -s - 5. What is the closest to y in 4, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 561*p**2 + 16*p - 20. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 9:48 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6651978 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2346 - -2348. Sort z, -4, 3\/16, -0.5 in ascending order.\nAnswer: -4, -0.5, 3\/16, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j**2 + j. Suppose -w + 0*y = 5*y - 13, 23 = 5*w + 4*y. Let c be g(w). What is the greatest common factor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 112\/81 - -37\/162. Calculate the common denominator of 58\/45 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {r: 2, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 - 26. Let a(l) = 20*l**2 - 2*l**3 - 6 - v - 14*l + l**3 + 9. Is a(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7516 = -3*v - 5*p, -2*v - p + 6*p + 4994 = 0. Is 21 a factor of (-2)\/5 - v\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of 43*u**4\/12 - 37*u**3\/3 - 154*u**2. List the prime factors of p(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-2*3\/78). Let x = -56 - -95. Let s = x + q. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1472, -3108, -4938, -6974, -9228?\nAnswer: -11712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*l + 2*x - 6 = -61*l, 2*l = -3*x + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -184369*j + 40962*j - 57730*j - 188866*j - 9. Let t = -31 - -28. Let d be h(t). What is d rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1092 - -32?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68919.49 days to milliseconds.\nAnswer: 5954643936000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + (-2 + sqrt(208) + -1 - sqrt(208) - sqrt(208))).\nAnswer: 20 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 12*q - 3. Let j(m) be the third derivative of -m**4\/4 + m**3\/6 + 6*m**2. Let b(n) = -2*d(n) - 5*j(n). Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 287\/(-17) + (324\/(-153) - -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 0*g + 246 = 0. Let i = -36 + g. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**2 + h + 4. Let w = 0 - 5. Let d = w + 14. What is the remainder when k(3) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z - 63. Let l(y) = -11*y + 95. Let m(s) = -7*f(s) - 5*l(s). Let j be m(8). Let n be (-6)\/j - (-3275)\/(-35). Is n < -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*f**3 - 14215*f**2 + 8510*f + 5680.\nAnswer: 5*(f - 568)*(f - 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 16 - 17 = 5*b - 3, 0 = -4*x - 5*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 7*h. Let o(m) = -449*m. Calculate j(o(r)).\nAnswer: -3143*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14593, 58376, 131373, 233590, 365033?\nAnswer: 525708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-5) + 1 + 1. Let u = 0.0778 - 11.0778. Which is the closest to 1\/2?  (a) -4  (b) g  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.290852 * -31\nAnswer: 9.016412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13391, -12813, -12235, -11657, -11079, -10501?\nAnswer: -9923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from rqxqyqqqexqqqeqqqqeq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(5*((sqrt(228) - 2*sqrt(228))*-5 + sqrt(228) - sqrt(228) - sqrt(228)))\/(-3*sqrt(108)*6))**2.\nAnswer: -40*sqrt(19)\/27 + 8329\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 1 + (15 - (-17 + 21)) + -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-200)\/(-80))\/(30\/(-72))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -541*m + 283*m**2 + 295*m**2 - 575*m**2 + 795 - 257*m.\nAnswer: 3*(m - 265)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dwe when three letters picked without replacement from {d: 1, w: 1, v: 1, g: 1, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -102016 or -714107\/7?\nAnswer: -102016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -5*l**2 + 447*l - 6202. Give q(17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 7:53 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(6)*1 - sqrt(100)\/(3*sqrt(10)))\/(sqrt(288)*-3 + sqrt(2) - (sqrt(2) - (sqrt(12)\/sqrt(6) - sqrt(2))*3)).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 2:07 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b - 1. Let q(c) = 43*c + 20. Let h(m) = 4*l(m) - q(m). Suppose 0 = -5*o - 10, k = -5*o - 13 - 2. Let g(j) = 8*j + 5. Determine k*h(v) - 24*g(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3*x - 64. Let m(l) = -5*l - 68. Let q(k) = -4*k - 67. Let o(i) = 2*m(i) - 3*q(i). Let t(j) = 5*o(j) + 6*r(j). What is the derivative of t(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 737 + 943. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5223517895?\nAnswer: 5, 1044703579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102102112020 + -2?\nAnswer: 102102112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 bigger than 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*a**2\/7 - 136*a + 31680\/7 = 0. Calculate a.\nAnswer: 40, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - -23. What is the remainder when 162 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*24100.\nAnswer: -48200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1495  (b) -4  (c) 1\/9  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-2)\/2)*(0\/20)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 2*u + 2*u)*(42 - 45 + 58) + (u + u + 0*u)*(-3 - 1 + 2) + u - 4*u + u.\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n. Let y(g) = -2*g**2 - 7*g - 1. Suppose 3*h - 8*h - 30 = z, 0 = 4*z + 2*h + 30. Calculate z*f(r) - y(r).\nAnswer: 2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10311330 (base 5) in base 7?\nAnswer: 515360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 1551*f - 24 = 1552*f, 3*r - 3*f = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 486 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 5 - (7 + -3 + 2 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 68*t + 67. Let p be a(-1). Let n(m) = -2*m**2 + 6*m + 2. Let l(g) = -g. What is p*n(u) - 6*l(u)?\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 - 7*t - 14. Let z be d(-7). Let f = 15 + z. What is the nearest to f in 0.4, 2\/11, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 391331696 - 478909\nAnswer: 390852787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eweeeeew?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37)\/(-148)*32\/26.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-1)*((-4)\/(-4))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, -5, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(1539))**2 + (sqrt(190)\/sqrt(10) + 5)**2.\nAnswer: 10*sqrt(19) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 768 + -361. List the prime factors of r.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 3)*(1 + w - 1 + (0*w - 2*w + 4*w)*(-1 - 3 + 3))*(0*w + 2*w + 3*w) as z*w + h + k*w**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.133 - -1.133. What is the second biggest value in -4\/9, d, -10, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 177?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - j = 0. Let z be (-7)\/2*(-2 - j). Let t be 18 - (-3 - 20\/(-12))*-3. Calculate the greatest common factor of z and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o + 2*z - 16, -4*o - 10*z + 11*z + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 136*y + 328 + 896 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 10:29 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*q**3 + 386*q + 4 + 7*q**3 + 0 - 4 in the form l*q + u*q**2 + a*q**3 + j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1851 by 1305.\nAnswer: 617\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*v + 3*v = 33, f - 4*v + 3 = 0. What is the greatest common factor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -506153 (base 10) to base 11.\nAnswer: -31630a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five halves of a meter in millimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 15 + 12316*d**3.\nAnswer: 12316*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - (-9)\/15)*185\/1. Let z = 74 + f. Suppose 9*d - 14*d + 25 = z. What is the least common multiple of d and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 27*q. Let a(d) = -4*d**2. Calculate a(m(y)).\nAnswer: -2916*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -7 - 6 - 14 - 6*n + 26. Let v(x) = 7*x + 1. Give -5*u(k) - 4*v(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Calculate the remainder when (5 - 6)*(0 - h) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 divided by -6?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 73 - 69. Let o(s) = -x*s + 4*s - s - 4*s. Let g(a) = 3*a. Calculate o(g(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 350070379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2 - 3*y - 5. Let m(v) = -5*v**2 - 5*v - 8. Let d(n) = -5*m(n) + 8*q(n). Calculate d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -62  (b) 4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -1101010000001110?\nAnswer: 1101010000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100112 - 202?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3\/((-3)\/(-3209)) - (-11 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -9*a - 9\/2*a**2 + 4. Differentiate l(w) with respect to w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*m = 262, 4*m + 4 = -4. Let x(h) = 91 + h - s - 21*h. Let w be x(-5). Calculate the greatest common factor of w and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4 + 2*a - 6*a + 3*a - a**2. Let n be y(0). Suppose 324 = 2*j + n*j. Calculate the greatest common divisor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-3 - 7) + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/2979  (b) 0  (c) 10  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 504653738?\nAnswer: 2, 17, 79, 187883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42552 is divided by 2320?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cyycccycypccyccipy. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(660)\/(2*sqrt(12))*-3)\/(sqrt(605) + sqrt(605) + sqrt(605)*-1*1 + sqrt(605)))**2.\nAnswer: 9\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvqvvvvvq. Give prob of sequence qqvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*a - 8*g - 28, 0 = -g - 4. Suppose 2*s - 180 = u, -5*u = -0*u + a*s + 835. Let r = u + 424. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, p: 6}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -22454 (base 7) in base 10?\nAnswer: -5723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2867405817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 880 and 30?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**2. Let b(k) = -7*k - 440. Let r(c) = 4*c + 1. Let g(w) = -b(w) - 2*r(w). What is f(g(u))?\nAnswer: -2*u**2 + 1752*u - 383688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -925 - -913. Let d(g) = g**3 + 11*g**2 - 8*g + 75. Let o be d(n). Solve 4*r + o - 11 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 2:19 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c = 2*c + 315. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1231 - 24?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g - 2*g**3 - 10835 + 10865 + 3*g to v*g + z + x*g**2 + r*g**3 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 11:01 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 60*j + 25. Suppose -4*k - 32 = 3*c, -28*c + 4*k = -32*c - 36. Let o(d) = 5*d + 2. What is c*g(z) + 50*o(z)?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 268*k - 3214. Let w be m(12). Solve -w*d - 12 = 3*s - 5, -21 = 4*s + 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1094358 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 59.97917cm?\nAnswer: 599.7917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -285422\/238017 - -1\/14001. Let p = l + 23\/17. Let j = -0.8 + -0.2. Sort p, j, 5 in decreasing order.\nAnswer: 5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 303679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 4*t**7\/7 - t**3\/3 - 15. Find the third derivative of y(r) wrt r.\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(-1 + -2 + (1*(sqrt(108) + -1) - sqrt(108)) + -4)*-5.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.5 + -3.6. Let o = -6.344 - -6.394. Which is the fourth smallest value?  (a) -5  (b) 0.5  (c) p  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9870*u**2 + 60*u + 20?\nAnswer: 19740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -165\/4*j**3 + 81\/4*j**2 - 3\/4*j**5 + 87\/4*j**4 + 0*j + 0.\nAnswer: -3*j**2*(j - 27)*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*z + 12*z + 23*z)*(-23*z + 31*z + 23*z).\nAnswer: -992*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (441\/196 - 153\/(-156)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6, 5, 4, 2 in increasing order.\nAnswer: -6, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 53 + -52 + (1 + 1)\/2. Put 5, 8, z, 4 in descending order.\nAnswer: 8, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**5\/9 + 10*g**4\/9 - 14*g**3\/3 - 106*g**2\/9 - 56*g\/9 = 0. Calculate g.\nAnswer: -7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -84724 divided by 4?\nAnswer: -21181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n + 68. Let s = -15764 + 15757. Give p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + s - 2*s + 13 = 0, 0 = 6*g - 4*g + 2*s - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -5*m - 46, x = -0*x - 2. Let n(c) = c**2 + 8*c. Let a be n(m). Suppose 2*w - 11 - 7 = a. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -a - 5*s, 3*a + 0*a - 174 = -4*s. Suppose 0 = -4*v + 2*l + a, 2*v + 2*l + l - 27 = 0. Is 416 + 0 + (v - 18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 + 5*t**2 - 6*t. Let r = 21 + -15. Let z(m) = -2*m**3 - 4*m**2 + 5*m. Suppose 5*x + 3*p = 22 - 3, x - 1 = -2*p. Calculate r*z(v) + x*d(v).\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + 11 + -19 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34\/315 + -4\/35. Which is the fourth biggest value?  (a) 6  (b) l  (c) -3\/4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - (-2)\/2)*3. Suppose -86 = -5*j + c, -p*j + 39 + 7 = 5*c. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -376.1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmy when three letters picked without replacement from {u: 10, y: 3, p: 5, m: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1037197898 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -54425375 rounded to the nearest ten thousand?\nAnswer: -54430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228096 is divided by 2507.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 77258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**2 - 2*g - 1818. Let v(c) = c**3 + 7*c**2 - 7*c - 5452. Give 7*n(h) - 2*v(h).\nAnswer: -2*h**3 - 1822","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 290 divided by -58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + (-65)\/25)*385. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v + 12. Let m(a) = a - 20. Let c be m(15). Let l = -11 - c. Determine h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 79707, 159435, 239165, 318897, 398631?\n\"Answer: u**2 + 79725*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 3 - 2 - 5971*i**3.\nAnswer: -5971*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 246303188839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 5*t**2 + 1324*t + 115. Determine y(-34).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33681\/20 - 6737\/4. Which is greater: 5716 or f?\nAnswer: 5716","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2442770 and 1802.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 1 = 3*n - c, -3*n - 3*c + 18 = 0. What is the remainder when 15 is divided by (-119)\/(-14) - 2\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1850 + -1847. Solve 0 = 5*j + 14 + 6, h*k - 3*j - 27 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)\/(sqrt(32)\/(sqrt(12)\/sqrt(3))))\/(sqrt(200)*-2*3).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -29, 1, -4, 4 in descending order.\nAnswer: 4, 3, 1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-328*t + 88*t - 130*t)*(3 + 0 - 5).\nAnswer: 740*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -6, h - 14 = -2*t - 2*h. Suppose 9*y - 7*y = t. Solve -y*g + 3 = 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 332 and 1826.\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -793 (base 10) to base 16.\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -1  (c) 137  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -7*k**5\/5 - 593*k**4\/5 + 1388*k**3\/5 - 348*k**2\/5 = 0.\nAnswer: -87, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3646.500007374 + 3646.5. What is t rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 5400?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 2*b = 15, 30 = -91*k + 93*k - 4*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.1?  (a) -4  (b) 2\/71  (c) -2264  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -2347*j**7\/21 - 1961*j**4\/12 - 336*j + 3. What is the third derivative of i(q) wrt q?\nAnswer: -281640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0839 from 3936586.\nAnswer: 3936586.0839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -1 - 2. Suppose -2*f = 0, 3*f + u = -d - 0*f. Calculate the least common multiple of (41 - -1)*d\/(-9) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1098064332 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1352039\/1060360 + 2\/26509. Find the common denominator of q and 54\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9, -11, 0.7, -25, 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 98 = 5*z, 5*m - 6*m = -3*z + 59. Suppose -z = -11*o + 6*o. Suppose -o*n - 4*h = -28, h + 7 = n + 4*h. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 13*j - 9*j - 11, -20 = -5*j. Let w(h) = 3*h + 1. What is w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(2)*5 - sqrt(15))\/sqrt(3) + sqrt(50)\/(sqrt(1210)*1) + -1.\nAnswer: -1 + 45*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - 9)\/((-6)\/2811) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 415253760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/3*45\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -194*a - 5047. Calculate f(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from chjhechjhchcchjjjc. Give prob of sequence chce.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (28\/(-84))\/(1\/(-6)). Let g = d - 2. Suppose g = -8*u + 687 + 817. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31 + -56. Let o = -27 - w. Let q(a) = a**2 - 4*a + 3. Let y be q(3). Sort 5, o, y.\nAnswer: o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 61631\/115  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2384175, 2384169, 2384163?\n\"Answer: -6*u + 2384181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - j = -5*h + 321, -2*j = 5*h - 317. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*t + 6. Does 3 divide (t - 0)*(-5)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 400 and 2336?\nAnswer: 58400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, w: 3, z: 1, d: 1, x: 1, b: 3}. What is prob of sequence jjw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -592069839*c**2*q + c*q - 157294*q + 996 with respect to c.\nAnswer: -1184139678*c*q + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 85221*x**2. Let a(h) = 2*h. Calculate r(a(u)).\nAnswer: 340884*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 267491?\nAnswer: 7, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g - g - 20*g + 11*g + g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46347.\nAnswer: 3, 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**5\/13 - 164*s**4\/13 - 1746*s**3\/13 - 4624*s**2\/13 - 184*s\/13 + 6720\/13 = 0. Calculate s.\nAnswer: -70, -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48064697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 13289, 26584, 39879, 53174?\n\"Answer: 13295*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (-3 - -11)\/(-4). Suppose n = -2*d + 19. Calculate the remainder when -1*(1 + -14) - -2 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000410572 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14311919 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 701160 divided by -70116.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, -1\/7, 149, 1, 0 in descending order.\nAnswer: 149, 7, 4, 1, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2354 a factor of 1755060010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 6 + 2*f**2 - 3*f**2 to the form r + t*f**2 + s*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 16*i - 47. Determine y(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 + 14*l**2 + 17*l + 1. Let g be i(8). Solve -3*o = -g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 - -28. Suppose 2*z + 5 = -a, -5*z - 3 = 2. Sort p, 3, a, -4 in ascending order.\nAnswer: -4, a, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 6*m + 8. Let g be r(6). Let h be g\/(-10) + (-87)\/(-15). Suppose -h*w + 129 = -186. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1. Let g(z) = 12*z + 851. Let c be g(-71). Let j(s) = 0 + 2 - 10*s + 3. Let h(r) = c*j(r) - 4*i(r). What is h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s - 28. Determine r(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j - 5. Let n(m) = m - 3. Let a be n(8). Let y(i) = 2*i - 5*i - a - 4. Give -9*u(l) + 5*y(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.84065 - 0.3.\nAnswer: -3.14065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c - 1. Let s be r(3). Let m be -4 + 9\/(36\/(-16)). Let u be m\/7*7\/(-2). Solve 30 = 5*b - u*d, 2*d = -b - s*d - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 - 35*t**2 + 94*t - 37. Calculate g(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*j**3*k + 2*j**3 + j**2*k - 101609*j**2 + 2262*j*k - k - 4 wrt j?\nAnswer: 30*j*k + 12*j + 2*k - 203218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 - 2*y**3 - y**3 + (3*y**2 + y**2 - 5*y**2)*(140*y - 81*y + 140*y).\nAnswer: -201*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -574*i**5\/11 + 1686*i**4 + 300172*i**3\/11 + 1216584*i**2\/11 + 1169712*i\/11 - 440640\/11 = 0.\nAnswer: -6, -204\/41, -2, 2\/7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**3 - 9*n**2 + 21*n + 28. What is the remainder when m(-8) is divided by 57?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 4*q + 3*q)*(-2 + 6 - 2)*(805 - 805 - 67*q).\nAnswer: 134*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(832)*4)**2 + sqrt(832))*6 - (((-4*sqrt(65) + sqrt(65))*4)\/sqrt(5) + 0).\nAnswer: -79872 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 253*p + 4846. Let h(z) = z**3 - z**2 + 10. What is the remainder when k(-19) is divided by h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + sqrt(1872) + ((sqrt(1872) + 2)*-3 - sqrt(1872)) + (sqrt(1872) + sqrt(1872)*-1 + -1 - (sqrt(1872)*2 + sqrt(1872) + -4 + sqrt(1872))))**2.\nAnswer: 1008*sqrt(13) + 91764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {u: 4, f: 6, k: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from kkcqqkqddd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1162 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2449.5 + 2450. Which is the fourth smallest value?  (a) 48  (b) -4  (c) n  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -192 divided by -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/35 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13988987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.67329 millilitres in litres?\nAnswer: 0.08767329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-9)*((-6 - -19) + 5). Find the first derivative of m*n + 0*n**2 + 67 + 5*n**2 + 77 - 109 wrt n.\nAnswer: 10*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -56, -122, -188?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(45)*-3)\/((sqrt(99)*-5)\/sqrt(11)))**2.\nAnswer: 324\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (12 + -15 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5528.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71*528\/(-7623) - 38\/627.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 17 = n, v - 2*n = -3*n + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, 17, 97, 221, 389?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 2. Let u be (0 - 2)*19\/(-2). Suppose c = -3*g + u, -3 = -3*g + c + 8. Solve 0*r = g*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7 + i**4 + 12 + 4 wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -22*t**2 - 9*t - 10. Let b be q(6). Let n = b - -1536. Suppose 4*k - n = 88. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37758148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(35)\/sqrt(7))**2 - (sqrt(5) - 2*(sqrt(5)*1 - sqrt(5))).\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2 + 8*o + 51. Calculate p(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20771, -83077, -186909, -332261, -519127?\n\"Answer: w**3 - 20769*w**2 - 6*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1143224*i + 1143223*i - 25 + 23.\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 257398?\nAnswer: 257397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1025190 = -11*u - 32737. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/42 + (-2550723)\/4410. Let a = f + 579. Find the common denominator of -25\/4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-9)\/81*0)\/(-1). Let x(k) be the first derivative of -23 - 9\/2*k**4 + 20\/3*k**3 + 0*k**2 + m*k. Find the third derivative of x(j) wrt j.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/2)\/((-25)\/(-10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.03, 3, -3\/13, -2\/13, -57, 5?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3377758396 to the nearest integer?\nAnswer: 58118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(13) + -2 + sqrt(91)\/sqrt(7) + 1)*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39860 - 39804. What is the greatest common factor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233297241.\nAnswer: 3, 77765747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -859.2*1.2\nAnswer: -1031.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q\/q**(2\/9))*q*q\/(q*q**1)*q)\/(((q*(q*q**(-3)\/q)\/q)\/q)\/(q\/q**(2\/7))))\/(((q**1\/q)\/q*q**(1\/2)\/q)\/(q**0)**(-47)) assuming q is positive.\nAnswer: q**(811\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - u = 21, 0*j + 2*j - 3 = -5*u. Let x be (0 + -2)*16\/j. Calculate the common denominator of 38\/3 and (9\/(-36))\/(6\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1638 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 282 by -6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 250 - 248. Let a be (-8)\/54*((-15)\/u)\/(-5). What is the nearest to -0.1 in 1\/2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 949 = -5*q, a = -3*a + 12. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -4. Let s = -2 + 3. Let d be 36\/(-21) + (3 - s). What is the closest to d in 2\/9, v, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 5:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 236, 246, 268, 308, 372, 466?\n\"Answer: s**3 + 3*s + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*g + 6355 = 60*g - 122*g. What are the prime factors of g?\nAnswer: 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16 + -3129?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 28 - 120*x - 105 + 731*x.\nAnswer: 611*x - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 21*o + 362. Calculate the lowest common multiple of 200 and h(-2).\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22\/(-2 - 0) - (3 + 1). Let q be 11 + (-8)\/(40\/k). Suppose 26 = c + q. 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: Find the first derivative of 6518305*l**3 - l**2*y - 8*y + 213964 wrt l.\nAnswer: 19554915*l**2 - 2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/8 + 122\/(-4). Let f be (-4)\/b + 33\/90. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6 = -r - 0, -q - 3*r = 2. Let w(u) = -u**3 + 10*u**2 - 10*u + 13. Let o be w(9). Suppose o + 0 = q*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4581, 9167, 13711, 18213, 22673?\nAnswer: 27091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x**4 + x**3 - x**2 + 2*x. Let a(y) = 47*y**4 + 11*y**3 + 9*y**2 + 9521*y. Let b(f) = -a(f) + 9*h(f). Find the second derivative of b(c) wrt c.\nAnswer: -240*c**2 - 12*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29996 times -57?\nAnswer: -1709772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + 1)*(-21)\/210. Which is the smallest value?  (a) 1  (b) z  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.8, -3, 1975?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 5*sqrt(68)*-1)\/(3*sqrt(4)*2).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 5:40 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 - 348*s**2 + 51696*s - 1166848.\nAnswer: -4*(s - 53)*(s - 32)*(s + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 188837059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -31 - 31*a**3 + a**2 - 22 - 3*a - 24 + 0*a**2 + 72. Let o(j) = j**2 - 4. Let l be o(-3). Let t be y(l). What is t rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 3900*h**2 + 31263*h + 14. What is i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19\/39 in 6171, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 420 - 224 - 4*c**2 - 166 - 173.\nAnswer: -4*c**2 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13.576 + -0.276. Let l = s + -13. What is the nearest to 3 in 3\/7, l, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 166*l**2 + 655*l - 98. Calculate i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2920, 36, -7, -2, 3 in decreasing order.\nAnswer: 2920, 36, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 227 = -2*u, j - 133 = 3*u + 90. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1576 - -6.0424. Does y = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*2\/(-2)*60\/270?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1534 divide 68345836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-3))\/a**(3\/2)*a**(-4)*a**(-2\/3)*(a**(1\/4))**(-14)*(a\/(a*a\/(a\/a**1*a)*a))**1 assuming a is positive.\nAnswer: a**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-4\/19)*s**(-9)*s**(-16)*s**(-19) assuming s is positive.\nAnswer: s**(-840\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3137, -6353, -9755, -13337, -17093, -21017, -25103, -29345?\n\"Answer: i**3 - 99*i**2 - 2926*i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - u**2 + 1. Let h(m) = 2*m**2 + m - 1. Let y be h(2). Let v be 2\/(-9) + (-34)\/y. Let l(z) = 3*z**3 - 4*z**2 + 4. Determine v*j(f) + l(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 5\/2*s**2 + 3*s + 1. Let d be 2\/(-6)*(11 + -5). Determine n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 163 + -155. Factor -t - x + 42*x**2 + 2 - 38*x**2 - x**3.\nAnswer: -(x - 3)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-100)\/(-8) - 2\/4. Let j = u - -13. Suppose 0 = -3*r + 5*d + j, 0 = 2*r - 2*d - 2*d - 18. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*p**2 + 33*p**2 + 79*p**2 + (2*p + 0*p - 4*p)*(19 - 19 + 8*p).\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 - (-32 + 37) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((24700\/(-50))\/38)\/(((-2)\/(-3))\/(-2))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 458747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 182456664 divided by 2339188\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5083, 4734, 4399, 4084, 3795, 3538, 3319, 3144?\nAnswer: 3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(1\/3))**37)**(-11))**(-7\/4) assuming i is positive.\nAnswer: i**(2849\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - (-3)\/(-36)*47. Let s = -73\/132 - q. Factor 2\/11*d**2 + 2\/11 + s*d.\nAnswer: 2*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 848, 1298, 1750, 2204, 2660?\n\"Answer: j**2 + 447*j + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 9 = 18. Let p(x) = -2*x**3 - 5*x**2 + 24*x - 15. Let m(j) = 3*j**3 + 4*j**2 - 25*j + 14. Let k(s) = u*m(s) + 4*p(s). Factor k(h).\nAnswer: (h - 3)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 7:42 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.202478 to 2 dps.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 7*k**2 + 7*k + 7. Suppose -3*r = -2*r - 101. Let c = -43 + r. What is the remainder when c is divided by b(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.65 plus 0?\nAnswer: 25.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 26 = 4*l, 44*v + l = 46*v + 4 - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 88900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 18562, -136, -0.4 in decreasing order.\nAnswer: 18562, -0.4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -972, -981, -1010, -1071, -1176, -1337, -1566, -1875?\n\"Answer: -2*j**3 + 2*j**2 - j - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5333 is divided by 107?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/1549, -0.5, 179?\nAnswer: -1\/1549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of 2 + 1\/3*g**3 - 1\/2*g**2 - 2*g. Let s(o) be the first derivative of w(o). Differentiate s(f) with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 1)\/((-2)\/(-1)). Suppose g = -u + 6*u. What is the common denominator of u\/3 + 174\/32 and 11\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -4*f - l, -135*f + 140*f - l = 20. Solve -3*m + f = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*v + 9253 - 4627 - 4630 + 11*v**3 - 2*v**2 to h*v**2 + p*v**3 + d + m*v and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 4 - (34 + (-52 - -35)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 58 + 1 - (-817 - -851 - (-1 - -26))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.062 - -3.062. Let h = -175.94 + 174. Let c = -0.06 + h. What is the third biggest value in -1, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1124677.97 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 572689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 + 5*w**2 + 28*w + 5. Let n(c) = -c**3 - 2*c**2 - 14*c - 2. Let y = -5599 - -5597. Give y*g(x) - 5*n(x).\nAnswer: x**3 + 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -87?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.3 - -0.2. Let m = 10.5 + t. Let w = -15 + m. Which is the closest to -0.2?  (a) 0.4  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1631*i**3*n**3*o**3 + 3*i**3*n**3 + 67*i**3*n**2*o - 14*i**3*n*o**3 - 2*i**3*o**3 wrt n.\nAnswer: -9786*i**3*o**3 + 18*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -321 < 10516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c + 4*o = 47, 117 = 3*c + 4*o. Let j = c + -21. Let k(h) = j*h - 20*h + 19*h + 0*h. Let i(w) = 3*w**2. Determine k(i(l)).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 - 7*t - 9. Let n be g(4). Let v be (n - -9) + (-2 - 2). Solve -9 = 3*b - v*b + 5*k, 3*b + 4*k = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 = -k, 3*k - 14 = -0*s + 5*s. Suppose -7*a = 8*a - 30. Solve -a + k = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n**3 - 23*n**2 - 5*n. Let j(q) = -5*q**3 - 35*q**2 - 8*q. Calculate -5*j(b) + 8*x(b).\nAnswer: b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15211717 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.059, 0.1, 1\/5, -6, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 1. Let b be (3\/2)\/(a\/16). Solve 0*i = 2*i + b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1722*g**5 + 1078*g?\nAnswer: -34440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -211 + 151. Is (3 + -1)*(-142230)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (-16)\/((-12)\/(-3)). Solve -y + 6 = v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14275 + 15455. Which is smaller: 1176 or v?\nAnswer: 1176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3939 and 25149.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11615103 is divided by 967925.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 15 = -5*t, 2*t + b + 8 = 6. Calculate the lowest common multiple of 52 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17*(-24)\/918*-9)\/2*47\/2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**2\/8 - 669*i\/8 - 567 = 0. What is i?\nAnswer: -216, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4382*-13.37\nAnswer: -58587.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2812477.83 to the nearest ten thousand.\nAnswer: 2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 49\/5 of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**3\/2 - 1045*p**2\/2 + 37148*p + 116160 = 0. Calculate p.\nAnswer: -3, 80, 968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 2 - (186 + -167) - -32.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.1 plus 18854009?\nAnswer: 18853997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4\/d*d*d*d*d**(2\/3))\/((d**1\/d*d)\/d*d)**(3\/2) assuming d is positive.\nAnswer: d**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 865 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20207965.\nAnswer: 5, 4041593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - i + 168. Let y be s(0). Let c = 167 - y. Let f(u) = 2*u - 4. Let k be f(-3). Is c at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 3 + (-2 - 2) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 + 25.4. Let s = -5.6 - y. What is the closest to -1\/5 in s, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4 = 2*b - 2, 19 = 2*t - b. Let u be 0 - (-3 + (-216)\/(t\/(-4))). Let m = 284 + u. What are the prime factors of m?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.944036 years in centuries?\nAnswer: 0.06944036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2265747949 bigger than 2265747950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (19 + (-640)\/56).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-4 - 0) - (-589)\/(-155)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*u - 1 + 1)*(2*u**3 - 3*u**3 + 3*u**3) + 113*u**3 - 113*u**3 + 31*u**4)*(1 + 1 - 8) to the form g*u + f + q*u**4 + d*u**2 + a*u**3 and give q.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 24 = -36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*t + 0*t - 3*t)*(-2*t + 2 - 2) - t**2 + 0*t + 0*t + t**2 - 2*t**2 + 0*t**2 - t**2 + 2*t - 2*t + 0*t**2 + 2*t**2 - t**2)*(-5*t + 0*t + 3*t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 8*b**2 - b - 3. Let p be i(-8). What is the second derivative of -21*g**5 + 6*g + 15*g**p + 12*g**5 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - -2 - (-11)\/(110\/60). Let h be (3 + -3)\/(7 - o). Solve 2*x - 9*x + 21 = h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - ((3 - (4 - (2 + 8) - -4)) + 18).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 311830354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -10) + 2 + -9 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 7*o**2 - o. Let w(c) = -2*c**3 + 15*c**2 + 2*c + 1. Let d(h) = 5*r(h) + 2*w(h). Calculate the remainder when d(6) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 8*k - 4. Let q(z) = 2 - 5*z - 3*z + 4*z + 7*z. Let t be q(-3). Let f be n(t). Solve 2*y = f*i - 9, -5*i = -i + 4*y - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -46 and -44688651.\nAnswer: 2055677946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 5*u - u)*(-u**3 + u**3 - u**3) + u**4 + u**4 - u**4.\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -8*i**2 + 2*i + 1. Let c = -12 + 21. Let k be 2 + c\/(-7 + 4). Determine b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13344604.\nAnswer: 2, 7, 13, 61, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 - 27337*c**2 + 3736328*c.\nAnswer: -c*(c - 136)*(c + 27473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 14*t**2 - 5*t - 10. Let f(x) = -3*x + 26. Let j be f(12). Let v be w(j). Suppose -5*i = 140 - v. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, 3\/7, -5, 0, 4, -215 in ascending order.\nAnswer: -215, -5, 0, 0.01, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12132 (base 6) in base 3?\nAnswer: -2110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 85*c**2 - 3. Let v(z) = -3030*z. Determine h(v(w)).\nAnswer: 780376500*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.5 - -2. Let q be (2\/3)\/((-517)\/141). Put a, q, 2\/11 in increasing order.\nAnswer: q, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (2 + -7 + 4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 7*b - 33. Let l(o) = o - 1. Suppose -4*h + 2*i + 32 = 0, 576*i = -3*h + 579*i + 30. Calculate h*l(j) - a(j).\nAnswer: -j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 5*x = -6*p - 2, -5*x - 4 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-20)\/4 + 0 + 1. Let z = -191 - -203. Put -2, z, t in increasing order.\nAnswer: t, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -753 - -18127\/24. Let l = -8745 - -192323\/22. Calculate the common denominator of l and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*l + 3. Let z = -22.9 + -5.2. Let x = -28.5 - z. Which is the closest to -2\/15?  (a) l  (b) 5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) - -1*sqrt(76)*-6)))))\/(sqrt(16)*-1) + 4.\nAnswer: -7*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 2*j - 15 = 0, -6*x + 7*j - 23*j - 35 = -5*x + j - 9*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100110 - 1010010?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g - g)*(3*g - 6*g - g) - 3*g**2 + g**2 - 2*g**2 + (0*g + 2*g - g)*(3*g + 0*g - g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -81  (b) 0.4  (c) 2\/23  (d) 2\/9  (e) -3.9  (f) 1\/5  (g) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 0.5, -18.3 in descending order.\nAnswer: 5, 3, 0.5, -18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o*o*o\/(o*o**(-1\/2))*o)\/o)**(-2\/155)*o*o\/(o*o**(-2\/7))*o\/o**(-2)*o)**(1\/5) assuming o is positive.\nAnswer: o**(5686\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 42, -161, 5, -5 in decreasing order.\nAnswer: 42, 5, 1, -1, -5, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 2*g = 4*x - 0*g - 2*g - 44, 0 = -x - 12*g - 164 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 17 = 2*a, 4*a + 3*z + 0 = 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1616*c**5 - 2*c**4 - 246*c**2 + 65 wrt c.\nAnswer: -96960*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.15 + 0.15. Let r = 7 + d. Let z be 4*2 + -1 - (-29 - -31). Put -2\/3, z, r in decreasing order.\nAnswer: z, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(352)\/(-2*sqrt(8)) + (sqrt(44) - (sqrt(176) + 2)) + (-1*sqrt(44)*-6 - (sqrt(44) - (-2*sqrt(308))\/sqrt(7))) + -4)**2*-1.\nAnswer: -135 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a - 6. Let v(n) = n - 1. Let c = -10 - -11. Let w(i) = c*b(i) - 3*v(i). What is the derivative of w(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5.5?  (a) -0.5  (b) -2\/11  (c) 2\/7  (d) -28.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u - 1. Let f(d) = -4*d**2 + 45*d - 36. Let w(p) = p**2 - 11*p + 9. Let o(g) = 2*f(g) + 9*w(g). Let b be o(8). Calculate l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 484614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - 6*u - 7*u + (-4*u + u + 2*u)*(3 + 2 - 6))*(0 + 3 - 2)*(47*u**2 - 47*u**2 + 8*u**3).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of 601*k**6\/120 + 73*k**5\/6 - k**3\/6 - 465*k**2. Find the third derivative of a(x) wrt x.\nAnswer: 3606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 9477.\nAnswer: -947.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5343 + 505?\nAnswer: -4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 364 divided by 4.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3004 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97, 168, 239, 310?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -14, -43, -84, -137, -202?\n\"Answer: -6*v**2 - 11*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6487000 to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 7. Let t(f) = f**2 + 4*f + 2. Let k(d) = -d. Give c*k(r) - t(r).\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 - 12. Suppose 3*h - 177 = -v. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 4)*(-4*s**2 + 0*s**2 + 94*s**3 - 85*s**3).\nAnswer: 9*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -403 less than or equal to -405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 490 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -11*b - 54. What is l(-34)?\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6614*o + 4396.\nAnswer: -6614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 3*k = -23, 5*j - 11*k = -2*k + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*z**4 + 272331*z**2 + 9*z - 20376 wrt z?\nAnswer: -84*z**2 + 544662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1675, -2442, -3259, -4126, -5043, -6010?\nAnswer: -7027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.7425574 plus 2288884?\nAnswer: 2288887.7425574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 151527339 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -858 + 1908. What is the units digit of f\/(28\/4) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/7  (b) -5  (c) -4  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -53.44006494 and -0.77.\nAnswer: -54.21006494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43473 + 61431. What are the prime factors of q?\nAnswer: 2, 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**3\/m**(-5)*((m**(-1\/3)\/m*m)\/m*m)\/m*m**(1\/2) assuming m is positive.\nAnswer: m**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 2*v + 2 = 0, -d - 3*v + 72 = 54 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 39130 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**2 + 0*r + 0*r)*(192*r + 7261 - 7261 + 716*r) to the form d + h*r**2 + n*r + v*r**3 and give v.\nAnswer: 1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from {k: 3, t: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -59618457490 to the nearest 1000000.\nAnswer: -59618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 9. Let i be k(8). Let s = 1 + -1. Solve s + i = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 486 and 29417580?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 7*u - 8. Let z be q(-10). Suppose z*l - 26*l = 0. Put 4, 3, l in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 129*y - 5287. Let j be r(41). Suppose 4*k - 6 = -3*z + z, 3*k = 2*z - 6. Factor -400\/9*u**4 - 28\/3*u**j + 0 - 160\/3*u**z - 4\/9*u.\nAnswer: -4*u*(u + 1)*(10*u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g\/g**(-7))*g**(-2\/9)*(g*g**(-3))\/g**(2\/13))**(-3\/37) assuming g is positive.\nAnswer: g**(980\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 1. Let t(h) = -h**3 - 8*h**2. Let y be t(-8). Is w <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131 - -10?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 444 and 2652?\nAnswer: 98124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/30*(6 + -14). Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6642907309?\nAnswer: 6642907309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-166 + 167)\/(5\/145).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*(z\/(z\/(z**(1\/2)*z)))\/z)**(-4\/15))**(-2\/67)*((z\/(z\/(z\/(z**(-2\/5)\/z))))**(-1\/40))**(8\/9) assuming z is positive.\nAnswer: z**(-208\/5025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 54*c**2 - 54*c + 85. Let f be y(-53). Solve f*w = 135*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9910296 divided by -216\nAnswer: -45881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 211 + -175. Is h\/(-30)*(-920)\/3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -l**7\/1260 + l**6\/540 + l**3\/6 + 4*l. Let x(v) be the second derivative of w(v). Solve x(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002119 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/24178 and -48\/11.\nAnswer: 24178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 5*k - 7. Let y(w) = -w**3 + 13*w**2 - 14*w + 18. Let t be y(12). Let p be l(t). Let q = 0.5 + -0.7. Put q, p, -2 in decreasing order.\nAnswer: q, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3399852015 a multiple of 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 4) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -10260 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 101100 (base 2) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 51380?  (a) 4  (b) 3  (c) 0.03  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 206, 408, 690, 1052, 1494, 2016?\nAnswer: 2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 21*v**2. Let l(z) be the first derivative of -4*z**3\/3 + 3*z**2 - 9351. Give l(a(w)).\nAnswer: -1764*w**4 + 126*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3150997 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2 = -10. Let k be ((-1)\/(-9))\/(9\/(-90)) + w. Which is greater: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -172229\/10438 + 1\/5219. Let f(h) = -h**3 - 3*h**2 + 8*h + 3. Let n be f(-6). What is the common denominator of (-1)\/4 + n\/(-60) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by 5\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 33529, 32381, 31233, 30085, 28937?\n\"Answer: -1148*h + 34677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 51761 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -3*q + 4*i, -266*i + 40 = -5*q - 263*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-54)\/36)\/((-14)\/(-4)))\/((-4)\/(616\/2))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by 8\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fooooofoof. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/4, -0.0585, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33 and 2118?\nAnswer: 23298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 75218 * -0.08.\nAnswer: -6017.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 1830 = 5*v, -2*v - 2*p + 366 = -v. List the prime factors of 8\/10 - (3 - v\/5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19.3 + 19.431. Round u to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**5\/3 - 4507*j**4\/3 + 9026*j**3.\nAnswer: -j**3*(j - 6)*(j + 4513)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 30 = 13*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, x: 2, d: 1, a: 2, j: 1, k: 7}. What is prob of sequence jg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -103 times -156\nAnswer: 16068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*w + 90*w - 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 4364?\nAnswer: -4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + ((-44)\/(-352))\/(2\/32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/24126292 and 35\/144?\nAnswer: 868546512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/1*-68*(-4)\/8. Let a = -34 - w. Suppose a = -3*o - h - 11, 4*o - 5*h + 9*h = -12. Sort o, -11, 0 in decreasing order.\nAnswer: 0, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n - 25 = 17. Let k be (-1 - -2)*-2 - 33\/n. Suppose -k*m + 816 = -264. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-5\/2)*x\/(x**(-6\/17)*x) assuming x is positive.\nAnswer: x**(-73\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i + 71365 = -10*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -467*w**2 + 1403*w\/3 - 2\/3.\nAnswer: -(w - 1)*(1401*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2618 + 2652. What is the smallest common multiple of s and 26?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.7 + -2. Suppose 0 = 2*s - 2*n + 6*n - 6, -n = 3*s - 4. Let i be (s + 0 + -2)*-1. Sort 0.1, i, y in ascending order.\nAnswer: y, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*w + 3 = 157*w. Let t(n) = 1. Let a(c) = -11*c + 2. What is w*a(v) - 2*t(v)?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*v**3 - 25*v**3 + 3*v**3)*(2*v**2 - 4 + 4) - 2*v**5 + v**5 + 0*v**5.\nAnswer: -77*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 17 + -4750 + 4734?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -126158797*s**3 + 459*s + 4170?\nAnswer: -756952782*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/(-11) - 30342\/(-143)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 1 = -5*p + 6, 5*g - 4*p + 67 = 0. Let c(k) = k + 17. Let h be c(g). Suppose 14 = 2*b + h*v, -3*b = 2*b + 4*v - 38. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2032162 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -195, -297, -401, -507?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 2592 = 3*i. Let d = 10639\/4 + -2643. What is the common denominator of d and (-234)\/i*(-66)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/16043019 and -74\/27?\nAnswer: 144387171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 - 4)*(0*q**3 + 0*q**3 + q**3) + 2*q**3 - 7*q**3 - q**3 + q**3 + 37*q**2 - 37*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -781, -2\/5, -0.04, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 117902438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 + 21 - 21)*(21*s**2 - 237*s**3 - 21*s**2).\nAnswer: -474*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26*39\/((-9126)\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {r: 1, y: 4, h: 4, k: 2, q: 3, a: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5106981 is divided by 581.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 118232008131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1, 2\/3, -3, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*r + 4*r - 2*r)*(5*r + r - 3*r + (-2*r - r + 4*r)*(1 + 2 - 1)) - r**2 - 3 + 3 to d + n*r**2 + x*r and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/((-1)\/(39\/6)). Let i(a) = -9*a. Let h(v) = -v - 1. Let s(l) = 15*h(l) - i(l). What is the units digit of s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + 6. Let s = 3 - b. Let w(h) = -h**3 - 8*h**2 - 7*h + 5. Let t be w(s). Solve 0 = -t*y - 25 - 0, -4*y = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lmxm when four letters picked without replacement from {j: 2, l: 1, x: 1, m: 11, s: 1}.\nAnswer: 11\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (7 + -3 + 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/13 + 10260*c\/13 - 13158450\/13.\nAnswer: -2*(c - 2565)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2994?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -226315, -452636, -678947, -905242, -1131515, -1357760, -1583971?\nAnswer: -1810142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1410690 is divided by 141064?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1))**(-45)*(d**(-2\/5))**(2\/7) assuming d is positive.\nAnswer: d**(1571\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 28\/(-4)*(46\/(-7) - -6). Suppose 2*x + 3*x = -3*q - 50463, -3 = 3*q. Is 3\/d - x\/48 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/(sqrt(48)\/sqrt(4)))\/(sqrt(243) - (sqrt(243) + sqrt(243)*-1) - sqrt(3))*-5)**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -52626.\nAnswer: 210504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*h - 14 + 14)*(-2*h**2 + h**2 + 2*h**2).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1117, 2, 0, 9982, 0.3 in ascending order.\nAnswer: 0, 0.3, 2, 1117, 9982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 45. Suppose -10*a - 2*a = -96. What is the least common multiple of a and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 10*y**2 + 12*y + 3. Let v(b) = 3*b**3 + 30*b**2 + 37*b + 8. Let m(o) = 7*p(o) - 2*v(o). Let l be m(-9). Which is bigger: l or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(30)\/sqrt(6) - sqrt(5)*3*-4.\nAnswer: 4 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -7*f**2 + 16*f - 10. Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**7\/j*(j**(-2\/7)*j*j)\/j)\/(j**(-6)\/j)**(3\/13))**(-12\/11) assuming j is positive.\nAnswer: j**(-9096\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-207)\/4347)\/(12\/9).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 29*i**2 - 4*i - 7. Let h(o) = 194*o**2 - 2*o - 3 - 105*o**2 - 74*o**2. Calculate -5*h(r) + 2*x(r).\nAnswer: -17*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -9  (b) 24.93  (c) -3  (d) -3\/4  (e) -2.1  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4790 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q**(-4\/3)\/q*q))\/(q\/(q\/(q**(2\/17)\/q))))\/(q**5*q\/(q\/(q\/(q\/(q**(1\/6)*q*q))*q*q))))**25 assuming q is positive.\nAnswer: q**(-15175\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 + -5.5. Let v(z) = z - 2. Let q be v(5). Put g, -1\/4, q in decreasing order.\nAnswer: q, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7980666*q - 4853328 wrt q.\nAnswer: 7980666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2 + 2 - 5 + b**2. Let l be (0 - -1 - 4) + 0. Let k be f(l). Solve 3*v + k = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36 - 36 + 13*z + (-3 + 5 - 1)*(4 - 2*z - 4) - 84*z - 71*z + 59*z)*(-3 + 2 + 3).\nAnswer: -170*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 8. Is (8\/(-6))\/(o\/108) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-1 + -1 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3448 + 3940. Let i(m) = t - 7388 - 3*m. Let g(q) = 3*q - 1. What is 2*g(h) + 3*i(h)?\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -651556856\/47355 - 45503\/1435. Let j = 13793 + t. Find the common denominator of 47\/39 and j.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 6*g**2 - 1. Let h be z(6). Let k = 254 + -84. Let l be 40\/(-16)*(-12)\/k. Are l and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (224\/(-128) + (-57)\/(-28))*17*14. Let k(x) = -x**3 + 67*x**2 + 71*x - 201. Calculate k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4901786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 579416a (base 12) to base 2\nAnswer: 1000000010101100011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22922 + -22921.975939. Round w to 4 dps.\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 0*x**6 + 0 + 0*x + 1\/336*x**8 + 0*x**4 - 12*x**2 + 0*x**3 - 1\/105*x**7 + 0*x**5. Solve w(g) = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -d**6\/18 + 2*d**5\/15 + d**4\/9 - 19*d + 20. Let o(n) be the first derivative of j(n). Solve o(a) = 0 for a.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2820*p + 1497*p = -1501*p + 22072 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((5 + sqrt(1088) + -2 + sqrt(1088) + sqrt(1088) - 1*sqrt(1088)*-4) + -5)**2.\nAnswer: -224*sqrt(17) + 53315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(17) + sqrt(272))*4 + 0 + sqrt(102)\/(sqrt(30)\/sqrt(45))).\nAnswer: -138*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*s**2)*(-2*s**2 - 2*s**2 + 3*s**2) + 4*s**4 + 5*s**4 - 4*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -2894?\nAnswer: -2894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 21. Suppose -o*v = -5*k + 858, -4*v + 62 = -3*k + 579. Is 53 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9030.082 litres in millilitres?\nAnswer: 9030082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 62?  (a) 13  (b) -1\/2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -5 - 2. Suppose k*j - 2*j - 25 = 0. Suppose j*r - 5*f = -0*f + 150, -r = -3*f - 34. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 - -ba1?\nAnswer: b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5455*0.01\nAnswer: 54.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 67517 divided by -2?\nAnswer: -67517\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1013 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5157539787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 8*i + 2. Suppose 2*g = 7*g - 40. What is the units digit of b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4307 divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 25. Suppose o = 6*o. Solve o*u - 8 = -k*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 250 = -20*x. Let q(z) = 4 - 27 + 13 + 6*z + x. Let u(n) = -18*n**2 + 24. Let t(a) = -a**2 + 1. Let r(l) = 24*t(l) - u(l). What is r(q(c))?\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -225996 plus 0.41?\nAnswer: -225995.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -10*q**2 + 5*q + 4. Let r(c) = 7*c**2 - 3*c - 3. Let z(b) = 7*r(b) + 5*y(b). Let j be z(3). Solve -j*k - 8 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9941, 9942, 9943, 9944, 9945, 9946?\n\"Answer: q + 9940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s + 48. Let i be a(-46). Suppose -4*c = i*b - 3266, -4*c + 3262 = 19*b - 21*b. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2295, -125, -5 in decreasing order.\nAnswer: 4, -5, -125, -2295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 12 + -4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8562 + -3380. What are the prime factors of b?\nAnswer: 2, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 0*v**2 + 0*v**2 - v**2. Let b(j) be the third derivative of 29*j**5\/60 + 1105*j**2 - j. Calculate b(q(c)).\nAnswer: 29*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 5:07 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 68395592 and 0.2.\nAnswer: 13679118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of 421*f**7\/105 - f**5\/20 + 31*f**4\/12 + f**3\/3 - 7978*f**2. Find the second derivative of u(a) wrt a.\nAnswer: 10104*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 - 20. Let j = i - 6. Let z = -0.04 + 0.04. Is j not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 5)*(-5 + 4 - 1)*(z**4 + 0*z + 0*z + (-9*z + 4*z - 12*z)*(z**3 - z**3 - z**3)) as q*z**2 + s + m*z**4 + a*z + c*z**3 and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 355240 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.043228 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 1, 0*j + v + 115 = 4*j. Suppose 4*x + 8 + 0 = r, -5*r = 2*x - 84. What is the remainder when j is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114541445 (base 7) to base 11.\nAnswer: -40462a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3*(1 + sqrt(208)) - 6*(2*sqrt(208) + 4))**2.\nAnswer: 3120*sqrt(13) + 47476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 - 4*y - 5*y**2 + 4*y**2 + y**3 + 0*y**2 + 5. Let g be q(4). Solve 0 = 3*k - 5*u - 40, -5*u - 45 = -g*k - u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1938 and 1368?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16367 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -111?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 53*l - 51*l + 209*l - 56*l to the form q + x*l and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13\/80 - 3813\/80. What is the common denominator of 45\/28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15812 - 79391\/5. Let n = h + 66. Let k(z) = -z**2 - 4*z + 7. Let d be k(-6). Which is the third biggest value?  (a) 3  (b) n  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6654.05 - -6654. What is the closest to 0.4 in -3\/8, 3\/2, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 299447155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 7:37 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 7:44 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1651720*i. Let c(j) = 3*j**2. Calculate w(c(x)).\nAnswer: 4955160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 81 - 31. Suppose 0 = 14*j - 36 + y. Sort 0, -32, j in increasing order.\nAnswer: -32, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2572121895 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -136*j**5\/11 + 31102*j**4\/11 + 2577840*j**3\/11 - 4466350*j**2\/11 - 1586624*j\/11 - 7032 = 0?\nAnswer: -66, -1\/4, -1\/17, 2, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102429 is divided by 17071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -1\/9  (c) -5.9988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**0)**(-40\/9)\/((k*k**(-2)*k)\/(k\/(k**(-1\/5)\/k)*k))*(k\/(k\/(k**(-1\/4)\/k)*k)*k\/((k*k**(-5)\/k)\/k*k))**(-4\/3) assuming k is positive.\nAnswer: k**(-281\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -298 (base 10) to base 15.\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-1)*-1)\/((-50)\/(-100))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**2 + 4. Let v be k(5). Suppose -3*o - v = -7*o. Let d = -19 + 33. What is the remainder when o is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 24. Let c(k) = 73*k + 13 + s + 10 - 56*k. What is the hundreds digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2768 - -2744. Let u(b) = 30*b + 39. Let j(k) = 6*k + 8. Determine p*j(z) + 5*u(z).\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((-1*sqrt(75) - sqrt(75)) + -4)*-1)**2 + 0.\nAnswer: 480*sqrt(3) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-10))\/(8\/1000). Suppose 7*s - k = -15. Solve 0 = s*o + 3*x - 4, -5*x + 2 = -3*o - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - r - 1. Let v(u) = -5*u - 5. Let h(w) = 5*c(w) - v(w). Let b(a) be the second derivative of a**3\/6 - 8*a. What is b(h(l))?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {q: 1, d: 1, l: 2, n: 1, o: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16521, 16501, 16477, 16455, 16441, 16441, 16461?\nAnswer: 16507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 964\/(-6266)*(-26)\/28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*v - 9 + 155, -5*v - 5*o - 210 = 0. Let u = v - -53. Let t be 178804\/12 - (14\/u + -2). Round t to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*g + 56*g = -251*g + 2256 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 5:14 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-60*j - 21*j - 3*j)*(2 - 1 + 0) + 5*j - 5*j - j + (4 - 5 - 1)*(-5*j + 3*j + 0*j) + 2 - 2 - 2*j)*((0*j - 3*j + j)*(3 + 1 - 3) - 3*j + 0*j + 2*j).\nAnswer: 249*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -180 - -182. Which is smaller: y or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 637755516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**4\/12 - 3*n. Let c(i) = -13*i. Let y(m) = -7*m. Let k(j) = -6*c(j) + 11*y(j). Determine x(k(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 26 - 88?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1663 by -5.\nAnswer: -1663\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 46*z = -21762. Let b = z - -706. Solve 0 = -b*i + 12, 5*x + 0*i + 28 = i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 2163.05?\nAnswer: 2163.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -387, -3013, -10131, -23985, -46819?\nAnswer: -80877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 + -42. Let z = 415 + -1739\/4. Let v = z + t. What is the third smallest value in -1\/4, v, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 5*p - 38, 5*p - 37 = d - 3*d. Let c(g) = 2*g - 54. Let t(a) = a - 24. Let l(o) = 2*c(o) - 5*t(o). What is l(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -4*n - 2. Suppose -c = -4*p + c + 18, 2*p + 3*c = -11. What is the lowest common multiple of i(-6) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 10. Let w be z(4). Let m be w*(1 - (-7131)\/81). Let x = -536 + m. Find the common denominator of -7\/4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8*y**3 + 11*y**2 + 13*y. Let r(v) = 4*v**2 + 8*v. Let c be r(-2). Let k(w) = c + 0 - 4*w**3 - 177*w + 171*w - 5*w**2. Give 13*k(b) + 6*n(b).\nAnswer: -4*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33484)\/(-1080))\/(-11) + (-13972)\/(-4990).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 + 1695 = 8*t. Suppose 11*r + t = 40. Which is greater: r or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*f - 119420320 = 57150662. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of i**4\/4 + 2*i**3\/3 - i**2\/2 + 2. Calculate the remainder when m(3) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 21*r. Let i(u) = 22117 - 22*u - 44233 + 22116. What is b(i(z))?\nAnswer: 484*z**2 + 462*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + (sqrt(7) - (sqrt(7) + (-1*sqrt(252) + sqrt(252) - sqrt(7)) + sqrt(7)))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44789?\nAnswer: 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiei when four letters picked without replacement from eieieeiiieeie.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 15 + (4 - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -542\/25 - -9761\/200. Let g = 2463\/88 - f. Let o = 46\/15 + -101\/30. What is the common denominator of o and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*y - 13*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-22)\/22*(-1 - 0). Solve -4*d + 4 + 0 = -4*q, -3*d + q = x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n + 3. Let c be j(-1). Suppose c*f - 3*z + 203 = 0, z - 3*z = -5*f - 524. Let l = 161 + f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.12 - -6.88. Let r = f - 8. Is r at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 12 - 2. Let m be -1 - (0 + 3 + u). Let g be -1*2\/4*m. Sort g, -4, 3 in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/11 - 2296*n\/11 - 31752\/11.\nAnswer: -2*(n + 14)*(n + 1134)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10.82 + 9.82. Let d = -3.1072 + 0.0172. Let s = -0.09 - d. What is the smallest value in s, -3, 1, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c636 - 5376?\nAnswer: -149ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 63, 0, 0.5, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-260)\/(-270)*9*(2\/1)\/(92\/(-69))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 2. Let u be -1 + 0 + (-568 - w). Is 1\/(-4) - u\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.03 - 3.03. Let u = 15.7279616 - 18.72796. Let x = y - u. What is x rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - p + 9, -2*d - 3*d = -2*p - 9. Suppose 0 = 3*b - 0*b - 6. Suppose -60 = a - 66. Solve 7 = -b*t + w, -2*t + d*w = -t + a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*m = -325, 4*l + 0*l + 2*m = 266. Let c(q) = -2*q**2 + 3*q + 1. Let r be c(-3). Let p = l - r. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.897170225 - 0.8972. What is i rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 4357*o - 35300. Calculate i(8).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 81\/3313, 1\/3, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15108197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -4*b**5 + 2805684*b**4 - 491990016392*b**3 - 491995627768*b**2 + 491990016396*b + 491992822084 = 0.\nAnswer: -1, 1, 350711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -49 (base 11) to base 15.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u + 685. Let t(w) = 7*w + 1369. Determine -2*t(c) + 5*z(c).\nAnswer: c + 687","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 19*p**2 - 21*p - 16. Let u(g) = -2*g - 14. Let v be u(-9). Suppose v*k - 52 = s + 2*s, -k = 3*s + 62. What are the prime factors of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 111001011 (base 2) to base 10\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*d + d + d)*(0 + 2*d**2 + 0) - 1062 + 1062 - 41*d**3 to the form t*d**2 + n*d**3 + l + o*d and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k**2\/9 - 968*k\/9 + 46\/3 = 0.\nAnswer: 1\/7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/11 or -3705?\nAnswer: -3705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -8*x**2 + 273*x - 30. Let i(o) = -2*o + 44. Calculate the least common multiple of s(34) and i(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o + 7. Let d = 47 + -30. Suppose -13*k + 16 = -d*k. What is i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*k = -172. Let j(g) = -g - 16. What is the remainder when k is divided by j(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-57)\/(3990\/224))\/(2\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 280117635254+0.1\nAnswer: 280117635254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9405 - -9329. Which is the nearest to 7?  (a) w  (b) 1\/2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1221424 divided by -4?\nAnswer: 305356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/8 + 35\/(-10). Let h(s) = -s**2 - 2*s + 6. What are the prime factors of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1354*l**2 - 560*l + 11. Determine d(-1).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 2. Let r(w) = -t - w - 6 - 3*w + 3*w. Let p(x) = 2. What is -9*p(u) - 2*r(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than or equal to 50\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + 0)**2*-2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.1  (b) -0.3  (c) -17  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -m**6\/960 + 7*m**5\/480 + 5*m**4\/96 - m**3\/3 + 5*m**2 + 12. Factor v(z).\nAnswer: -(z - 8)*(z - 1)*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - k**2 + k - 22. Let q be 9\/18*0\/2. Let v be h(q). Let o = v - -21. Which is the smallest value?  (a) -0.4  (b) o  (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*o + 3. Let w be -3 - -9 - (-1)\/o. Solve 4*k - 9 = -0*k - 3*h, -11 = -2*k + w*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 + 30. Suppose 2*n + 16 = 4*v - n, -2*v + 2*n = -u. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -5*k**2 + 40*k + 28800 = 0.\nAnswer: -72, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.03  (b) -4  (c) 0.2  (d) -4.13  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -569242802 + d**2 + 569242802.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1506 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 146 + -126. Suppose p - r = 49. Calculate the remainder when p is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 3:02 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -28, 1\/2.\nAnswer: -28, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3001 (base 4) to base 6\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 p when four letters picked without replacement from pttpttttptt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -0.63  (c) 2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7*(-3 + 2 + 0). Suppose -5*h + y + 8 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55150 (base 6) to base 13.\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-31250)\/25)\/((3\/160)\/(-3)). What is t rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -5\/2*q**2 + q + 24. Let s(h) = 21*h - 5. Calculate 2*s(t) + 9*v(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (24 - (57 + -41))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/199784 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 25\/3. Let c = -2\/55 - 51\/110. What is the nearest to -0.1 in 5, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2763868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -10 + 16 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 27 = -d + 3*o, -2*d + o - 34 = 0. Let l = 19 + d. Suppose 38 = 5*b + l*z - 86, -4*b = 4*z - 96. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0.3. Let d = 562.7 - 534. Let x = -29 + d. Which is the third biggest value?  (a) 0.4  (b) y  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 - -3. Let r = h + 11. Factor -18 + 11*b**r - 2*b + 4*b**2 + 34*b + 7*b.\nAnswer: 3*(b + 3)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4 + 14 = 0. Suppose -4*v + 2*h + 6 + 6 = 0, m*h + 4 = 0. What is the smallest common multiple of 4\/(-1)*(-27)\/12 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o**2 - 11*o - 4. Let k(v) = -4*v**2 - 21*v - 8. Let t(a) = -6*k(a) + 11*r(a). Let m be t(-3). Solve m = -3*w - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c282 (base 16) to base 2\nAnswer: 11100001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110 (base 6) to base 16.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 627909361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11946 and 107412459.\nAnswer: 5973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*(a*a**(2\/27))\/a)\/a*a*a\/(a\/(a\/(a**(6\/5)\/a))))**(-39\/4))**(6\/23))**41 assuming a is positive.\nAnswer: a**(-5863\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v**2 + 3*v**2 - 6*v**2)*(-3*v**2 - v**2 + 6*v**2)*(1241 + 180 - 292) as p*v + f*v**3 + g + a*v**4 + y*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.44 times -1.9234?\nAnswer: -4.693096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**2 + 11*b. Let h be z(-11). Suppose -2*i - 2*x + h = i, 0 = 2*i - 4*x - 54. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/2 + 81813*v**2\/2 - 838161960*v + 60968026850.\nAnswer: -(v - 40870)**2*(v - 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 64 - 92 = -l, -4*i + 18 = l. Solve 0 = l*b - 9*b + 85 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 - -91. What is the remainder when z is divided by 3*2*(-11 + 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 6*h - 10. Suppose -12 = -4*c - 0*c. Let j be (9\/c - -5)\/h. Solve 0 = -0*a + j*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.2, 1\/36, -702.\nAnswer: -702, -0.2, 1\/36, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.11 - 0.21. Let t = n - 0.8. Let b = 0.4 - -0.1. Sort -0.5, b, t.\nAnswer: -0.5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 0)*(-16)\/(-12) + 162\/(-27). Let u(v) = -v**2 + 0*v + 5*v**2 - v + 0*v**2. Let m(y) = -17*y**2 + 3*y. Determine i*m(p) - 9*u(p).\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 195598 + -124161. Round j to the nearest one hundred.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -42*u**2 + 197 - u + u**3 + 40*u - 3*u**2 + 15*u. Calculate the remainder when b(44) is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98, 193, 660, 1291, 2074, 2997, 4048?\nAnswer: 5215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + 586\/(-10) - (-4)\/(-10). Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34 + 26*n**2 - 21 - 11*n - 542*n**2 - 149*n**2 wrt n?\nAnswer: -1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 274 divide 2881240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (10\/(-8))\/(3\/(-12)). Let b be (2 + q)*(-1)\/(-1). Solve -b*p = -2*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-12)*3*24\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 96326 times 2.1\nAnswer: 202284.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 549365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 126*h**2 - 2. Give b(1).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -139 - -144. Suppose -19*p = t - 100. Solve 11 = -p*k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 1. Suppose -6*y = -x*y. Suppose -p + 3*u + y = -2, 4*p + u = 60. Calculate the highest common divisor of p and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 1:57 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 12.27. Let j = 0.26843 - l. Round j to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.23484519 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 5253822*l**2 + 1552*l + 4*l**3 - 5253822*l**2 as o*l**3 + x*l**2 + s + d*l and give d.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.3826 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 136075553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -467622 - 30?\nAnswer: -467652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 a factor of 43423746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**2 - 9*t - 1. Let n(u) = -8*u**2 + 17*u + 2. Let p(h) = -h**3 + 2*h**2 + 38*h - 87. Let b be p(6). Determine b*n(q) - 5*w(q).\nAnswer: 4*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 14 = i - 2*b, 5*b + 29 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/249?  (a) -1\/5  (b) -1\/3  (c) 26  (d) 0.3  (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24971040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14713\/11153 + -2\/587. Calculate the common denominator of l and 16\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -50, -74, -98?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*x - 39 + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 22 = f, 2*w + 10*f = 5*f - 19. Let h(d) = -10*d - 16. Let u(i) = -7*i - 11. Determine w*u(k) + 5*h(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4956697, 4956706, 4956729, 4956772, 4956841?\n\"Answer: p**3 + p**2 - p + 4956696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 e when four letters picked without replacement from fefffefefffffe.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 220 - 104. Is k > 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*u**3 + u - u + 208*u**3.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1824*o**4 + 141595*o**3 + 347*o**2 - 5588*o + 3 wrt o?\nAnswer: -43776*o + 849570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/20)*d)\/(d\/((d**(3\/11)*d)\/d)*d))**(-16\/7) assuming d is positive.\nAnswer: d**(684\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 3:16 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -71*t + 68*t - 16 + 67, 8*i + 7*t = 179 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*v - 25*v = -33*v + 229736. What is the remainder when v is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 2054?\nAnswer: -2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(99)*-4 - ((sqrt(99) + (sqrt(99)*2 + sqrt(99) - sqrt(99)))*2 + sqrt(99)))\/(-6*3*sqrt(45)\/sqrt(5)).\nAnswer: 11*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 96745*z + 870697. Determine n(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 9:30 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 785006 - -16?\nAnswer: 78501c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2160) - (sqrt(2160) + (2*sqrt(2160) - sqrt(2160)))))\/(3*2*sqrt(3) + sqrt(9)\/(sqrt(6)\/sqrt(2)) + sqrt(3)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -18*p + 7. What is the units digit of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(108)\/sqrt(144))\/sqrt(4).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/10 - -1)*(-25)\/(-110)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8658882 and 12222.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 5*a + 4605, 3*y = -3*a - 3653 - 958. Let z = y + 1096. Round z to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1161464709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t + 24*t - 228 = 0. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -825975 divided by 11013.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7997 is divided by 91?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/10)\/((-4)\/(-40)). Let h be 375\/10 + (-2)\/n. Solve 5*m - h = -12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -21. Suppose 0 = -3*q, 7 + 5 = 3*m + q. Suppose 0*z + m = 2*z. Solve -3 = -z*y - d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 74 - 74. Solve 4*k - 5 - 7 = s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -141.4 - -207. Let x = u - 370.6. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -18 - (20 - (4 - 3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o + 12. Let l = 49 + -26. What is the remainder when l is divided by f(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:14 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 32 = 13. Let o = 15 + u. Let r(j) = -j**3 + 6*j**2 - 7*j + 4. What is the least common multiple of o and r(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8293088 and 2816?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/6 - (-27)\/(-6). Let r(o) = -o**3 - 5*o**2 - 5. Let n(y) = y**3 + 3*y**2 + 3. What is z*r(c) - 5*n(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 465 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -2\/11, -5, -0.3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221202 - -2011200022221?\nAnswer: 2011201021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3136 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/(-24)*(-252)\/(-14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 20 - 68*m + 75*m.\nAnswer: 7*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3*-1)\/(8\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1)**(1\/4)*(o\/(o**(1\/6)\/o))**(-11))**(-7\/8) assuming o is positive.\nAnswer: o**(1673\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*y - 3*o + 4*o, -o = y + 1. What is the nearest to 2\/7 in -0.15, 1\/2, 3\/7, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x*x\/x**(1\/2))*x)**(-8)\/(x\/(x\/(x*x**(5\/2))*x)*(x*x**5)\/x))**5 assuming x is positive.\nAnswer: x**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -17716 + -1?\nAnswer: -17717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 44254884 to the power of 1\/2, to the nearest integer?\nAnswer: 6652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*u - 14 = -185*u - 185*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 621832 and 147276.\nAnswer: 5596488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -1. Let m be (-12)\/9*z\/(-2). Solve 0 = -m*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/(l*l\/(l\/(l\/(l*l\/(l*l**(1\/6))))))*l)*((l*l*l*l**(5\/2)\/l*l)\/l)\/l*l*(l\/((l\/(l**(1\/26)\/l)*l*l*l)\/l)*l)\/l**(1\/16) assuming l is positive.\nAnswer: l**(1649\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1333*w**3 + 2617*w**3 - 1286*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43 + 14004?\nAnswer: 13411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (72 - 57*t**3 - 72)*(-t + 2 - 2) + (-2*t + 2*t**2 + 2*t)*(t**2 + t**2 + 0*t**2) as j*t**3 + p*t + h*t**4 + n + b*t**2 and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 4243212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.05 + -0.15. Let v = -0.1 + t. Which is the second biggest value?  (a) v  (b) -0.5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f - 5*f - 3*f)*(0*f**3 - 5*f - f**3 + f).\nAnswer: 10*f**4 + 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -177.6936 and 16.\nAnswer: -2843.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2449\/130 + -293\/13. What is the common denominator of 4\/18 + 241\/90 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*g - 9*g + 4*g - 3*g + 0*g + 4*g - 2*g + 0*g + 0*g + (3 - 3 - 2*g)*(-2 - 1 + 4) - 2 + 2 - 2*g - 2*g + 3*g - 3*g - 15*g - 390 + 390.\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**3\/3 - 172*o**2\/3 + 117*o + 174 = 0.\nAnswer: -174, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 336 and 6147225.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.005 * 3.2.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 9*s + 5. Let a be t(-8). Let d be 17\/(-15) - a\/(-15). Let g be -1*(1 - (-2)\/(-3)). What is the second smallest value in d, g, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4041400?\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 208 and 264.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 30240311 (base 5) to base 4\nAnswer: 323120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3395417861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**5\/2 + 79*c**3\/2 - 123*c**2 - 126*c + 540 = 0.\nAnswer: -10, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -158 - -173. Let m be 14\/(-21)*(-7 - -1). Suppose 3*z = -u + 211, -6*z + z = -m*u - 380. What is the remainder when z is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + 1 + -1 - -6*(sqrt(13) + -2)*-5)*1)**2.\nAnswer: -3240*sqrt(13) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222 + 235 + 1632*i**2 - 1631*i**2.\nAnswer: i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*d + 3*d + 12, 4*d = -2*p + 6. Let f = p + -11. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330881 is divided by 1145.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -628*f*g**6 + f*g**2 - f*g + 2 wrt g.\nAnswer: -75360*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {k: 3, h: 7, w: 2, j: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/13131 + -385046\/853515. Calculate the common denominator of -121\/260 and t.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 608 + -608.153. What is n rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167558591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -7*g - 15 - 37*g**2 - 15 + 32*g**2 - 18*g = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102566 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*l = -46 - 150 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 = 15, -53 = 2*b + 5*x. Let t = b - -61. What is the greatest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71946.2ug to grams.\nAnswer: 0.0719462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5017\/6 + -855. Let a(r) = r**2 - r + 12. Let c be a(0). Calculate the common denominator of p and c\/25*(-15)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(1331) + 2*(1 + sqrt(1331)) + sqrt(1331))**2 - 2*sqrt(1331)*-3).\nAnswer: 242*sqrt(11) + 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 - 17*j - 19. Let b be (2 - (-1 - -2)) + 1. Suppose -39 = b*d + d. List the prime factors of q(d).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*c - 51*c - 8 = 0. Let d(m) = -4*m**2 - 2*m. Let k(g) = g**3 + 21*g**2 + 11*g. Give c*k(l) - 11*d(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19013.\nAnswer: 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 7*i**2 + i - 5. Let d be v(7). Calculate the common denominator of 89\/2 and (d - 1)\/((-4)\/194).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 27, 2639 in increasing order.\nAnswer: 12, 27, 2639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -1632.412?\nAnswer: -816.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 6:42 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1)*(4*h**4 - 15*h**4 - 3*h**4) + 954*h**2 + 6 - 64*h**4 - 954*h**2 - 130*h**4.\nAnswer: -208*h**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 979 is divided by 190.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 88 - 64.5. Let g = -24 + m. Which is the third smallest value?  (a) 0.2  (b) g  (c) -2\/11  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 526811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10222200112 + 11?\nAnswer: -10222200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from oqvvqoqvvqvoqovqovqq?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 0. Let w = 4 + -3. Let o = 4 + w. What is the closest to 0.1 in 1, b, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 190683681 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/4  (b) -2\/5  (c) 57  (d) -2  (e) -87  (f) -1\/9  (g) 7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -2. Suppose -2*r + 15 = x*r. What is the second derivative of -3*k**2 + r*k + 5*k**2 + k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -11.57. Let w = -0.07 + x. Let h = 11 + -10.9. What is the nearest to h in -0.2, -2\/5, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) 4  (b) -0.07  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 7*s**2 - 5*s - 12. Let a be o(-4). Suppose h - 21 = -2*h. Calculate the highest common divisor of h and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -548 - -663. Suppose 2 = 3*v + 3*i - g, -3*i = 3. What is the remainder when v is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (160\/(-40))\/((-6)\/9). Solve -2*u = -2*r - t, 4*u + 0 + 12 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 0.8, 4 in descending order.\nAnswer: 4, 0.8, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 3*m - 5. Let w be u(2). List the prime factors of 224 + (-6 - (w - 7)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -14, -72, 8, 10 in ascending order.\nAnswer: -72, -14, -3, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -714 or -685?\nAnswer: -714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 1312204?\nAnswer: 1312144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/2703 + 6404\/1348797. Let h = u - 20463\/998. What is the common denominator of -49\/12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 1111 + 85 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = y - 16, 3*f + 4 = f - y. Let h(g) be the third derivative of 2*g**2 + 0*g + 0 - 1\/60*g**5 - 1\/6*g**3 - 1\/8*g**4. Calculate h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 12 = 0, 0*n = 2*c - 4*n - 90. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29832 and 136488?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -39*q. Let x(g) = 12*g. Give x(i(l)).\nAnswer: -468*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -23 - -35 - (7 - (-4 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + w + 12 = -4*w, 3*w + 6 = 0. Let o be s\/7 - (-1452)\/14. Suppose 0 = -5*i - t - 0*t + o, 3*t + 48 = 3*i. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.44236 minus 327998?\nAnswer: -328021.44236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60222, -120512, -180802, -241092, -301382, -361672?\nAnswer: -421962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 132, 265, 398, 531, 664, 797?\n\"Answer: 133*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 7*x + 5. Let j be i(4). Suppose -5*n + 0 = -m - 1, -5*m = -3*n - j. Solve -q - m = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -984*g + 145*g + 106040 = 1474*g - 385*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -34, -33, -32, -31, -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 + w + 6. Let g(t) = 5080*t**2 + 60*t + 360. Give g(c) - 60*m(c).\nAnswer: 5020*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 0.04  (c) -2  (d) -1  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(3\/(3\/2)). Is 4\/5 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.03326 and -4?\nAnswer: -0.13304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of h**4\/3 + 4*h**3\/3 + h. Factor w(x).\nAnswer: 4*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*i + 2)*(-4*i**4 + 2*i**4 + 3*i**4) + 102*i**5 + 420 - 420 + 3*i - 449 + 449 - 18*i**5.\nAnswer: 86*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10000110010011100011 (base 2) to base 14\nAnswer: -10469d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.8 - 5159.8.\nAnswer: -5184.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 45 = -q. Suppose 30 = q*d - 4*d. Let a be d*(2568\/9 - 2). Round a to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(1\/18)\/l)\/l*l*(l**(14\/9)*l*l)\/l)\/((l*(l**(-2\/49)\/l*l)\/l)\/(l**(-8)\/l)) assuming l is positive.\nAnswer: l**(-5599\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36954 + -21889. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/8469076 and -39\/4774.\nAnswer: 8469076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214753316?\nAnswer: 2, 17, 167, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 18. Suppose -2*d + o = 0, -2*b - 2*d - 18 = -7*d. What is the least common multiple of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**4 - 2*l**3 - 4*l**2 - 2*l**2 + 6*l**2 - 1 to d*l**4 + n*l**2 + k*l + c + o*l**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -100*r**2 - 1533 + 1533 + (-r - r + r)*(-r - 2*r + 2*r) - r**2 + 0*r**2 - r**2 - 2*r**2 + 4*r - 4*r + (-r**2 + 3 - 3)*(1 + 0 - 3).\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 11  (c) 640.8  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/120 + (-141)\/(-5). Suppose 0 = 2*a + a - 156. Let r = a - j. Solve -4*n = s + 3*s - r, 1 = s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 431467816.\nAnswer: 2, 13, 319133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 - -6. Let i = a - -53.99999958. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3326, 4, 11, -2, -3, 2 in ascending order.\nAnswer: -3326, -3, -2, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -r + 6041, -9*r - 2*t + 0*t = -54253. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -677.9 - -677. Which is the closest to 2?  (a) 0  (b) n  (c) 0.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, g: 4, u: 1, j: 4}. Give prob of sequence gjcu.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 5*w + 70. Let b be g(-14). Suppose -5*z + 35 = -b*z. What is the remainder when 10 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1320 (base 16) to base 11\nAnswer: -3751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12322 and 511363.\nAnswer: 1022726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*j - 2166 - 2147 = -4170 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-8)*(-216)\/(-8)*-2*(-40)\/(-10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 12:57 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(49)\/(sqrt(28)\/sqrt(4) + sqrt(7)))**2 + -3 + (sqrt(175))**2).\nAnswer: 3475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14549 + 117 = -16*t. Let q = 903 - t. Solve -n + q = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -2, 19, 2\/21 in increasing order.\nAnswer: -2, 2\/21, 1\/6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y. Let i be (-2)\/4 + 22\/4. Let u(d) = 2*d - 7. Let p be u(i). Let k(m) = 0*m + m - p*m. Calculate k(j(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -205.6 - -206.1. Let u = 18 - 26. Let i be ((-3)\/(-12))\/(6\/u). What is the smallest value in i, g, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 295686 is divided by 98555.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + h = 2. Let b = 5 - 4. What is the common denominator of -9\/11 and 46\/12 - h - b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10, -13, -6, 17, 62, 135, 242?\n\"Answer: h**3 - h**2 - 7*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12550 + -122525?\nAnswer: -105535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.079 - 0.379. Which is the second smallest value?  (a) f  (b) 2.3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -62, -174, -346, -584, -894?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 93 = -223. Suppose -4*o = u - 23. Let t = 21 + o. Let i(f) = f**3 - 7*f**2 - f + 2. Determine i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*p + 18*p - 305707997 = 3*a, -5*p + 5*a = 382135005. What is p rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(1377) - (-2*sqrt(51)\/sqrt(3) + sqrt(17)).\nAnswer: 3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 78\/(-9) + 1\/(-3). Let r(g) = -154 + 5*g - 6*g + 157. What is the lowest common multiple of 22 and r(o)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11613592?\nAnswer: 2, 31, 46829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034 is divided by 534?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 4, 3, -0.16841, 0.2 in descending order.\nAnswer: 5, 4, 3, 1, 0.2, -0.16841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 5*w**5\/2 + 559*w**4\/6 - 53761*w**3\/3 - 178156*w**2\/3 - 14560*w = 0.\nAnswer: -104, -3, -4\/15, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 381 and 9?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dwnyrwl. What is prob of sequence wnyw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**15*k*k**1\/k)\/(k\/(k\/(k\/(k\/k**(-3)))))**(-5\/11))**(4\/19))**32 assuming k is positive.\nAnswer: k**(20608\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.125 and 5.3037.\nAnswer: -0.6629625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*d = -1525309 - 3492137. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1*-14*((-63)\/6 - -7) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*q + 3320 = 3813 + 13423. Calculate the remainder when q is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 186, 304, 434, 576?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -0*b + 4. Calculate the remainder when b is divided by (0 + -1 + -2)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 38685547897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -82.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 156 = 7*x. Suppose -2*r = -7*r + 305. Let c = r - 35. What is the highest common divisor of c and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 972.9973t to grams.\nAnswer: 972997300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 9*z**2 + 7*z + 5. Let q be h(8). Suppose 2*y - 37 = -5*v, 5*y + 2 = 7*y. Let p = q + v. Solve -25 = p*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78, -150, -224, -300, -378, -458?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 6*j**2 + j - 1. Let k be (-104)\/(-18) - (-2)\/9. Calculate the remainder when r(k) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 7:24 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(-6)\/(-36)*(-12)\/114?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 t, and 1 a when three letters picked without replacement from obaablbbtolblab?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -48*f - 2157. Calculate q(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**2\/2 + 375*w - 33813\/2 = 0. Calculate w.\nAnswer: -289, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 3:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 1\/(3\/(-6)). Let a be -1 + (1 - (-2 - d)). Suppose 592 + 3293 = -3*o + 5*r, 0 = -a*o + 5*r - 2585. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 408*y + 379*y + 386*y - 1168*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u - 18*u = 18*u - 1037232. Is 46 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -9. Let h be (0 + k)\/((-24)\/(-32)). Calculate the common denominator of 49\/18 and 1\/h*(6 + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*o**3)*(-3*o + 2*o + 2*o) + 1 + 6 + 2*o**4 - o**4 + (o**2 + 3 - 3)*(o - 8*o**2 - o).\nAnswer: -9*o**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.61771117 rounded to one decimal place?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, m: 5, j: 4, c: 1}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64501?\nAnswer: 53, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 12*w**2 + 13*w - 15. What is the remainder when 20 is divided by l(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -212541330 + -113?\nAnswer: -212541443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3162 and 74240412.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 0)\/(1\/3). Suppose -3*b + 2*l + v*l + 30 = 0, -5*l = b + 10. Let d be (((-14)\/7)\/(4\/(-6)))\/3. Solve -b*w + 21 = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ddvjyydddzzdz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 106*h - 28982. Calculate q(-126).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1031 times -0.274424\nAnswer: -282.931144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 6*n**2 - 3*n + 14. Let x be w(-6). Let l = 200 + -120. Calculate the greatest common divisor of x and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (0 + 2 + -3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 3, q: 2, j: 5, b: 3}. Give prob of sequence bq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.019 + -0.019. What is the nearest to 0.1 in i, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + k. Let b(d) = -d**2 - 2*d. Suppose -15*i + 7*i = 40. Give i*b(h) - 10*g(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 10*z**2 - 15*z - 8. Let t be r(7). What is the highest common divisor of 153 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 50 + c?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -242*g**3 + 57*g + 1.\nAnswer: -1452*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(4\/3))**(-1))**(-2\/45) assuming g is positive.\nAnswer: g**(8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggxxrkn. What is prob of sequence nr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1813 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 3*k - 8, -3*k + 713*t - 710*t = -15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (339\/(-9) - (-1)\/(-3)). Let q be (-18)\/t - 15\/38. Sort -1, 1\/6, q in decreasing order.\nAnswer: 1\/6, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 306, 305, 304, 303, 302, 301?\n\"Answer: -f + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of j**4\/4 + j**3 - 13*j**2\/2 + 29*j - 25. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 7 = -8. Let k be 24\/(-4)*s\/18. Let b(y) be the first derivative of -y**2 + 2*y + 1. Let w(m) = 2*m - 2. Give k*w(o) + 6*b(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s - 32. Let c(a) = 3*a**2 - 20*a. Let t be c(6). Give p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from zbbnzgzwbzwgbz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -426 - -494. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (10 + -91)) + (10 - 1) + (10 - 8)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 - 1)*(-14*m - 8*m - 8*m)*((7 - 4 - 2)*(7 - 3 - 2)*(0 - 1 - 1) + (-4 - 1 + 3)*(2 + 1 - 2)) as f*m + z and give f.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 43*v - 37*v. Calculate the greatest common factor of v and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k + 30 - 30 + 232414*k**2 + 87497*k**2.\nAnswer: 319911*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/1706 - 78479\/5118. What is the common denominator of x and 18\/43?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64 - 63. Which is the smallest value?  (a) -5  (b) h  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 380 or 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1465?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2197*j + 2927 wrt j?\nAnswer: 2197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6305\/150)\/(-13)*(-1 - -2) and 31\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 189148\/5 + -37830. What is the closest to -176 in k, 0, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d**2 + 10*d + 7*d - 16*d**2. Let a(y) = 40*y**2 - 50*y. Let s(f) = 3*a(f) + 8*u(f). What is the second derivative of s(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -33*q - 1. Let w be f(2). Let s = 111 + w. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -1\/2*a**2 + 1\/6*a**4 - 1\/3*a**3 - 6*a + 0. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*a + a, r - 2 = 4*a. Suppose x + r = -2. List the prime factors of ((-36)\/(-10))\/(x\/(-80)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 446 + -445. Let x be ((-5)\/35)\/g + 1002405\/35. What is x rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-99)\/(-11) + -6)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a**3 + 2*a**3 - 18*a**2 + 191*a**2.\nAnswer: 2*a**3 + 173*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/i**(-29))*i**37)**31 assuming i is positive.\nAnswer: i**248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12442 is divided by 82.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 447 - 378. What is the remainder when i is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4893507 to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-5)*10\/(-20))\/((-18)\/12960*-18)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 504 + 2\/7*d**2 - 24*d.\nAnswer: 2*(d - 42)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 546, 3\/34, 3, 1\/5 in ascending order.\nAnswer: 3\/34, 1\/5, 3, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 670753.9 millilitres in litres?\nAnswer: 670.7539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 62*l**2 - 124*l - 248. Calculate z(64).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-20))\/((-2)\/(-24)*2)*66625\/(-13325)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.445188384 rounded to three decimal places?\nAnswer: 3.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, o: 5, p: 2, s: 1, g: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 273 = -4*y - 324, -252*y - 4783 = -l for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8041 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-15)*a*a\/((a**(-4\/7)\/a)\/a)*a\/((a*(a**(-26)\/a)\/a)\/a)*a\/((a\/(a\/a**(7\/5)))\/a))**(29\/2) assuming a is positive.\nAnswer: a**(10237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -759.8?\nAnswer: 755.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * -12895994.\nAnswer: 10316795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 115195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1890.6 * -0.2\nAnswer: 378.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 3*n**2 + 0*n**5 + 0*n**3 + 4*n + 0*n**4 + 0 + 2\/15*n**6. What is the first derivative of h(g) wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 5 - (-17 - -8)) + 9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -14527512 divided by -24\nAnswer: 605313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 7. Let m(h) be the third derivative of 0*h + 1\/420*h**7 + 0*h**4 + 0 + 0*h**3 + 1\/240*h**z + 2*h**2 + 0*h**5. Factor m(y).\nAnswer: y**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1536)*2)\/(sqrt(12) - sqrt(24)\/(sqrt(2)*2)) + -5*((sqrt(128) + -1)*3 + (sqrt(128) - (sqrt(128) - 3*(1*sqrt(128) - sqrt(128))))))**2.\nAnswer: -1680*sqrt(2) + 6497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + d = -4. Calculate the remainder when d\/9 + (-317)\/(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*t**2 + t**3 - t**3 - 26 - 403*t**4 - 3815*t**4 wrt t.\nAnswer: -101232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*g - 31*g + 15*g + 7*g - 1257 + 8*g to m + c*g and give m.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 118537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 8*q**2 - 48*q + 4. Let x be w(12). Suppose 2030 = 5*n - 2*v, -3*n + x*v + 1109 + 123 = 0. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5*c + 2*q - 18, 0 = 3*c + 3*q - 12. Let j(w) = w**c + 2*w - 2*w + 0*w**2. Let r(x) = -6*x**2. Let s = 5 + 29. What is s*j(m) + 6*r(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.06, -1\/23, -34\/31, 89\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(242\/(-847))\/((-4)\/49)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2457)\/819)\/((99\/441)\/11)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l - 66970. Let p(w) = 928*w. Determine g(p(y)).\nAnswer: 928*y - 66970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66932 is divided by 149.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 4*a + 494*a**2 - 484*a**2 - 6 in the form k*a**2 + o + q*a and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is efbc (base 16) in base 2?\nAnswer: 1110111110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 60476167*k**2 - 34601335 wrt k.\nAnswer: 120952334*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of 0*x - 4\/3*x**3 + 0*x**2 + 11. Let l(h) = 2*h + h - h. Calculate l(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-30))\/((-24)\/(-60))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/1*0\/(-1). Suppose 74 = 2*n - r*n. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.293 + -0.263. Which is the closest to -0.2?  (a) u  (b) 1\/2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*m**5 + m**5 - 5*m**5 + (2*m**3 + 2*m**4 - 2*m**3)*(2*m - 3*m - m) - 4*m**5 + 0*m**5 + m**5 - m**5 + 2*m**5 + 2*m**5.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 34893.65 millimeters in kilometers?\nAnswer: 0.03489365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -22300 (base 4) in base 15?\nAnswer: -30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*o - 9, -9*o = h - 6*o. Let m = 2061\/44 + -195\/4. Is m bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**3*p**4 - 2995*g**3 + 2*g**2*p + 166*g*p**2 + 243*p**3 + 2*p - 6 wrt p.\nAnswer: 48*g**3*p**2 + 332*g + 1458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 6, k: 6}. Give prob of picking 2 k and 1 o.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4, m: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39013997.\nAnswer: 11, 17, 208631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 22012?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/14 - (-108)\/7. Solve -o = -2*y + 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 - (180 + -83 - 68)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/26*26\/(-13).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -156\/7*h + 156\/7*h**3 - 302\/7*h**2 - 2\/7*h**4 + 304\/7 = 0. Calculate h.\nAnswer: -1, 1, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**8\/84 - 2*a**7\/5 - 4*a**6 - 20*a**5\/3 + 9*a**2. Factor y(c).\nAnswer: -4*c**2*(c + 1)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-62)\/30 + ((-228)\/(-95))\/6 - -3. Which is the closest to -1?  (a) 0.07  (b) 0.01  (c) 0.5  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -129, -189?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**2. Let p(t) = 2806258*t. Calculate h(p(m)).\nAnswer: 23625251887692*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 65229.41 nanograms?\nAnswer: 0.00000000006522941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 + -49 - -105 - (-1 + 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 28*u**2 + 49*u - 39. Let n be q(26). Let z = -231\/2 - n. Factor 2*c - 1\/2*c**2 - z.\nAnswer: -(c - 3)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = -14 - 2. Suppose r*m - 4*m - v - 8 = 0, -5*v - 30 = 5*m. Which is the second smallest value?  (a) m  (b) 9  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c**3 - 19*c**2 - 13*c - 22. Give h(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -6*p**2 - 11\/12*p**4 + 5*p + 0 + 0*p**3. What is the derivative of f(d) wrt d?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 313 = -907. Suppose -2*z - q = -3*f + 3*z, -f = 3*z - 83. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5339797*w**3 - 4*w + 4*w - 5339796*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from wwwewbebeeewwebbweew?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of 3*y**2 + 7*y - 69. Let q(t) = -13*t - 15. Give 9*b(j) + 4*q(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74, 705, 2436, 5819, 11406, 19749, 31400, 46911?\nAnswer: 66834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5934*k**2 - 9*k + 209.\nAnswer: 11868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61623, 61638, 61637, 61620?\nAnswer: 61587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 231 and 10*5\/75 + 9232\/12?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 8 + 4 - 18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30237\/7 - 4305. Is 16 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/2 - (-27)\/6. Let c(w) = w - 5. Let l be c(f). Suppose -32 = 5*g + s + 2*s, 4*s - 4 = 5*g. What is the nearest to 2\/5 in l, g, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 226.8696?\nAnswer: 227.8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -14*c - 2. Let u be j(2). Let b = 33 + u. Let o(y) = 2*y**2 + 3. What are the prime factors of o(b)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -17 - 15. Suppose 2*j + 1 = -5*f, 3*j - j - f = 17. Let v be (1 - -3)*j\/28. Calculate the highest common factor of v and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 92*y = 89*y + 6997, 0 = 5*s + 2*y - 6993. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5332663?\nAnswer: 7, 761809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1859036 is divided by 8221?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -9*y**2 + 354*y - 3170. Determine z(29).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.1. Let k = 0.1 - -3.9. Let h = 862\/5 + -173. Which is the closest to -1\/3?  (a) z  (b) h  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - ((-180)\/(-15) + -9 + 30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lhhccfchfhhhftclch. Give prob of sequence tf.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185600 = -26599*i + 26589*i. Is i a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 758.8461 less than 208?\nAnswer: -550.8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - (-3 - -1)*1. Let h(v) be the third derivative of v**5\/60 + 5*v**3\/6 + 3*v**2. What are the prime factors of h(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 468 + -468. Which is greater: t or 1\/73?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -12. Suppose 0 = o*a - 298 + 1066. Calculate the common denominator of -24\/7 and a\/(-264)*3\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2*(sqrt(539) + 0) + -2)*5)**2 + -5.\nAnswer: -8400*sqrt(11) + 323995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*z - 16828 - 9582. Let j = -362 + z. What is the remainder when j is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -362*i - 728. Determine r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 58*k - 33. What is b(59)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 209.7535 years?\nAnswer: 2517.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25184 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 58*o**2 - 27 + 27. Is 16 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62315 divided by 605.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -125.9 + 132. Let l = y - 6.0858. Round l to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 4\/3, -1, 0.4, 11\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2851787, -5703641, -8555495, -11407349?\nAnswer: -14259203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-1\/32)*c*c*c**(-1\/16))\/((c*c*((c**8*c)\/c)\/c)\/c)**(11\/3) assuming c is positive.\nAnswer: c**(-2531\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101010101 + -101001011?\nAnswer: -1010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*x**4 + 2*x**4 - 2*x**4)*(4*x - 3*x - 2*x - x - 2*x + 2*x + (1 - 5 + 5)*(-x - x + 0*x)) + x**4 - x**4 + x**5.\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 225909903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.65 and 17?\nAnswer: 17.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -4*j - 2*c, 5*j - 5*c - 23 - 57 = 0. 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 tens digit of 235071845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 4*o + 177. Let x(l) = l**3 - 6*l**2 - 6*l. Let p be x(7). Suppose p*c - o = 4954. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -626 + 874. What is the biggest value in -2\/7, 4, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in 21442, 1\/10, -0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -147\/8 in 0.4, 3\/5, -4\/7, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 0, -87537, 4 in descending order.\nAnswer: 4, 3, 0, -5, -87537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**2 + g**3 + 21*g - 21*g - 1 - 8*g**2 - 2 to q*g + l*g**3 + j + c*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-176)\/(-12) - -6) + -15)\/(1\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/5, -0.1, -0.25, -1\/365, -0.3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2631\/17 or 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2237, 3844, 5451, 7058, 8665?\nAnswer: 10272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 919 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**3 - 1447800*h**2 - 28956938*h + 99900960 = 0.\nAnswer: -23, 3, 723920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 191 - -155. List the prime factors of o.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 6*s + 30. Suppose -1 = -s*w + 19. Suppose 16 + 14 = 3*p. Solve -p = 3*o + w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 16724 = -33187 - 89097. List the prime factors of g.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -4*m**2. Let z(n) = -3*n**2. Let s be 8\/6*171\/38. Suppose 3*i = i - s. Let d(o) = i*f(o) + 3*z(o). Let x(v) = v. What is x(d(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4052  (b) -6  (c) 0  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 7. Suppose 18*y - 280 = 278. Suppose -o - y = -38. Solve -h*b - 17 = -u, -b = -2*b + 4*u + o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11132 + 11145. Solve 18*i - f*i = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + (-6808)\/1380)\/(2\/(-12))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13759348289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -e (base 15) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 11:43 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -7545*w + 10994. Is b(-61) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38398152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 31246 = 3*w + 6770, -3*r + 38015 = -4*w. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 3)*(-2*f**2 + 3*f**2 - 3*f**2) + 48*f**2 - 40*f**2 - 73*f**2.\nAnswer: -67*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 37*y**2 - 4*y - 33. Let n(s) = 45*s**2 - 6*s - 34. What is 5*c(r) - 4*n(r)?\nAnswer: 5*r**2 + 4*r - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 135, 111, 2 in descending order.\nAnswer: 135, 111, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 648*i**2 - 2 - 638*i**2 + 2 to q*i**2 + w + l*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 5*i**4\/4 + 5*i**3\/3 - 5*i**2 + 13. Solve h(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3000476 + -3000767.8894. Let n = -292 - c. Let r = n - -0.11. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -15. Which is bigger: o or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.22310907 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14.62 - 14. Round l to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-10)\/(-10))\/((-102)\/17)*-27*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 74217876 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - m - 20. Is 3 a factor of y(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*t**2 - 651*t**2 + 73*t**2.\nAnswer: -740*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y + 1 - 4 = -7*y, 8*i - 5*y = -3*y + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 5:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 750.5826km?\nAnswer: 750582600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18999486 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14933?\nAnswer: 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t + 43*z + 39 = 44*z - 4, 0 = z + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s - 2. Let o be x(5). Let v = o - -14. Solve -4 = -3*m + v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h + 3*h + 469*h**2 + 63 - 62 - 2*h**3 - 553*h**2 as f + a*h + t*h**2 + g*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6072 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 97528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, q: 1, w: 2, l: 1, y: 4, m: 6}. Give prob of sequence lyw.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1315795?\nAnswer: 5, 13, 31, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*c + 5. Let x(b) = 4*b + 1. Let k be x(1). Solve -10 = -k*z - c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**3 - 2*o**3 - 3*o**3 + (37 - 504 - 10)*(3*o**3 - 3*o**3 + 2*o**3) as v*o**3 + u*o + j*o**2 + i and give v.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4400302 is divided by 624?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 11  (c) -9  (d) 4  (e) 3  (f) 19\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 37438.09l in millilitres?\nAnswer: 37438090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18925828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/7*l**2 - 198\/7 + 39\/7*l = 0 for l.\nAnswer: 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*21\/(-140))\/((-11)\/110).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2, -27, -76, -145, -234, -343?\n\"Answer: -10*o**2 + o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 171, 1327, 4463, 10569, 20635, 35651?\nAnswer: 56607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 - 10*g**4 - 2*g**3 - 2*g + 11 to the form o*g**3 + b*g**2 + x*g + y*g**4 + h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -7*l + 3*l + 6*l + 0*l. Let k(g) = 7628*g. Calculate y(k(d)).\nAnswer: 15256*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (-10 - -4)\/6)*10\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 5*x**3 + 225*x**2 - 230*x + 20. Let u(g) = 59*g**2 - 22*g - 27*g**2 - 11*g + g**3 + 3. Let b(p) = 3*r(p) - 20*u(p). Suppose b(f) = 0. Calculate f.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77961031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 19*z**2 + 4*z + 8. Let j be r(-6). Let p = j + -127. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -53*m**2 - 2*m + 1305. Calculate the remainder when j(0) is divided by 1303.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-1*(((sqrt(30) - sqrt(90)\/sqrt(3))*3)\/(-3*sqrt(20)\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4471853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.5 - 5. Let d = -0.2 - -0.5. Put -3, d, j in descending order.\nAnswer: d, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 298?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -395, -1558, -3933, -7946, -14023?\nAnswer: -22590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*r + 0*r - 183*r**3 + 185*r**3 - 1 to t*r + w*r**2 + h*r**3 + b and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13142, 13171, 13200?\nAnswer: 13229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -164 - -62?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -9*u**2 - 5*u - 3. Let c(j) = -8*j**2 - 4*j - 2. Let k(g) = -g**2 - 7*g - 9. Let a be k(-4). Let y(l) = a*c(l) - 2*w(l). Factor y(f).\nAnswer: -2*f*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + (-2 - -1))\/((-1)\/7855). Suppose 3*r - 3941 = 2*u - 0*u, -4*u - a = 3*r. Let s = u - -3623. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000314745529 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86490693.\nAnswer: 3, 3203359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-51)\/(-4) - 42\/56. Suppose -l + 2*b = 5, -19 = -5*l + 4*b - 5*b. Suppose 0 = 2*g + 4*v - 14, g + 3*v = c - l. Solve -7*f - 8 = -g*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.5635581 nanoseconds in weeks?\nAnswer: 0.00000000000003565403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -150\/409, -17\/4, 5, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -675*z = -1334*z + 668*z - 8568. Calculate the remainder when z is divided by 138.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 2*f + 110, 5*f = -7 + 32. Let k be 122\/4 - (-3)\/6. Suppose -h + l = -k. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(224)\/sqrt(4))\/(sqrt(800)*2 + sqrt(800) + sqrt(800)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 9, y: 1, u: 2, g: 3, i: 4}. What is prob of picking 3 q?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 9. What is the least common multiple of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x + 54 = -2*w + 5*w + 37*x - 19*x, -417 = -9*w - 26*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1714299093 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/9 + 4519753*l\/9 + 6026332\/3 = 0 for l.\nAnswer: -4519749, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 47466 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: Let q(u) = u - 6. Let n be q(6). Solve n = -5*m + 3*x, 2*x - 5*x = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/10*-4)\/2 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 789 divide 793913933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 10:52 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3074, 6150, 9226, 12302, 15378?\nAnswer: 18454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - -17 - 15\/16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 1944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -0*z + 4. Suppose c - 4*w + 24 = 0, -z*c + w + 0*w = 21. Calculate the remainder when ((-42)\/35)\/(c\/210) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31721358 a multiple of 4773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -2. Suppose -3*i + i + 6 = r. Let s(f) = i*f + f - 6*f. Let d(t) = 3*t**2. Give d(s(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -111*o + 74*o + 58*o + o + 2*o - 4*o - 3*o + o + 0*o + 0 + 0 + 2*o + (0 + 2 - 3)*(-2*o + 3*o - 3*o) + 3 - o - 3 - 2*o + o + 3*o + 2*o - o + o.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3710.81 millennia to decades.\nAnswer: 371081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 1989*m = 1996*m - 114, -5*i + 4 = -m - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (14\/10)\/1 - (-52)\/(-130). What is the highest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 + -121 + (-138 - -288).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -451 + -15154152?\nAnswer: -15155043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/(-36)*(-750)\/(-20)*52\/65.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*c**2 + 115503*c - 3019302.\nAnswer: 3*(c - 26)*(8*c + 38709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.6 smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - q**2 + q - 1. Let w be (1\/1*1)\/(-1). Let a(r) = 7*r**3 - 11*r**2 + 7*r - 2. Let m(i) = w*a(i) + 6*l(i). Give m(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1146)\/(-191)*(686\/(-12))\/(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163001.\nAnswer: 19, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 1 + (-7 - -3) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45 + 48. Let p(a) be the first derivative of -1\/3*a**d + 4 - 3*a**2 + 0*a. What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4346 and 259899.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72 - 12 + 16)*(-m - 2*m - m + (-2*m + 3 - 3)*(5 - 1 - 3)).\nAnswer: 408*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/9)*p\/p**(2\/45))**(-1\/3) assuming p is positive.\nAnswer: p**(-11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4538.54+-39.3\nAnswer: 4499.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -3*j**5\/140 - 3*j**4\/28 + 2*j**3\/7 - 3*j. Suppose a(d) = 0. What is d?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (31 - 15 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 9*t**5\/20 + 2*t**3\/3 - t**2 + 142*t. Let q(z) = -8*z**3 - 5*z + 3. Calculate -3*c(w) - 2*q(w).\nAnswer: -11*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k**2 - 12*k. Let n(h) = -8*h - 1. Give n(m(g)).\nAnswer: 48*g**2 + 96*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 663313.\nAnswer: 7, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27858795.\nAnswer: 3, 5, 541, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*s - 30*s + 2120000. What is s rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuubuuuub. Give prob of picking 2 u and 1 b.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70148961, -70148962, -70148965, -70148970, -70148977, -70148986, -70148997?\nAnswer: -70149010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15111?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of l**7\/42 + 29*l**6\/24 + 89*l**5\/12 - 1345*l**4\/24 + 125*l**3 + l**2 + 4332*l. Factor x(r).\nAnswer: 5*(r - 1)**2*(r + 6)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -19*v + 94 - 72, v - 2*b = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5 + 0*x**3 + 0*x**3 - 17*x + 19*x**4 - 64 - 2969*x**2 + 2967*x**2 - 29*x**5 wrt x.\nAnswer: -1740*x**2 + 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -8.02. Let q = -0.02 - n. Let z = -4 + q. Which is the second smallest value?  (a) z  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01800477 rounded to 4 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + 20 + -4 - 0 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-3)*6\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 4:53 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/4 - 2\/(-8). Let k = 225 - 214. What is the highest common factor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minus -1068?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2 = -b - 5, 5*l + 37 = 4*b. Suppose n = 4*n - b*y + 411, 5*n + 701 = y. Let a = -85 - n. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(50) + sqrt(100)\/sqrt(2))\/sqrt(5) - sqrt(10) - sqrt(10))\/((sqrt(30)*-1)\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1240326)\/(-2676)*(-4)\/(-450)*25.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/8272050 and -43\/950.\nAnswer: 157168950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 26704*s**2. Let t(y) = 60*y. Determine r(t(j)).\nAnswer: 96134400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 4:05 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3327780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 9066  (b) 0.5  (c) 2  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z**2 - 6*z + 5. Is k(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -143*y + 139*y - 7, 4*t = 2*y + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*x**3 - 572*x**2 - 568*x = 0. What is x?\nAnswer: -142, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13217 - 123?\nAnswer: -13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269651.\nAnswer: 269651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 47823, 47542, 47067, 46392, 45511, 44418?\n\"Answer: -r**3 - 91*r**2 - r + 47916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 30926 divided by 1750\nAnswer: 2209\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179 = -22*z - 102 - 115. Let n = 3 - 5. Which is the second smallest value?  (a) -0.4  (b) z  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.925817l to millilitres.\nAnswer: 8925.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2 - 105*x - 158. Let c be f(54). Solve 2*d + 10 = 5*b + 3, 4*b = -c*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 318677788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2801871 + 22113*t + 2801871 as b + y*t and give y.\nAnswer: 22113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3049212473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2492 and 9005206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-17))**(-35))**11 assuming p is positive.\nAnswer: p**6545","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3325)\/14 - (1 + (-9)\/6). Let m = -235 - g. Let d(x) = -2*x**2 - 2*x + 2. Calculate d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -34091*h + 861. What is the tens digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 - -23 - (-13 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**4\/2 + 787*r**3\/3 + 5212*r**2\/3 - 12803*r\/3 + 4533\/2 = 0. Calculate r.\nAnswer: -1511\/9, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*k**4 - 376*k**2 + 10*k - 2 wrt k?\nAnswer: 60*k**2 - 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52385?\nAnswer: 5, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1133 - 32?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -6*d**5\/5 + 5*d**2\/2 + 8. Find the second derivative of u(i) wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -5*b**4 - 50*b**3 - 115*b**2 - 70*b = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 435781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-25)\/10 + 4)*4. Let l be 3\/(-21) + (-132)\/(-42). Let w = l - m. Which is the third biggest value?  (a) w  (b) -0.3  (c) 0  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*f**2 + 2*f**2 + 2*f**2)*(f - 2 + 2)*(5 - 1 - 7).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001247838 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2345868400281 - 27?\nAnswer: -2345868400308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -11  (c) 294075  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3903, 8138, 12377, 16620, 20867?\n\"Answer: 2*f**2 + 4229*f - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 3. Calculate x(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3693862, 3693870, 3693882, 3693898?\nAnswer: 3693918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 613 - -302. Let k = 10 - 4. Suppose -k*j + l = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 129*k**2 + 33*k - 129. Let r(l) = -8*l**2 - 2*l + 8. Suppose 28 = j - 5. Let y(x) = j*r(x) + 2*u(x). Find the first derivative of y(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4083 + 645658*m - 1476 - 645656*m.\nAnswer: 2*m + 2607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + 0.1. Let u = -0.2 - n. Let f = -433\/70 - -234\/35. Which is the nearest to 0.2?  (a) 1\/8  (b) f  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 381751 and 83799?\nAnswer: 3435759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1552859, -1552858, -1552857, -1552856, -1552855?\nAnswer: -1552854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 30 = -5*i, -125*i - 22 = -3*a - 121*i for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3837365 is divided by 1226?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.8 + -95.25. Let r = h + 0.55. Let p = r + 94. What is p rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9167.\nAnswer: 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44520 = -2*x + 44528 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*h + 7*h - 5658 = -163*h. Let z = 296 - 63. Let m = -144 + z. Calculate the remainder when m is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v + 8 = 0. Suppose 26 = v*j + 6. Let s(p) = p + 2*p - j - 6*p. Let x(r) = -10*r - 16. Give -16*s(k) + 5*x(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 5*a**4\/12 - 4*a**2. What is the remainder when u(2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/720 and (-9243)\/(-2730)*(-7)\/(-54).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95.634*82\nAnswer: 7841.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*r + 93 = -36*r. What is the closest to 0.1 in r, 124, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((16\/30)\/((-56)\/140))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 5680340?\nAnswer: -1\/1420085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from {f: 1, b: 2, z: 2, l: 2, g: 1, h: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(20)*-4 + (sqrt(405) - (sqrt(405)*1 + 2 + sqrt(405))).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njjncf. What is prob of picking 1 n and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.4705 times 0.1\nAnswer: 0.04705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/3*(-783)\/(-18). Let f = a + -33. Sort 0.2, 3\/5, f in descending order.\nAnswer: 3\/5, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(3\/(-24)*4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (13\/(91\/21) - 5)*-1. Solve b*c + a = c - 2, 5*a + 18 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 709, 828, 1033, 1330, 1725, 2224?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 320*m**4 - 196*m**2 - m + 1339402?\nAnswer: 3840*m**2 - 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29622581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -q, -3*b + 0*b - 23 = -2*q. Let g(y) = y**2 + 7*y - 4. Let u be g(b). Let i = 26 - u. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 6*m + 39 = 0, -m - 54 = 112*i - 107*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3 - p**2 - 2 - 3*p + 6. Let d(h) be the third derivative of h**5\/60 + h**4\/6 - 4*h**3\/3 - h**2 + 55*h. Determine -5*d(r) - 6*s(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*a + 381*a - 226*a.\nAnswer: 214*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1233.360231 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 837*a = 845*a + 28296. Let v = -11 - -18. Is (-6)\/21 - a\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**3\/3 + 7*z**2\/2 - 13*z - 3. Let b = -11 + 2. Let y be q(b). Solve 0*i - 8 = 5*u - 2*i, y*u - 4*i = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09, -0.06, 50, 5, -2\/7, -19.\nAnswer: -19, -2\/7, -0.09, -0.06, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 10 = 2*d. Let j(y) = 6*y**3 - y + 1. What is the remainder when d is divided by j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/14)\/(15\/105). Let v be ((-4)\/3)\/(x\/90). What is the second derivative of 12*r - 9*r + v*r + r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 11:40 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**5 - d**4 - 2*d. Let n(y) = 2*y**5 - 20*y**4 + 95*y**3 - 5*y**2 - 398*y + 324. Let b(q) = -3*h(q) + 3*n(q). Suppose b(f) = 0. What is f?\nAnswer: -2, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 8, 2, 2\/7, -2.9, 0.11 in descending order.\nAnswer: 8, 2, 2\/7, 0.11, -0.5, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 - u. Let b = -104 - -168. Suppose 33*p - b = 25*p. Calculate the smallest common multiple of l(1) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*v + 19*v - 32 - 44*v)*(-4 + 4 - 2*v).\nAnswer: -4*v**2 + 64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m**5\/60 + 5*m**4\/24 + m**3 + 2. Let v(p) be the third derivative of i(p). Let o(q) = -4*q - 11. What is -4*o(g) - 9*v(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -153*p - 248. Is 61 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 6*v - 16. Let d be t(8). Solve -4*k + 4*l - 4 = d, 0*k + 2*k + 2*l = -18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + (-4)\/(20\/(-95)). Let v be ((-4)\/45)\/((-6)\/r). Which is bigger: -0.2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2691086 divided by -1345543\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = i - 12. Suppose g = -5*p + 60, -4*g + 3*g = -5*p + 60. Calculate the least common multiple of i and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*q + q + 0*q)*(0 + 0 - 4)*(2*q - 2*q + 2*q)*(3*q - 5*q - q) as y*q**3 + l*q + n + k*q**2 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 times 0.5?\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 13, 2, -13, -32, -55?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2 - 32085*d + 545156.\nAnswer: (d - 32068)*(d - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, x: 4, d: 1, c: 3, h: 2, q: 2}. Give prob of picking 2 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.6 + -53.4. Let m = x - -50. Let f(r) = -r**3 + 4*r**2 - r + 3. Let s be f(4). Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10899958 divided by -16873?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/4  (b) 2\/13  (c) 10\/7  (d) -291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -2*sqrt(363) + 2)*-3)**2 + -2*(sqrt(54)\/sqrt(3)*1)\/(3*sqrt(24)).\nAnswer: -3565*sqrt(3)\/3 + 13149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 41515751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (0 - 0)) + (-1 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 1)*(-217*j + 311*j - 91*j + 1801) - j - 7*j + 3*j + 2*j.\nAnswer: -9*j - 3602","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u*w**3 - 2*u*w**2 - 2*u*w + u + 1792*w**5 + 4*w**4 - 52*w**3 + 641*w**2 + 2 wrt w.\nAnswer: 6*u + 107520*w**2 + 96*w - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 11 = 5*p. Let h = -0.1 + 0.66. Let c = 1.44 + h. What is the second biggest value in -2, c, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2101764 or -2101702?\nAnswer: -2101702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 417 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.185422l in millilitres?\nAnswer: 5185.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 467 - 460 - (-1 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 27*r - 25*r = -4, -23 = -2*v - r. Calculate the highest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.07  (b) 0  (c) 0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 18*f**3 + 3*f**2 - f - 1. Let u be d(1). Let w be (0 - -4)*(u + -8)\/11. Solve -w*j = -5*c - 36, 3*j = 2*c + 9 + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*f*l**3 - 395*f*l*m - 2*f*l + 2*f*m - l**3*m - 2*l**2*m - 5334*l*m wrt f?\nAnswer: -4*l**3 - 395*l*m - 2*l + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30733 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: Two letters picked without replacement from {e: 1, f: 2, g: 2}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -920 - 55 = -325*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50*d**3 + 230260*d**2 - 184232*d + 36848.\nAnswer: 2*(d + 4606)*(5*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*a - t = -43*a + 21*a - 11, -11*t = 16*a - 103 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/9 + 0 + 76\/18. Suppose -4*k + 5*y + 82 + 114 = 0, 0 = -5*k - y + 274. Suppose b*u - k = 6. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-8)\/(-28) + (-5)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -24*t + 11*t**4 + 24*t + (-10*t**2 + 10*t**2 - 4*t**3)*(-6*t + 3*t + 4*t) + 6*t**4 - 3*t**2 + 3*t**2 + 0*t**4 + 3*t**2 + t**4 - 4*t**2.\nAnswer: 14*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*n + 1 + (0 - 4 + 2)*(2*n + 2*n - 3*n))*(-5 - 8 - 79*n + 77*n).\nAnswer: 8*n**2 + 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -c**5\/5 - 11*c**4\/12 - 11*c**2\/2 + 2*c - 2. Let x(y) = y**3 + 2*y**2 + 2. What is -2*i(l) - 11*x(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 1365931?\nAnswer: -4\/1365931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 11:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 7. Suppose 0 = -a*y + y. Solve 3*c - 15 = -3*b, 4*c + 2*b - 10 = -y*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (16\/12*-6)\/(1\/(-2)). Suppose 0 = -o + 5*g + 21, 0 = -2*o + 3*o + 4*g + 15. Suppose n = v + o. Solve -4*i - 5*x - 13 = 0, -i = -x - v + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 4*s + 9. Let i(f) = f - 1. Let j(a) = 6*i(a) + u(a). Let r be j(-5). Let n = 0 + r. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -362, -380, -412, -464, -542, -652, -800?\n\"Answer: -n**3 - n**2 - 8*n - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g + 31. Let q be d(0). Let v be 99820\/8050*(7 + -1)\/((-4)\/(-10)). What is the highest common divisor of v and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -547 - -552. Suppose 21 = h*l - b - 9, 3*b = -4*l + 43. Let f be 2 + (-2 - -1) - -17. Solve 5*s - f = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 28. Let c = w - -15.5. Sort -2, -1\/6, c in decreasing order.\nAnswer: c, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31321 + 23232?\nAnswer: 121213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*j + 268, 4*j + 2*n = -77 + 345. Suppose 4*w = p + j, 11 = 2*w - 12*p + 7*p. Solve 24*a - 30 = w*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 2:17 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.2  (b) -1\/4  (c) 5  (d) -150  (e) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -2 - (1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -16, 2\/13, -0.1, -28, -3, -3\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from qffhhllxqcxffhcl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*h = 276*h - 1452 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 5:48 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - -65763830192.89.\nAnswer: 65763830193.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17526612*v**2 - 139491*v - 26?\nAnswer: 35053224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 50\/2*(-6108)\/7635\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10120 = -14*o - 10204 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-154)\/35*(-3)\/((-24)\/(-20)). Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8820)\/98*4\/42 + (-3)\/7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -398, -789, -1166, -1523, -1854?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 1424 - 1434. Put d, -7, -3, -5 in descending order.\nAnswer: d, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6355713 (base 8) to base 10.\nAnswer: -1694667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/135 and 11\/5970.\nAnswer: 53730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/1)\/(-30*(-6)\/(-24))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 776316 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14a - -37614?\nAnswer: 37475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + -19. Let z be ((27\/(-12))\/3)\/((-627)\/88). Which is the biggest value?  (a) 2\/11  (b) -5  (c) v  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 20 - -4390?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 0*t**3 - 1\/3*t**4 + 0*t**5 + 1\/30*t**6 + 0 + 2*t + 0*t**2. Find the third derivative of w(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 37*z**2 + 3*z - 1. Let c be w(2). Let f be 3 + 14\/(-6) + (-1016)\/12. Let j = f + c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2624 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5937, -12039, -18153, -24285, -30441, -36627, -42849, -49113?\nAnswer: -55425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 241\/4, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 2*n = 20, 3*a + 6*n = 2*n + 10. Find the common denominator of -40\/7 and ((-5)\/a)\/((-2)\/86).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3197024 times -6?\nAnswer: -19182144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 14 = -2, -3*s = 4*x - 22. Suppose -2*i = 10, -s*i + 30 = -2*j + 82. Suppose 6*b - j*b + 150 = 0. Solve 5*u + 5 = b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15208869*g + 7*g**2 - 7*g**2 - 38*g**3 + 15208869*g.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21551243 is divided by 3966?\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45389 + -5492015\/121. Is 1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-73)\/(-12) - (11 + 7 - 12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o + 4. Let z be i(0). What is the greatest common divisor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -99 + 158. Suppose 4*n = 3*a - 257, -4*a = -n - f + 11. Let u = n - -139\/2. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 41321211 (base 5) to base 2\nAnswer: 1010010101111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -17 - (6 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 227, -1531, -5293, -11065, -18853?\n\"Answer: -n**3 - 996*n**2 + 1237*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 7. Suppose -2*t + 2 = -j. Suppose 2*u + 0*c - 95 = t*c, -5*u + 230 = -5*c. What is the remainder when u is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8b (base 14) to base 9.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 9*u - 2. Let x = -2 - -5. Suppose g - n - 2*n - 1 = 0, -17 = -x*g + 2*n. What is the remainder when 45 is divided by i(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 - 6*v**2 + 3*v**2)*(-3*v - 3*v + 2*v) - 2*v**3 + 6*v**3 - v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -0.113999173?\nAnswer: -0.886000827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -107196, -4, -2 in increasing order.\nAnswer: -107196, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-20)\/(-260) - (-464030)\/65.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, f: 3, s: 1}. What is prob of sequence sb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0025767us to hours.\nAnswer: 0.00000000000071575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*w = -19*w - 1378. What is the highest common factor of w and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 77.93067cm?\nAnswer: 779306.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -35*k - 47. Let s(w) = -69*w - 95. Let b(d) = -4*s(d) + 7*x(d). Let f be b(3). Calculate the greatest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*i + 816*i + 941*i.\nAnswer: 1831*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -h*p*u - h*p + h*u - 81*h - 2*p - 170*u + 2 wrt u.\nAnswer: -h*p + h - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 95\/2*k + 43\/4*k**2 + 1\/4*k**3.\nAnswer: k*(k + 5)*(k + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 19*h**2 + 21*h - 19. Let b be l(20). Let o(i) = 11*i**2 - 2*i + 1. Calculate o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**2\/19 - 46*v\/19 - 84\/19 = 0. What is v?\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 11*u + 1. Suppose -33 = -39*v + 28*v. Is w(v) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32084 and 17276.\nAnswer: 224588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 + 3*o - 7. Let a be c(-5). Suppose a*f + 4*x - 42 = -10, x + 7 = 3*f. Solve 9*u - f*u - 10 = 3*s, -s + 10 = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9031908 + 4210349. Let v = 4821558.39999984 + s. Let m = v - -0.6. What is m rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70, 289, 712, 1387, 2362, 3685?\nAnswer: 5404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2017 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: What is the derivative of 6*p*w - 725*p - 11*w**2 wrt w?\nAnswer: 6*p - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 192 and 60690.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1349, 2676, 4003, 5330?\n\"Answer: 1327*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 178259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 + -30. Let y = -0.01 - -6.01. Let m = y - 2. Sort -0.2, h, m in descending order.\nAnswer: m, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 4:43 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 8\/51, 22, -23, -4, -0.5?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13530 (base 6) to base 7.\nAnswer: -6150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/8851362 and -59\/6396.\nAnswer: 725811684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/2)*o)\/(o**(-2\/11)\/o))**(-3)\/((o**(-1))**50*o\/(o**(7\/3)\/o)*(o**(1\/4)\/o)\/o) assuming o is positive.\nAnswer: o**(6209\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 368 - -6009a8?\nAnswer: 601265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = b - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 775 = -2*p - 0*p, 2*p + 265 = q. Suppose 3*k + q = -o, 3*o + 4*k = 334 - 1114. Let i = -141 - o. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 54 = -5*q + 2*j, 3*q - j + 40 = 0. Let s = q + 18. Suppose 0 = -5*o - 5, -4*w + s*o - 2 = 9. Let l(b) = -b**2 - 2*b. What is l(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2. Let z be w(0). Solve f - 3*f + 4 = z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 8*k + 12. Suppose -4*l = -3*z + 3, -5*z - 2*l + 10 = -21. Let a(x) = -5*x + z*x + x - 3*x + 3. What is -9*a(g) + 2*u(g)?\nAnswer: -2*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b*b*b**(1\/3))\/b)\/b)**45)**(3\/5) assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11037103 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -0.2  (b) -47  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 8952?\nAnswer: 62664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + sqrt(44) + -1 - (sqrt(88) - -1*2*sqrt(88))\/sqrt(8))**2.\nAnswer: -36 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 4685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23 or -793\/34?\nAnswer: -793\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0, -0.2, 866, -1453?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -11*m - 61. Let a be f(-6). Suppose a*k + 541 = 86. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 8700259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 307469, 307477, 307485, 307493?\nAnswer: 307501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*p**6 - 5*p**4 + 36*p**3 + 1151*p**2 + 3*p - 3 wrt p.\nAnswer: -1680*p**3 - 120*p + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + c. Suppose -h = -c*h - 2. What is the first derivative of -14*x**h - 2 - 2 + 18*x**2 wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -30*s + 26*s. Solve 13 = 4*g + r, -s*r - 6 = -5*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 19. Suppose 2*g - 1 = -4*q - j, -3*q - 4 = -5*g. Let c(t) = -t**3 - 4*t**2 - t + 1. Determine c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) -0.04  (c) -24.5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 774850 or 774841?\nAnswer: 774841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-29449)\/(-14700) - (0 - -2). Let y(r) be the third derivative of u*r**5 + 1\/20*r**4 - 5*r**2 + 3\/10*r**3 + 0*r + 0. Solve y(j) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -30b1 + -338?\nAnswer: -3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, g: 2, s: 1, l: 4, e: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4948\/63 + -676\/9. Let u(l) be the third derivative of -l**5\/60 + 3*l**4\/4 - 8*l**3\/3 + 3*l**2. Let c be u(17). Is a greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26692 is divided by 834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -55b334 (base 14) to base 10\nAnswer: -2912018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29539.691362 - -140.\nAnswer: 29679.691362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/1*(-9)\/(-2))\/(249\/(-581))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*i + 41 + 42 - 86)*(0*i - 6 - 2*i + 4).\nAnswer: 26*i**2 + 32*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 26077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5*z**2 + 2*z + 4. Let x(v) = -15*v**2 + 5*v + 11. Let a(k) = -94*k + 2346. Let y be a(25). Determine y*x(i) + 11*o(i).\nAnswer: 5*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 301009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u*u*u*u\/u**(-4\/5)*u*u))\/u**(-3\/5)*(u*u\/u**(-10))\/(u\/(u\/(u*u**(-5)))) assuming u is positive.\nAnswer: u**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 776 + 774 - 13*c - c**3 + 3*c**2 - 1556 + 5*c + c**4 - 5*c to the form r*c**2 + w*c**4 + j*c**3 + z + f*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19613 and 65594787?\nAnswer: 721542657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 297.00604 - 297. Let b = -0.004 + k. What is b rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-6)\/(-15) + 116\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 75\/(-2)*(-10)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47241 + 17?\nAnswer: 47260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2331.63 + -2339. Let k = 164041.60640367 + -164034.2364. Let n = k + u. Round n to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3615228 divided by -100423.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -10*t**6\/3 - 13*t**5\/15 - 131*t**2. What is the third derivative of n(k) wrt k?\nAnswer: -2400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12*2\/6)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38.863054 + 0.089946. Let b = 0.047 + s. Let t = -38\/45 - -4\/9. Is t >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, i: 1, g: 6, e: 2}. Give prob of picking 2 l, 1 e, and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18826567*o**2 + 12340991*o wrt o?\nAnswer: -37653134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3063 * -0.18.\nAnswer: -551.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -3*y**4\/5 + 183*y**3\/5 - 1908*y**2\/5 + 1728*y\/5 = 0?\nAnswer: 0, 1, 12, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4103637, 4103580, 4103523, 4103466?\n\"Answer: -57*q + 4103694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -551 divided by 82\nAnswer: -551\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63758 and 4490.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 463*o + 497*o + 12290 = -269*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z + 2. Suppose 141 = m - 4*d, 0*d = 5*m - 2*d - 633. Let x = m - 122. Determine q(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -5, 17, 1819394?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 22*k. Suppose -4*r = -60 + 40. Let t(q) = -7*q**2 + 13*q**2 - r*q**2. Give t(f(l)).\nAnswer: 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60*d**6 - d**2 - 3*d.\nAnswer: -7200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t = -168*t - 154 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*m + 8 = -57*m + f, 5*m - m + 13*f = -25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 6*a + 39 = a, 4*i = 5*a + 47. Suppose -i = -n + 2*c, -49 = -5*n - 4*c - 9. Let o = -6 - -11. Calculate the smallest common multiple of o and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.098355*-0.5\nAnswer: -0.0491775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2309332?\nAnswer: 2, 577333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m**3 + 15*m**2 - 9*m - 13. Let p(l) = 5*l**3 - 23*l**2 + 13*l + 20. Let s(c) = -8*a(c) - 5*p(c). Calculate s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 105328689*g**2 + 84*g - 131346 wrt g?\nAnswer: 210657378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1529.55994 to 0 decimal places.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 - ((-336)\/14 - (126 - 166))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20909692 is divided by 161?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x. Let y(s) be the second derivative of 73*s**4\/12 + 50*s + 1. Calculate c(y(a)).\nAnswer: -219*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 23*t**2 - 475*t + 35. What is i(-14)?\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -m**3\/2 - m**2 + 15*m\/2 = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 312 and 304464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 s, and 2 z when four letters picked without replacement from {s: 3, g: 6, x: 5, n: 2, k: 1, z: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/270)\/(23\/(-46)) + (-30)\/27 + 1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 7*s**4\/6 + 27*s**3 + 3*s**2 + 78. Differentiate c(x) wrt x.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3228, 3223, 3216, 3207, 3196, 3183, 3168?\n\"Answer: -f**2 - 2*f + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - (sqrt(152)*2*-6 - sqrt(152))))\/(sqrt(88)\/(sqrt(22)\/sqrt(2))).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 756 * 0.78\nAnswer: 589.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -86 + 89. Let k(m) = -m**2 + m + 10. Let b be k(n). Let v be (-2)\/3*(-10)\/b. What is the fourth smallest value in 4\/3, v, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001259 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*w**2 + 160 + 153 + 9*w**2 + 19*w - 316 as q + p*w + a*w**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38\/(-144) + (-15 - 2091\/(-136)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -82*m**2 + 162*m + 4. Let w be v(2). Put w, 6, -7, 4, -10 in decreasing order.\nAnswer: 6, 4, w, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13417 is divided by 528.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72539849 to the nearest integer?\nAnswer: 8517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 6. Suppose u*z + 1 = -q + 11, -5*q = 3*z - 6. Let -2*b**3 + b**2 - b**z = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 4*v**2 + 12*v - 6. Let c be z(6). Let b be c*1\/1 - 12\/(-4). Suppose -5*f = 16 - 1. Are f and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = y - 27. Solve 0 = 3*i - y*c - 0 + 4, 2 = 5*i + 2*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from jzjjjpzjjjznzzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 11:03 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 88438972, 88438974, 88438976?\n\"Answer: 2*c + 88438970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.05  (b) -3\/2  (c) -7  (d) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 504499461.\nAnswer: 3, 113, 1488199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - w**2 - w + 2. Let b be p(0). Let n be b\/5 + 40\/25. Solve -n*v + 3*o - 9 = -0*v, -4*o + 14 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from gvgg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 74*p - 22. Let u be r(3). Let x = u + -2198\/11. Determine f, given that 4\/11 + x*f - 6\/11*f**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6583086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003071542996 rounded to 7 decimal places?\nAnswer: 0.0030715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 76*o**2 + 164*o - 1189. Determine z(74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -391*s + 23*s - 555 = -14907 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22 - -23.02. Let f = q - 0.02. Suppose 0 = -5*j + 10 - 5. Is f greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 475, 885, 1295, 1705, 2115?\n\"Answer: 410*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x - 32*x**2 + 39*x**2 - x**3 + 1 - 20*x**2 to the form j*x**2 + g*x + w*x**3 + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*g**2 - 27*g**2 + 6*g**2 + (-34*g + 34*g - 17*g**2)*(-1 + 0 + 4) - 4*g**2 + 3*g**2 + 3*g**2.\nAnswer: -83*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 1:02 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 7*k**2 - 7*k - 5. Suppose 5*v = 3*b - 0*v + 29, 3 = 3*v. Calculate r(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {e: 13, l: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -16.1*0.06\nAnswer: -0.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - b + 5 = 0, 4*p - 34*b + 2 = -40*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -194, -195, -196, -197, -198?\n\"Answer: -l - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 2. Is o(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n - 12. Let k be x(-6). Let d = 27 + k. Solve 3*z - d*j + 20 = 5, 5*j = 3*z + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from {f: 1, y: 1, s: 5, u: 4, m: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + 10*n + 11. Suppose 22 = -4*q + 4*w - 18, 4*w = 3*q + 31. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 5538475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4*(-17)\/((-18207)\/(-34))*-9\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18.642010984 - 0.357988176. Let m = 5 + -24. Let i = b - m. Round i to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -1 - 2944*x + 1 + 6*x**2 + 2944*x. Let r(u) = 105*u**2. Calculate r(w(k)).\nAnswer: 3780*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 4. Let y be n(3). Let r be (-164)\/y - (-1)\/(-5). Let f = r - -39. Solve -f*v + 2*v - 4*p = 0, 4*v = -2*p + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - r. Let f be h(2). Find the third derivative of 11*j**4 - 6*j**4 - 5*j**4 + j**5 + 6*j**f wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 162*c**2 - 8*c - 14. What are the prime factors of p(-4)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/5 - (-1641)\/5. Let i = -152 + v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 82 + 458 = 0. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 947941.\nAnswer: 479, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 375924967 divided by 271?\nAnswer: 1387177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*0\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -388*f**3 + 164 - 1328*f**3 - 164.\nAnswer: -1716*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -1. Let p = 7 + -7. Is p <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t + 2*t + 6*t**2 - 9*t**2 - 5*t in the form k + m*t**2 + z*t and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106, -214, -322?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1000131 (base 4) to base 8\nAnswer: 10035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*o - 2547 = 123*o + 44*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 23*u + 461. What is the tens digit of v(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 389 from -9.7.\nAnswer: -398.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(((2 + sqrt(1100) + 5)**2 - (1*sqrt(1100) + -1)) + -5).\nAnswer: -3432 - 390*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least as big as -225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 18*f**2 - 13. Let g be s(18). Let x be g\/11 - 8\/(-44). What is the common denominator of (38\/16)\/(x\/(-2)) and 73\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.91 in 0.5, 6\/7, -2\/5, 2210?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3\/94  (b) -0.06  (c) 0.2  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -2113243?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-374*i**2 + 317*i**4 + 374*i**2)*(6 - 1 + 0 + (-2 - 2 + 2)*(4 + 0 - 2)).\nAnswer: 317*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 + 549425*a.\nAnswer: -5*a*(a - 109885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iss when three letters picked without replacement from {l: 2, s: 12, i: 3}.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10*184\/(-9200))\/((-2)\/(-360))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 10716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -8. Solve -q + t = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4)\/o**(4\/3))**(-3)\/(((o\/o**(-2))\/o)**(4\/21))**(-14) assuming o is positive.\nAnswer: o**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -199a50 (base 11) to base 5\nAnswer: -34243224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of -p**5\/180 - p**4\/36 + 4*p**3\/9 + 59*p**2. Find m such that s(m) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1644 - 16*u + 822 + 819)*(-2*u - 2*u + 5*u) to the form z*u**2 + c*u + s and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 - -87. Suppose -124 = -4*w - 5*x + 44, -w + 2*x + l = 0. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**4 + 36*t**3 - 674*t**2 - 2724*t + 13104 = 0?\nAnswer: -28, -6, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8475007 - -5?\nAnswer: -8475002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70070?\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -a**3\/2 - 17*a**2\/2 + a. Let z(m) = 5 + 18*m - 17*m + 1. Let x = 40 + -57. Give x*z(y) - 6*h(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 - 354 = -5*d. Let p = -247\/4 + d. Which is the second biggest value?  (a) -3\/26  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(304) - sqrt(19)) + sqrt(19) + sqrt(19) - (sqrt(76)\/sqrt(4)*-6)**2)*2.\nAnswer: -1368 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22545?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkuuwkwkuuululjw. Give prob of sequence kul.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1991110005.\nAnswer: 3, 5, 31, 158591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -63.2 + 44. Let j = -31.3 + r. What is j rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.2  (b) 2\/57  (c) 10\/31  (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.065 + 0.165. Which is the closest to p?  (a) -3  (b) 1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 23 - 7 - n)*(0*n**2 - n**2 + 6*n**2) to the form k*n**3 + x*n**2 + o*n + m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i - 3*i + 11*i)*(i - 3*i + 0*i + (5*i - i - 3*i)*(2 - 3 + 0) + 26*i + 13*i - 8*i) as u + z*i**2 + t*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -172 and -0.07?\nAnswer: 12.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + c + 2 + (9 - 10 - 7*c + 3*c)*((-1 + 4 - 5)*(4 - 4 - 2) - 9 + 8 + 6 + 3 - 4 - 1).\nAnswer: -27*c - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57332966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6619.\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 47931 - 380?\nAnswer: 47551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 309\/22 - 165\/3630?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 7, 9, -3 in increasing order.\nAnswer: -3, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3565592\/72 + (-82)\/738. Calculate the highest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.064026 rounded to four decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 1 + 4. Suppose -v*j + 5 = 0, -l - 3*j + j = -37. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 1\/30, 5\/2, 0.15, -0.1 in descending order.\nAnswer: 5\/2, 2\/7, 0.15, 1\/30, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*q = -1117 + 1317 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 125335*v - 1378560. Determine y(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 10:12 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15581016.\nAnswer: 2, 3, 11, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 700, 1, -0.2, 10, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 314, 2497, -4 in increasing order.\nAnswer: -4, 314, 2497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13639 - 13644. Which is the closest to -49?  (a) 0.4  (b) -2  (c) -2\/13  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -73a46 + -1270?\nAnswer: -74cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 73543817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1283573433 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 38\/6 - 20\/(-12). Let m be 9*4*4\/24. List the prime factors of t + (-4)\/m + 7\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -14*p**3 - 167*p**2 - 148*p - 38. Give b(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29439 - 29435. Solve -2*m + 1 = -3*k, 95*m = 96*m - 3*k + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = z + 1, -3*x + 6 = -3*z. Calculate the common denominator of 69\/x*5\/14 and (369\/(-150))\/(18\/(-15)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -172541 at least as big as -172348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2674 + 219. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 65 = -5*f + 19, f - 24 = 2*b. Suppose -11*s = -f*s - 2040. Let n = -235 - s. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5585.87722+-124.4\nAnswer: 5461.47722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**6)**13 assuming n is positive.\nAnswer: n**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, p: 1, i: 2, l: 1, o: 2}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8)\/v**(-1\/35)*v**7\/(v\/v**(16\/5)))**(3\/13) assuming v is positive.\nAnswer: v**(129\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t - 8630 + 17*t + 8626. Let v(q) = 65*q - 11. Calculate 4*v(y) - 11*x(y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*y + l, -4 - 17 = -3*y + 3*l. Let s = 5 - y. Let x = 3.94 + 0.06. What is the third biggest value in 1, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + i. Let v(w) = -w**3 - 12*w**2 - 2*w + 6. Let x(h) = -3*k(h) - v(h). What is x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 16*b + 6. Suppose 0 = -13*s - 14 + 40. Let m(o) = -11*o - 6. Let c(u) = s*a(u) + 3*m(u). Let n(v) = -v - 5. Calculate -4*c(h) + 5*n(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2100 and 22?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -7650792.\nAnswer: 1530158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -2b21c?\nAnswer: -2b220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y - 224. What is the highest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28952483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = r + 2*t, 9 = -5*r - 4*t + 44. Let h(s) be the third derivative of -s**5\/60 + s**4\/6 + 86*s**2 - 566*s. Determine h(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 17*c**4\/4 - 4*c**3\/3 + c**2 + 2*c + 1963. Calculate n(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5407, 5465, 5541, 5617, 5675?\n\"Answer: -3*z**3 + 27*z**2 - 2*z + 5385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 - 9*l. Suppose -8 = -k + 2*h - 4*h, k - 1 = 5*h. Let f be b(k). Suppose -f + 2 = -4*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.4 + -12.4. Let g = 11.1 + a. What is the nearest to -5 in -5, 2, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2081.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -773 + 29085.018559.\nAnswer: 28312.018559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**3 + 86*y**2 - 33*y - 1415. What is the lowest common multiple of q(-43) and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 560681 (base 9) to base 11.\nAnswer: 209900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-3) + (-3)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 2*c + 118 = 0, -243 = -5*c + 102 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155 is divided by 60?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -533*u**2\/3 + 2737*u\/3 + 1090 = 0.\nAnswer: -1, 3270\/533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 50*d - 66. Let z(r) = -86 + 49 + 7*r + 28. Let x(f) = -6*c(f) + 44*z(f). Let i(y) = 9*y**2. Give x(i(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 3  (b) 0.04  (c) 1  (d) 225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 106.862 - -0.138. Let m = o + -106.9. What is the second smallest value in -7, -2, 5, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10 = -18. Suppose 0 = 6*r - n*r - 56. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2012)\/(-6))\/((-4)\/(-6)). Let a = -927\/2 + t. Find the common denominator of 208\/(-2240) + (-2)\/15 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 901\/5, 43, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -127, -249, -371, -493, -615?\n\"Answer: -122*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -76523*k**2 - 100*k - 76522*k**2 + 153053*k**2 - 32. Calculate f(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -8*y + 15. Let x be i(-14). Suppose 4*t - 21 - x = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 476*b**3 + 2*b - 55 wrt b.\nAnswer: 2856*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 6*y + 0*y)*(2*y**4 + 4 - 4) + 3*y**2 - 2*y**5 - 20 + 20.\nAnswer: -10*y**5 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 150*i**2 + 1667*i - 1454. What is a(138)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 138726214 a multiple of 4957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**6\/w)**41)**(3\/2) assuming w is positive.\nAnswer: w**(615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -7*t**2 - 10*t - 17. Let v be j(-8). Let q = v - -539. Suppose 4*b + q = 5*o - 134, 5*b - 15 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/(v*v**(-6)))*v*v*v**(-3\/5)\/v)\/(v**(1\/2))**(1\/2)*(v**(3\/2)\/(v*v*v**(-2\/11)\/v))\/(v*v*v**(-2\/3))**(-2\/17) assuming v is positive.\nAnswer: v**(-33787\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k + 2. Let d be p(0). Solve c - d = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 5, -2, -208?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -26. Let v be ((-1)\/t)\/(10\/30)*10. Suppose -2*d + d = -v. Solve -2 = -5*p + p + c, -3*p - d*c = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 1\/12*h**4 + h + 0*h**2 + 0 - 1\/3*h**3. Factor v(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13532005 or 94724032\/7?\nAnswer: 13532005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.76 in -2\/15, -1\/4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-201)\/140 + 533\/14924.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13651 and 12410.\nAnswer: 136510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12561*x - 6458*x + 792*x + 1853*x)*(1 - 1 + 3 + (-2 + 3 - 3)*(-4 + 4 - 2)).\nAnswer: -114618*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 75 + 6234. What is u rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of -t**4\/4 - 5*t**3\/3 - 2*t**2 + 4*t + 3. List the prime factors of q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3837360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 3*y - 3*y)*(-28 - 25 + 6) as z + p*y and give p.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (50*(-6)\/(-180))\/(((-385)\/(-252))\/(-11))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -780 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 2 = 0, 2*h + 4*y + 5 = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1200121210122 + -11?\nAnswer: -1200121210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wz when two letters picked without replacement from vtbzczwt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-252)\/(-8) + 6)*(-1 - -7). Calculate the greatest common factor of z and 1425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*3\/(-12)*2. Let u be 3 - p - (-70 + -1). Let h = 2 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 0*r - 2*r + (r + 1 - 1)*(-1 + 3 + 0) + r + r - 3*r + (-3 + 3 + 2*r)*(2 + 1 + 1))*(13*r**3 + 16*r**3 - 10*r**3).\nAnswer: 152*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-38)\/9 - 10\/(-45). Let b be 2\/(-6) - 64\/(-12). Sort n, 0, b.\nAnswer: n, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o. Suppose n - 5*n + 8 = 0. Suppose -6 = -h + v, 5*h - v - 3 = 11. Let l(s) = -s**h - s**2 + s**n. Give l(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 40*l - 6*l + 2*l**3 - 4 - 3 to u*l + o + z*l**3 + k*l**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10\/8)\/((-33)\/334). Let r = w + 9\/11. What is the common denominator of r and -43\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*o**2 - 7279 + 7283 - 2*o**2)*(4*o - 3*o - 4*o) to z*o**3 + y*o + s*o**2 + r and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40950*p**3 - 33*p**2 + 7 wrt p?\nAnswer: 245700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a factor of 102924724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**3*v**2 + 11*a**3*v + 40876*a**3 + 3*a**2*v**2 - 28*a**2*v + 2*a*v**2 - 1249*a + 1 wrt a?\nAnswer: 6*v**2 + 66*v + 245256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2 - 135*v + 7722.\nAnswer: -3*(v - 33)*(v + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 less than 816531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12*m + 27 = 0. Solve -3*o = -m*y + 27, -5*y + 41 = o - 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13 + -49124c7?\nAnswer: -49124b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21382 + 844. Suppose 316*k - 318*k = -l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 580420237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 25.31, 2, -4, -6, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q + 15, q = -29*r + 32*r + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/186915 and -1\/10262.\nAnswer: 2616810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138698299 to the nearest integer?\nAnswer: 11777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4174076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 2*r = 3*r + 7, 0 = 4*k + 2*r + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.06806 rounded to 3 decimal places?\nAnswer: -5.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2*2\/12)\/20*121\/(-3) and -43\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -319170, -1276574, -2872208, -5106072?\nAnswer: -7978166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/44 and -33\/49168.\nAnswer: 540848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*v - 50*v + 21*v + 84 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -10*t**2 + 147*t + 50. Let y be j(15). Solve -2*w = 3*n + 1, 2*w - y*n + 10*n = -7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1679*i = -1672*i + 1302. Which is bigger: i or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5745480 to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13 - -28?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b + 6*b + 0*b + 0*b in the form h + p*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 70*o**2 - 38*o + 665. Is f(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 324 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2180\/3 - -719. What is the common denominator of -19\/9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = k - 138. Suppose -62 = -4*g + k. Let f = g + -14. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -334689 and 10?\nAnswer: -3346890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 24*c**2 - 70*c - 88. Let p be b(19). What is the greatest common divisor of p and 3354?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -212.8 - -225.8. Which is the smallest value?  (a) 3\/13  (b) -1\/10  (c) r  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 635411.3 millilitres in litres?\nAnswer: 635.4113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7\/3, 23, 0, -0.4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 249*u + 1908 = 240*u. Let r = 216 + u. Sort -52, r, 5 in descending order.\nAnswer: 5, r, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**5*z + 10656*j**5 + j**2*z + 300*j + z + 4984 wrt j?\nAnswer: 20*j**3*z + 213120*j**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iwz when three letters picked without replacement from jziwb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -14 - 5 + y - 6*y**2 - 2*y**3 + 4*y**3 + 20. Suppose 0 = r - 6*r + 30. Is g(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1\/3, 2\/13, 2, -9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -58.041 to 1 decimal place.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(1458)*-3 + sqrt(1458))\/(3*sqrt(441)*1).\nAnswer: 30*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 147 = -g + 213, f + 684 = 2*g. Let t = 725 - g. What is the greatest common factor of 55 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/994 and 7\/1278.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1016 to 3 dps.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722889?\nAnswer: 3, 31, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4857 smaller than -4854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - a = -1, 0*n + n + 2*a = 9. Calculate the common denominator of n - (412\/72 + 2) and -97\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 68 - -384?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 - v**2 - 38*v. Let y = 206 - 197. List the prime factors of p(y).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -5, -2\/55, -1139 in descending order.\nAnswer: 20, -2\/55, -5, -1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2434301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 9*n**2 + 2. Let o be f(9). Suppose -27 = -o*r - r. Calculate the highest common factor of 99 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -74, -327, -800, -1535, -2574, -3959, -5732?\n\"Answer: -7*j**3 - 68*j**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 6. Suppose -o*f = f - 4. Let t = -5174\/25 + 207. Is f less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/54*45\/(-75)*(-15)\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 4*y + 6 = 5*y, -5*h = -5*y + 5. Put h, -2\/3, 0.4 in increasing order.\nAnswer: h, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 4*x + 6, -i - 2038 = 3*x - 2053 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 424 a factor of 531729331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8835562 and 3138?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(54\/63)*2. Suppose -4*a + 55 = 9*x - d*x, -a + 13 = -2*x. Solve -a*g + 22*g - 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (161\/(-14))\/23*((-24)\/(-74))\/(-3).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -102687387, -205374772, -308062157, -410749542, -513436927, -616124312?\n\"Answer: -102687385*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -34740, -69554, -104368?\n\"Answer: -34814*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.136 - -53.864. Let u = n + -67.8. Let p = -16 - u. What is p rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 4*s = 388, -s - 3*s = -p + 117. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**4\/7 - 57*v**3 - 4*v**2\/7 + 228*v = 0.\nAnswer: -2, 0, 2, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 133358.34ns in minutes?\nAnswer: 0.000002222639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1 - 0) + 6434 + -6445 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -787 - -789. Let o = -0.09 - -4.09. Let d = 3.7 - o. Which is the nearest to -0.2?  (a) d  (b) 5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/30301 or 36\/77?\nAnswer: 2\/30301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of -r**5\/240 + 3*r**2\/2 - r. Let q(s) be the first derivative of h(s). Factor q(x).\nAnswer: -x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/3213 and 49\/9?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5055, 8129, 11213, 14313, 17435, 20585, 23769, 26993?\n\"Answer: c**3 - c**2 + 3070*c + 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51706*h + 51668*h + 51704*h - 155077*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -14*l**2 + 97*l + 100. What is r(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -87, -2 in ascending order.\nAnswer: -87, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -189488 - -189484.999998. Let q = -1 - -4. Let b = p + q. What is b rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8138197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-27*z + 5*z - z)*((-4 + 0 + 3)*(2 - 4 + 1) + 3 + 7 - 2)*(-201 - 69 - 195 + 166) to x*z + d and give x.\nAnswer: 61893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*(-5)\/(-35) + (11 - -1). Suppose 18*n - u*n = 0. Suppose 5*c = 2*y + 442 + 174, -5*c + 5*y + 625 = n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3c05 (base 15) to base 2.\nAnswer: 11001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of u**4\/4 + 3*u**3 + 9*u**2\/2 + 11*u - 55. Determine v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3730 - 3621. Calculate the remainder when b is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3850422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2083*l**3*y + 61*l**3 - 2*l**2 - 1341*l - 25*y**4 + 1 wrt y.\nAnswer: -2083*l**3 - 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 2*t + 3. Let d be o(-3). Suppose u = -4, 4*s = -3*u - d*u - 20. Let a be (1 - -1*6) + (-20 - -19). Put 3, a, s in descending order.\nAnswer: a, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21873 - 21865. Sort 86, j, 2, 0, 4 in increasing order.\nAnswer: 0, 2, 4, j, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.35 + -8.35. Let x = 12.3 - m. What is the fourth biggest value in 2, 2\/11, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**(2\/9)))**(1\/5)\/((y\/((y*y*y\/(y**7\/y)*y)\/y))\/y*y*y\/y**(-4)))\/(y*y*y*y*y**(3\/5)*(y*y\/y**(-8))\/y)**(3\/14) assuming y is positive.\nAnswer: y**(-3739\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4819 + 4836. Put -0.5, 4, 0.2, 2, y in descending order.\nAnswer: y, 4, 2, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*u = 446*u + 3132 + 3630 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 304843\/(-3745) + (-136)\/(-40)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 + 112. Let c(z) = z + 1. Let j be c(7). Calculate the highest common factor of j and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 590918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/38400 and -91\/1440.\nAnswer: 115200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -99 (base 11) to base 6\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j + 122. Calculate p(-19).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 7 - 316*w**2 - 5*w + 20*w + 314*w**2. Let p be r(7). Calculate the highest common factor of p and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -943205\/44 and -21435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oap when three letters picked without replacement from paofpff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor k - 1\/5*k**2 - 3\/5 - 1\/5*k**3.\nAnswer: -(k - 1)**2*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530262 (base 7) in base 15?\nAnswer: 1c120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 39*u - 4*t - 25 - 5 - 32, t = 5*u - 6419 + 6413 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 0)\/(7\/(-7)). Suppose 5*h = 3*r - 44, h + 372 = -5*r + 380. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -11*l**2 + 203*l + 207. Let g(u) = 5*u**2 - 101*u - 103. Let o(f) = -14*g(f) - 6*j(f). Determine t, given that o(t) = 0.\nAnswer: -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33907117 at most as big as 33907119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-119)\/(-3) + -1)*(6 + (-138)\/(-4)). Calculate the greatest common factor of 58 and l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 740 - 369 - 2295*x - 371 - 475*x to j + v*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -822 = -5*v - 157. Let i be 533\/3 - 2\/3. Let p = v + i. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -i**3\/3 - 2*i**2 - 2*i + 5. Let f be b(-2). Is 9 a factor of 91\/f + (-16)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 13*z**3 - 14*z**2 - 5*z + 5. Let p(x) = -20*x**3 + 21*x**2 + 8*x - 8. Let c(t) = 8*k(t) + 5*p(t). What is the third derivative of c(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 23*i + 53. Let n(b) = -23*b - 89. Let k be n(-3). Calculate w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13310464 times -0.3?\nAnswer: -3993139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of -m**3 - 1\/50*m**5 + 3\/10*m**4 + 81*m + 0 + 7\/5*m**2. Factor o(x).\nAnswer: -2*(x - 7)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 2*a**7\/21 + 62*a**6\/15 + 59*a**5\/5 + 29*a**4\/3 - 1107*a. Factor u(s).\nAnswer: 4*s**2*(s + 1)**2*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 2*z = 0, -4*a - 8 + 11 = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 232 + -191. Let z = -211 - -454. What is the remainder when z is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -11 - (-9 + -9 + (1 + 2 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 349.4945 millennia to months.\nAnswer: 4193934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 6:11 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*r**4 + 3*r**3 - 6734390*r**2 + 236854372*r wrt r?\nAnswer: -108*r**2 + 18*r - 13468780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -8*w + 6*w - 300, 3*l = -w + 450. Calculate the remainder when l is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**16*d)\/d*d\/d**32)\/(d**(-1\/2)*d**23\/d*d) assuming d is positive.\nAnswer: d**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -16*b**2 + 18*b**2 + 7 - 7. Suppose -3*p + 13 = -j, 0 = 3*j - p - 0 - 1. Let d(q) = 6*q**j - 2*q**2 - q**2. Determine d(m(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*n, 0*q = 2*q - 3*n - 57. Suppose -2*v - 3*b + q = 12, 0 = -4*v - 2*b + 32. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*m**3 + 3*m - 11*m + 6*m + (2 - 2 - 4*m**2)*(-4*m - 3 + 3))*(-2*m + 8 - 8).\nAnswer: -68*m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16528919, -16528954, -16528989?\n\"Answer: -35*b - 16528884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6)\/(9\/27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 19*g. Let w be x(0). Solve 0 = 2*u - w*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 = -178*m + 169*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -14*q - 221. Let x be s(-16). Suppose 0 = -5*m - x*l + 5619 + 1258, 5*m - 6878 = -2*l. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7214.555 millilitres?\nAnswer: 7.214555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 504 - 320. Calculate the greatest common divisor of z and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -475843 - 376821062.\nAnswer: -377296905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/(16\/(-6)))\/(18\/(-171)))\/((-636)\/1696)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*n + 3. Let h be 0 + 2\/(-57)*-3. What is the nearest to -0.1 in h, -1, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -13*s + 7. What is the tens digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 8:43 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, -5, -12 in descending order.\nAnswer: 6, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (100\/400)\/((-9)\/444)*3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 3, -5, 6, 0 in descending order.\nAnswer: 6, 3, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = -2*u + 40 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 11, -4, -5, -34 in decreasing order.\nAnswer: 11, 5, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 110 and 7548?\nAnswer: 415140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4588069 and 2.\nAnswer: 9176138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -10, -0.64 in ascending order.\nAnswer: -10, -5, -0.64, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*x**2 - 3)*(-1 + 3 - 4) + (9*x + x - 3*x)*(887*x - 464*x - 504*x).\nAnswer: -571*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/8 - 165\/(-20). Let m be (q\/6)\/(3\/6). Suppose m*h = 5*h - 20. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/((b\/((b**2*b)\/b))\/b)))**(1\/3))**(-6) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3927050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*n - 530 = 4293 + 889 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -43) + -113 + 44.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17)\/(-4) + 71157\/12. Is 5934 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -106*z**3 + 4*z**2 - 4*z - 1. Let d(q) = -212*q**3 + 7*q**2 - 7*q - 1. Determine 4*d(x) - 7*o(x).\nAnswer: -106*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/3*-3 + 1. Suppose -w*p + 22 = -0*p - 3*i, -2*p + 16 = -3*i. Solve 3 = q - p*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*c - 7 - 84. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -2*w + 8, 39*v - 42*v - 3*w = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -55*f**4\/2 - 14*f**3\/3 + 10269*f - 8639. Find the first derivative of g(c) wrt c.\nAnswer: -330*c**2 - 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*20203\nAnswer: -101015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3027*-88906\nAnswer: 269118462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 421*t = 420*t + 6, 4*o = 5*t - 12. Put o, -5, 1212 in increasing order.\nAnswer: -5, o, 1212","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4\/9 - 1192*m**3\/3 + 17980*m**2\/3 - 270200*m\/9 + 150250\/3 = 0. Calculate m.\nAnswer: -1803, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**2. Let a(b) = -5*b - 7*b + 10*b. Calculate a(m(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggbggggg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 + 0 + 0 + (3*l - 4*l + 3*l)*(2*l**3 - 3*l**3 + 0*l**3) + (-3*l**3 + 0*l**3 + l**3)*(694*l + 21 - 21).\nAnswer: -1391*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + k - 6. Let u be j(0). Suppose -4*w + 9*w - 5*c - 475 = 0, 5*w = -3*c + 483. Does 8 divide ((-8)\/u)\/(4\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 42 - 38 = n, 3*x = 5*n - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2834337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 4. Let j be l(-2). Suppose 0 = 4*p + 8, j*t + 4*p = t + 2. Suppose -20 = -3*y + 4. Calculate the smallest common multiple of y and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/4071 and 5\/192?\nAnswer: 260544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1179510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/12*(-100)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4069 - 0.1369. Which is the smallest value?  (a) -2\/25  (b) 0.5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/((-315)\/(-20)))\/(1*-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -451*j + 451*j + 2*j**5 + 7*j**2 - 39*j**6 wrt j.\nAnswer: -4680*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-3))\/(23\/(-828)). What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 0.14, 802.5, -2\/11, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**2*s)\/s**(-11)*s**(-2\/5)\/s*s*s*s\/(s**(1\/2)*s))**(1\/10))**27 assuming s is positive.\nAnswer: s**(4077\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -469*j - 134 = -223*j + 112 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225603?\nAnswer: 3, 7, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u**2 - 23*u + 60. What is x(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 153191622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 6:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.25 + -0.11. Let y = -20.14 + t. Let h = -29.2 - y. What is h rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -39*f**3 + 26*f**2 - 18*f + 11. Let z(h) = 13*h**3 - 9*h**2 + 6*h - 4. Let q(m) = -3*t(m) - 8*z(m). What is the remainder when 44 is divided by q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -t**3\/3 - 6*t**2 + 5*t. Let z be q(-6). Suppose 3*p + p - 140 = z. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**4\/2 - 58*w**3 - 495*w**2 - 1458*w - 2889\/2 = 0.\nAnswer: -107, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 25, -4\/7, -23, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18 + a?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 87383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5853 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 970\/8245 - 744\/(-34)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-60)\/(-225)*((-5 - -1) + (-6 - -7)). What is the smallest value in 0.03, u, -0.3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1529 - 1229 = 20*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7677696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from hiivihhhhhhvih?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - f + 7*f)*(3*f - 3*f - 2*f**2 - 2*f**2 - 1 + 1 + 1 - f**2 - 1 + (-2 - 1 + 4)*(-2*f**2 + 0 + 0)).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2. Let h(o) = -o**2 + 5*o + 6. Let y be h(6). Suppose 2 = v - y. Let g(i) = 1 + 1 - v + 4*i**2. Determine g(w(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 2*n - 12*n - 1 in the form j*n + i and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1529\/42 - -279\/14. Let j = g - 57. What is the nearest to -2 in j, -2\/5, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37*n - 3*n - 22 + 260 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4 and 40258.\nAnswer: 40262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -23*r**2 - 157*r + 40. Determine m(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 PM and 2:18 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a + -2a523?\nAnswer: -2a505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3516 + 1923. List the prime factors of u.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*l = 51086, -3*t + 7*t - 51085 = 3*l. Suppose -20*g + 3928 = -t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -8*t + 4. Let x = 3 + t. Suppose -3*r - 54 = -x*r. Calculate the lowest common multiple of r and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022102 (base 7) in base 8?\nAnswer: -360464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 33746798?\nAnswer: 101240394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 58*h**2 - 6*h + 7. What is the tens digit of s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -114 - -114.000749. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18*f + 18*f**2 - 37*f**2 - 73*f + 157 + 18*f**2 wrt f.\nAnswer: -2*f - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {w: 8, c: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54280?\nAnswer: 2, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -11*v**2 - 49*v - 308. Give j(-8).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -20*p. Let g(h) = -1110*h. Determine s(g(f)).\nAnswer: 22200*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*z - 8. Let s(j) = j**3 - 8*j**2 - 8*j - 4. Let y be s(9). Let w = 7 - 7.1. What is the closest to 0.1 in y, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-6)*(-2 + 8). Determine s, given that 16 - 16*s + 16*s**3 - 9*s**b - 4*s**4 - 7*s**2 + 4*s**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (-7 - -3)\/(-1) + -3. Suppose 10*i - h = 9*i. Suppose 3*k - 17 - 43 = 3*l, i*k + 3*l = 50. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a - -88?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46375 is divided by 9145.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -219, -24, 499, 1506, 3153, 5596, 8991?\n\"Answer: 26*m**3 + 8*m**2 - 11*m - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -2*q**5\/3 - 4*q**4\/3 + 40*q**3\/3 + 44*q**2 + 30*q = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7082, 201, 0, 1, 2 in ascending order.\nAnswer: 0, 1, 2, 201, 7082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + t - 32 = 0, -4*t + 2 = 3*c - 45. Suppose 170 = c*i - 4*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 103548 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.13 - 0.13. Let u = 6.6 - 6.2. Sort j, u, -15, -2\/9 in ascending order.\nAnswer: -15, -2\/9, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -19*s + 323. Let t(n) = -8*n - 1. Determine -d(h) + 2*t(h).\nAnswer: 3*h - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 49 + (5 - 0\/(-7)). Suppose -52*n - 3778 = -y*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u - 7. Let q be (24\/15)\/((-4)\/30). Let z be m(q). Let k = z - 2. Solve -3*o + 5*y = -2*o - 28, 0 = -k*o - 4*y - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w*w**7)\/w*w*w*w\/(w**(1\/3)*w*w)*w)\/(w*w**4\/w*w*w**5\/w*w))**(-2\/5) assuming w is positive.\nAnswer: w**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s + 1. Let q(w) = -w**3 - 6*w**2 + 8*w + 2. Let v be q(-7). What are the prime factors of d(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -4*q**4 - 41468*q**3 - 107412444*q**2 + 322776620*q + 430147600 = 0.\nAnswer: -5185, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/22, -0.06, -303386 in ascending order.\nAnswer: -303386, -0.06, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 568*g**2 - 469*g - 56633. Determine t(569).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -s**7\/105 - s**6\/120 - 379*s**5\/20 + s**4\/12 + 1934*s**3\/3 + 6595*s**2. What is the second derivative of k(p) wrt p?\nAnswer: -24*p**2 - 6*p - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/21381 and -107\/6?\nAnswer: 42762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26791899 and 155454?\nAnswer: 5979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25988003 is divided by 962516.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 235 and -4.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-9)*103\/((-61594)\/(-117)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35904 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**2 - o - 3. Let t(x) = -x - 9. Suppose 6*g + 2*f = 2*g - 30, -g = 4*f + 18. Let q be t(g). Is y(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -16. Let r be (36\/24)\/((-1)\/2). Let s be 32\/30*-3 - r. Sort j, -4, s in decreasing order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 292600 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13, 25, 7, -41, -119, -227, -365?\n\"Answer: -15*b**2 + 57*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19703263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c = 2*c + 90. Solve -5*x + c = 5*f, 0*x = 3*f + x - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from {f: 5, t: 8, u: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -6*k - 12. Let l = -64 - -67. Is 14 a factor of (3 + l)*(-38)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/(-30))\/(-6 + 4). Factor -l*k - 2\/15*k**4 + 2\/15*k**2 + 2\/15*k**3 + 0.\nAnswer: -2*k*(k - 1)**2*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -9. Let v(f) = f + 3 - 3 + y. Let b(x) = 0*x**2 - 13*x**2 + x**2 + 9*x**2. Give v(b(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1343 is divided by 655?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 8:33 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 359603.4 grams?\nAnswer: 359603400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 158 = 15*h + 24 - 58 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -193 + -29?\nAnswer: -1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5204*m**6 + 5*m**4 + 112*m**3 + 27244070*m**2.\nAnswer: -624480*m**3 + 120*m + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 90324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5670.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1045.65609 rounded to zero dps?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o**3 - 1707*o**2 - 309072*o + 2580288 = 0.\nAnswer: -151, 8, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -10. Let u be 6\/y + -1 + -1. What is the common denominator of ((-87)\/(-9))\/(u\/6) and 85\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4738 and 1426.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -142 + 146. Solve 0 = 3*r + 3*j - 9, t*j - 11 = -2*r + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24763994677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1094\/1015 + 84\/145. Calculate the common denominator of (-34)\/70*(6 + -10) and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1118481.\nAnswer: 3, 7, 13, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 5*o + 2. Let z be f(-3). Put z, 4, -5 in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-63))\/((44\/66)\/(-1 - 0))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000288394 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 28 = -x + a, -5*a = x + 24. Let n = x - -32. Solve m = n*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**7)**(-39)*(q**(-4\/5))**(-1\/3) assuming q is positive.\nAnswer: q**(3514\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29 (base 11) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 57.82?  (a) 3  (b) 1  (c) 1929  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -92068 (base 12) in base 2?\nAnswer: -101110011011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 10 = -5*n, -r - 12*n - 2 = -11*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from kojojkkook?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (641*s**2 - 4055*s + 4055*s)*(-s**2 + 0*s**2 + 3*s**2) to the form n*s + v*s**2 + a + d*s**3 + f*s**4 and give f.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**4*t*t)\/(t\/t**(-2))*t**5*t*(t**(-3\/4)*t*t)\/t*t**(10\/7)*(t**(-1)\/t)\/(t\/((t*t\/(t**(-3\/5)\/t))\/t)) assuming t is positive.\nAnswer: t**(1439\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/168909131 or 1?\nAnswer: 9\/168909131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70 + (-67 + 44 - (-3 - (14 + -9)) - -26).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of 2*n**6\/15 - n**5\/5 - 7*n**4 + 30*n**3 + 459*n - 3. Solve o(p) = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(3\/8)*d)\/d)**(1\/41))**(1\/80) assuming d is positive.\nAnswer: d**(1\/5248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 942.53 - 942.5395658. Round u to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbibbbtbbbbiii. Give prob of sequence bbib.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((5*(3*sqrt(102)*4 + sqrt(102)))\/(1*sqrt(384) + (sqrt(66)*1 + sqrt(66))\/sqrt(11)))**2.\nAnswer: 2893\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29491 smaller than 29505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 157 - 76. What is the lowest common multiple of f and 9*(4\/6)\/((-6)\/(-9))?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1035823*f**4 - 36*f**2 + 431708116 wrt f?\nAnswer: 4143292*f**3 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*b - 22 = 44, 0 = -q + 4*b - 18. Let z be ((-91)\/q)\/(1\/2). Solve -u - z = -0*r - 5*r, 0 = 3*u - r - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27252 and 35928.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55) - (sqrt(110)*-4)\/sqrt(2)) + sqrt(55))\/sqrt(11).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -z + 5*d, 6*d - 5 = d. Suppose -m - m + 6*m = 0. Solve 6*j - j - z = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -3. Let r(u) = -2. Let g(n) be the first derivative of -1\/2*n**2 - 27 + 0*n. Give a*g(h) - r(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9998 from 0.3.\nAnswer: 9998.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5135 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1780428 rounded to four decimal places?\nAnswer: -1.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1550113 (base 6) in base 2?\nAnswer: 10110011110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13808658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4029, 6844, 9673, 12522, 15397, 18304, 21249?\n\"Answer: h**3 + h**2 + 2805*h + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(1 - 5))\/((-108)\/(-432)). Solve -36*m + r*m = -68 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 223499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14524 - 9649. Suppose -5*b + b = 5*d - t, 2*d - 1950 = 3*b. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((54\/378)\/((-2)\/68))\/((-5)\/(-35))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -u**5\/12 - 11*u**4\/18 - 4*u**3\/9 + 16*u - 1. Let x(v) be the first derivative of r(v). Solve x(w) = 0 for w.\nAnswer: -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131253261.3ns in weeks?\nAnswer: 0.00000021701928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, i: 2, m: 1, e: 1, p: 1, f: 1}. What is prob of picking 1 f and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 10. Let x = j - -1. Let u = x + -5.9994. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -192, -282, -372, -462?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 323723, 1294875, 2913453, 5179451, 8092863, 11653683, 15861905, 20717523?\nAnswer: 26220531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 175 = -183 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 l, and 1 h when three letters picked without replacement from keeekkemmhheelk.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**2 - 44439*n + 122706846 = 0. What is n?\nAnswer: 3671, 11142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -5*d + 33294 - 33294 + 22*d. Let i(p) = -28*p**2. Give i(z(o)).\nAnswer: -8092*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 501790824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2\/11. Let k = -2.43 + 2.43. What is the closest to -2 in q, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.40097 to two decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 - 5. Let l be j(-4). Calculate the smallest common multiple of (4\/(-3))\/((-6)\/l) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h - 1. Let n be k(3). Suppose -6 = n*t - 3*t. Calculate the greatest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 3, t + 4*z = -4*t + 239. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**3 - 35492*r**2 + 4608512*r = 0.\nAnswer: -9001, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g + 3. Let x(d) = 2*d - 4. Let o(k) = -3*a(k) - 2*x(k). Let i be o(-8). Is 1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/(-360)*(-2)\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3833827 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 350620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -43 (base 9) to base 10\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 69, 114, 149, 168, 165, 134, 69, -36?\n\"Answer: -k**3 + k**2 + 49*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + k + 3*w = -63, 3921*w = -4*k + 3931*w - 100 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 3*g + 9, -2*h + 4*g = 3059 - 3071 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01618 in 4, 3\/10, 101?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/(-27)*6\/(-115)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28325656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 123*t**2 - 639*t - 53. Let l be f(123). What is l rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 684, 2116, 4900, 9486?\nAnswer: 16324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0500162024 to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i - 12. Suppose -7*u + 2*u + 40 = 0. Let s be q(u). Suppose 0 = -2*w + 6, 3*d = 2*d + 2*w + s. Solve 5*o = -t + 1 - 21, -t - 3*o = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j - 86*j = -46*j + l + 171, -5*j - 100 = 2*l for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4100012*k**3 + 682*k**2 - 17*k - 40.\nAnswer: 24600072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2331 + 0?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 88099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/(-96)*((-2874)\/165 - 62\/341).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -5*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 53 = -3*u - 12, u - 5*z - 1 = 0. Let i = -7 + u. What is the lowest common multiple of 2 and (-2 - i)*1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(18\/7)*a*a\/(a*(a\/(a**(-17)*a))\/a*a) assuming a is positive.\nAnswer: a**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 816437676 to the nearest integer?\nAnswer: 28573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t - 8. Let w(y) = y**3 - 77*y + 2. Let i be w(0). What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 3*l + 14. Determine v(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122557 + -85532. List the prime factors of x.\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 1 = -17. What is the smallest common multiple of 15\/f*8\/(-20) and ((-12)\/(-3))\/2 + (-30)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 890 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 1:44 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 5, 1, -203, 14.\nAnswer: -203, -32, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaka when four letters picked without replacement from {k: 2, a: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + q - 5*q**4 - 5*q**2 + q**4 + 6*q**2 as f*q**2 + c + z*q**4 + m*q**3 + g*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 4*v = 0, 0*z = -2*z + 3*v - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*q**5 + 3309*q**3 - 1064537*q?\nAnswer: 80*q**3 + 19854*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 11) + 7 + 5 + -3 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1104214 (base 5) to base 14.\nAnswer: -7073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/2)\/(3\/102). What is the common denominator of (18 - g) + 8\/(-9) and (1\/(11\/8))\/(3\/(-18))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p + 8. Let c be k(7). Let m be (-18)\/(c - 75\/66). Let x be m\/30 + 3\/5. Solve 0 = -3*o + 5*s + 7, -o + s = x*s + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 + 55 + a + a - 36.\nAnswer: 2*a + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0257608 to 4 decimal places.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 316, 358, 398, 436?\n\"Answer: -b**2 + 45*b + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 59 = 3*b. Let a(f) = -20*f**4 - 2*f - 4. Let o(r) = r**4 + r + 1. Let y(u) = b*a(u) - 3*o(u). Find the second derivative of y(j) wrt j.\nAnswer: 204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**4\/7 + 12*p**3\/7 - 34*p**2\/7 - 12*p\/7 + 32\/7 = 0.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k. Suppose 41 - 31 = -5*z. Let h(a) = 16*a + 5. Let j(q) = -8*q - 1 - 4 + 3. Let x(m) = z*h(m) - 5*j(m). Give x(o(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -507, 6, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2218319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011101101111 + 101?\nAnswer: -100011101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42 (base 7) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {i: 3, h: 1, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -106?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1535, -2770, -3983, -5162, -6295?\n\"Answer: 2*a**3 - a**2 - 1246*a - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o + 38. Determine i(21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 15*p. Let l be j(7). Let y be ((-1)\/(-7))\/((-16)\/l). Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*r - 97*r - 306*r - 384*r + 2.\nAnswer: -592*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1482\/2470)\/(6\/(-300)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 - 946*f + 223630. Determine z(463).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, z: 2, f: 2, g: 2}. What is prob of picking 2 x and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5537, -11043, -16473, -21791, -26961, -31947, -36713?\n\"Answer: 6*h**3 + 2*h**2 - 5554*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 4*z + 6. Give h(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (4\/(-6))\/(190\/(-14421))) + 892\/(-2230).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + g + 5. Let a = -393 + 452. Calculate the remainder when a is divided by p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40 and -43\/334?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 2:11 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2726 (base 9) to base 12.\nAnswer: -1229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1756 + -1758. Let h = -25 + 18. Let s = -7 - h. Is s less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -309  (b) -3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/28 + -2 + (0 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109 = -10*y - 4*l - 157, -2*y - 6 = -l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 227168.652 * -2\nAnswer: -454337.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-5))\/((-1)\/5). Sort q, -4, 1, -2 in decreasing order.\nAnswer: 1, -2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5*c - 43, -p - 5*c + 1 = -7*c. Suppose -284 = -5*f + 646. Suppose -f = -p*s + s. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(832) + (sqrt(832) - (sqrt(832)*1 + -2)) - (-1 + sqrt(832) + 2 - sqrt(832)) - (5 + sqrt(832)*-1 + -1))**2.\nAnswer: -480*sqrt(13) + 16685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((12\/14)\/((-3)\/(-12)))\/(167\/(1546587\/252)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 15*x**2 + 2*x - 1. Suppose -i + 3*p = -14, 4*i = 5*p - 37 + 65. Calculate j(i).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -24, -54, -96, -150?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7612 + -7521. Calculate the remainder when 548 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s**2 + 18*s - 12. Let r(t) be the first derivative of 2*t**3\/3 + 17*t**2\/2 - 12*t - 3. Let a(b) = 5*p(b) - 6*r(b). What is l in a(l) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w + 24. Let y be (-446)\/(-6) - 16\/w. Let s = 78 + -63. What is the highest common divisor of y and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 t, and 1 j when three letters picked without replacement from {a: 1, v: 2, l: 2, t: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-336)\/(-6))\/8 + 34. Suppose 129 - g = 22*b. Solve 0 = 6*z + b + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 34 = -4*j, 0*n + 13 = 3*n - 5*j. Let p be (2 - 3\/n)*2. Suppose p*w - 5*k - 20 = 2*w, k - 12 = -3*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 2*q**2 + 516*q - 2506. Give j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 6\/(-14) - 996\/(-21). Suppose 4*f + 4*n = -596, -15 = r*n - 44*n. Is f less than or equal to -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q**2 - 2*q**2 + 1 - 6 - 2*q**4 + 4 as p*q + o*q**2 + t*q**4 + r*q**3 + v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 3*h**4\/2 - h**3 + 37*h**2\/2 + 40. What is the second derivative of i(m) wrt m?\nAnswer: 36*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1\/7, 9 in increasing order.\nAnswer: -2, 1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -2*w - 3*v + 5798, -14495 = -5*w - 2*v. Suppose 12*l + l - w = 0. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - 0 - (-15 + 21 - 55)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 36995347591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/25 and 33\/1099.\nAnswer: 27475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((6516\/(-10))\/9)\/((-4)\/5). Let p = 91 - k. Which is greater: 0.63 or p?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-45)\/(-90))\/(-10*(-3)\/(-57)). Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 12 = -11*l. Let f(m) = -2*m + 9*m**2 + 4*m**2 + 6*m**2 - 20*m**2. Let n be f(0). Solve n + l = 2*u + b, 8 = -2*u + 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -5*r**2 + r - 4. Let d(z) = z**2 - z - 1. Let t(f) = 4*d(f) - x(f). Let m(g) = -3*g**2 + 2*g. Give 11*m(c) + 4*t(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190) + -1*(sqrt(190) + (1*sqrt(190) - sqrt(190)) - sqrt(190)) - sqrt(190)) - sqrt(190)))\/(-4*sqrt(40)\/sqrt(4)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 9:15 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108199 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 5221 divided by 1.\nAnswer: 5221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/180 and 40\/529323.\nAnswer: 31759380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -135, -268, -401, -534, -667?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1058 - 623. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.388 and 29450284843.2.\nAnswer: 29450284842.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, w: 1, g: 2, x: 1, e: 1, y: 1}. Give prob of sequence mwex.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 32997, -2 in decreasing order.\nAnswer: 32997, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 166252524 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 0.2, 1\/9, 0.01, -0.04, 177.3?\nAnswer: 177.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 493 = 439. Solve 0 = o*u - 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = v. Let l be (2 + v)\/(-1) - 3. Let n = 0.698 - -0.302. Which is the biggest value?  (a) l  (b) n  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 0.5, -3244, -5, -1\/4.\nAnswer: -3244, -5, -1\/4, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 3:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1906, -1992, -2130, -2314, -2538, -2796, -3082, -3390?\nAnswer: -3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*c + 57*c - 401352 = 0. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 128 = 5*j - j, 2*m - 181 = -5*j. List the prime factors of (-4)\/10 + 1064\/j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -8, -3, -4\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 22*u**2 + 13*u - 4. Let l(a) = 21*a**2 + 12*a - 3 + 0 + 0 + 0*a. Let i(k) = -4*l(k) + 3*t(k). What is the second derivative of i(b) wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 19*h + 1197. Calculate c(-71).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*4\/(12\/(-3)). Solve -11*x + 30 = -z*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 4*l + 1. Let d be z(4). Let t = d + -8. Let b = t - -8. Solve b - 26 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 take away -61063.8598327?\nAnswer: 61094.8598327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1051, 0.09, -0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 5 + 27. Suppose 3*z - t - u = t, -5*z + 14 = -3*t. What are the prime factors of ((-9 + 1)\/z)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m**2 + 5. Let k(h) = -6*h**2 + 1 + 0*h**2 + 8. Let s(b) = -9*f(b) + 5*k(b). Let r(y) = 45*y + 54*y - 92*y. Calculate s(r(c)).\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 4, -11, -6 in ascending order.\nAnswer: -11, -6, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*s + 40 + 145 = 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-24))\/((-22)\/8) + (-8)\/(-1056).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**3 + 2*r**3 - 12*r**3 + (4*r**2 + 8*r - 8*r)*(-14 + 14 + 4*r) + 0*r**3 - r**3 + 3*r**3)*(31*r + 37*r + 25 - 70*r).\nAnswer: -28*r**4 + 350*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(-12) + 285\/4 is divided by -3 + (-45)\/(-3) - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 8*h + 110. What is s(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/2 - 3860*u + 2597889\/2.\nAnswer: -(u - 323)*(u + 8043)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 14*i**2 - 9. Let j be a(-14). What is the common denominator of 2\/(-12)*(-371)\/(-336)*j and -91\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -196, -233, -290, -361, -440, -521?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 6*s + 38*s**2 - s**3 - 44*s**2. List the prime factors of y(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541*n - 123*n + 10068 = -130*n + 305*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(12)\/(sqrt(4) + sqrt(196)))**2 + (sqrt(147) - 3*sqrt(147)) + ((2 + sqrt(108))**2 - sqrt(3) - (-4 + sqrt(18)\/sqrt(6))))*-4.\nAnswer: 128*sqrt(3) + 7427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 12263*o**2\/2 - 9455*o - 7699. What is the first derivative of y(f) wrt f?\nAnswer: 12263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - 1.2. Let q = 0.081 - 0.061. Let n = -3.98 - q. What is the nearest to -0.2 in l, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 54 = 3*k, 0 = k - 8*q + 3*q - 6. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-153)\/(-102)*(-2)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-446)\/(-18) + 3*8\/108. Find the common denominator of -48\/5 and ((l\/6)\/1)\/((-8)\/32).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.83 - -0.17. Let t = 2\/439 - 892\/3073. What is the third biggest value in 5, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*w - w - 77 = 0, 4*q - w - 233 = 0. What is the remainder when q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 + (2 - 2*9\/(-6)) is divided by 13\/4 - (-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, n: 5, g: 1, a: 5}. Give prob of picking 1 a, 1 n, and 1 b.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 3*r + 5*r)*(-8 + 1198*r**2 + 1190*r**2 + 51*r - 2386*r**2).\nAnswer: 8*r**3 + 204*r**2 - 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 10:52 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**5 - 690*f**4 - 59856*f**3 - 59168*f**2.\nAnswer: -2*f**2*(f + 1)*(f + 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, a: 1, s: 1, p: 2}. What is prob of picking 1 a, 1 h, 1 s, and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -8*a**2 - 14*a - 2. Let i(l) = -l**2 - l. Let k(c) = -c**2 + 62*c - 335. Let p be k(6). Give p*y(b) - 10*i(b).\nAnswer: 2*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -27259 and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-5)\/20) - -58. Let j = c + -33. Suppose 144 = j*z - 27*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26021 - -14683. Let o = 15921 + z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-32)\/35)\/((-4)\/10) and -3 + (88\/20 - 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1617360 by 30.\nAnswer: 53912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*g + 44. Suppose d - 2*b = 5 + 11, -3*b - 3 = 2*d. Let p = d + -2. What is the highest common factor of g and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2. Let a(j) be the first derivative of -1\/6*j**4 + 3*j - 4 + 0*j**2 + 0*j**3. Let z(p) be the first derivative of a(p). Give z(h(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -8. Suppose 3*h = -3*w, -2*h + 0*w + 5*w = -14. Calculate the remainder when i is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1674682 minus -185676?\nAnswer: 185676.1674682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = l + 2, 0*l + 4 = -3*o - 2*l. Suppose 0*z = -z + 3*b + 17, o = -5*b - 25. Suppose 2*s = -z*s - 29200. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -34\/7, 0.5, 3 in descending order.\nAnswer: 3, 0.5, -0.1, -34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7050.226192 rounded to one decimal place?\nAnswer: 7050.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 359 + 403)*(0 + 2 - 4)*(-4*p**2 + 1 - 1).\nAnswer: 5872*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 + 43 + 3)*(-2 - 3 + 6)*(-3*l + 3*l - l**2) - l**2 - 8*l**2 + 3*l**2.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 4*g**2 - g + 1. Let t be (-27 + 0)\/((-12)\/(-8)). Let o be (t\/15)\/(4\/(-10)). What is the least common multiple of p(o) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-1\/6)*m)\/m)**26\/((m\/(m\/m**(-2\/11)))\/((m*m\/((m\/m**3)\/m*m)*m)\/m)))**24 assuming m is positive.\nAnswer: m**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -21780*j. Let q(c) = 5255*c. Calculate q(r(z)).\nAnswer: -114453900*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nuw when three letters picked without replacement from {u: 4, n: 2, w: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -1. Suppose v = -o + 2*o. Solve 0 = -2*u + o*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1522063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 2579 and 2579 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-2 - (-588)\/(-42)) + 172\/24\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-l**2 + 2*l**2 + l**2)*(3*l - 5*l + l) + l**3 + 1 - 1 - 4*l**3 + 5*l**3 - 4*l**3)*(-2 - 2 + 3).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g - 26. Let v be r(-17). Suppose 5 = v*z - 7*z. Suppose -z*j + 32 = 3*y, 4*j + 11 - 67 = -4*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*w = 6502 - 7782 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u**2 - 678*u + 1362. What is h(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-4))\/(15 - 885\/60 - 1). Let c(h) = 4*h - 4. Let g be c(-6). What is the closest to v in 0.5, g, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o + 28. Let c be k(14). Suppose 26 - 8 = -3*g - 3*r, -3*g - 5*r - 18 = c. What are the prime factors of -1 + 3\/(-3) + g + 117?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/3  (b) -7\/4  (c) -2  (d) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*u**3 + 3035*u**2 - 3035*u**2 - u - 318*u**3.\nAnswer: -602*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/(-77) - 2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 7*l**2 - 3*l**2)*(-600*l + 457*l - 825*l)*(2*l**2 + 2*l**2 - 6*l**2).\nAnswer: 3872*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssuusuusse. What is prob of picking 1 s and 1 u?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 1172875*l - 9 + 108984*l.\nAnswer: -1063891*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -17*k**5\/5 + 9*k**2 + 21. What is the second derivative of y(z) wrt z?\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 722229890 to the power of 1\/2, to the nearest integer?\nAnswer: 26874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 5*d + 36. Suppose 14 + d = 5*r. Calculate the remainder when ((-29)\/(-2))\/((-1)\/(-2)) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60905531\/226*4\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27393 is divided by 229.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 5*y + 1705, -1023 = -23*y + 26*y - 4*w. Let d = -306 - y. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d + 12 + 11 + 18 - 43. Let s be x(-7). Find the third derivative of 11918*q**3 + 46*q**2 + 17*q**s - 11918*q**3 wrt q.\nAnswer: 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1264*g**3*w**3 - 3*g**3*w**2 + 33*g**3 - 7*g**2 wrt w.\nAnswer: 7584*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -17*k**3\/2 + k**2\/2 + 2*k. Let h be j(3). Let l = h - -339. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j + 3*j + 34*j)*((0 - 2 + 1)*(-3 + 2*j + 3) + 0*j - j + 0*j).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -379.0000512 - -379. What is h rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dqnffgfndxgff. Give prob of sequence xq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 506*m + 475*m + 1 - 1022*m.\nAnswer: -41*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22151*m - 26784*m - 15585*m + 9246*m.\nAnswer: -55274*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -602 + 4.4.\nAnswer: -597.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 304*x**2 - 7 + 0 - 18*x + 8*x.\nAnswer: 304*x**2 - 10*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -41, -62, -97, -152, -233?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 19268541?\nAnswer: -2\/19268541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244347?\nAnswer: 3, 79, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 3*d + 2, -3*d + 3*o - o = 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -43307*0.044\nAnswer: -1905.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -ab80 + 9?\nAnswer: -ab74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 0.045  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 43 + 49 = 0, -5*x + 2*a + 26 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -4*c + 6*c + 35, -5*c = 5*f. Suppose 7 + 15 = 2*b. Suppose -f*m = -6*m - b. Let i(a) = a + 5. Give i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = -41*z + 214. Let u(h) = -12*h**2 - 2. Let s(p) = p**2. Let y(b) = 6*s(b) + u(b). Calculate y(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.7 - 8.7. What is the second biggest value in -0.3, t, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453762.5109 plus -0.279?\nAnswer: 453762.2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-2 - -1 - (-3 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -170521 + 170514.00039. Let b = 1 + -8. Let h = k - b. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 0*g**2 - g**2 + 21*g**3 - 12*g**3.\nAnswer: 3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009661178 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -13, -2, 3, 4, -1, -14517 in descending order.\nAnswer: 4, 3, 0, -1, -2, -13, -14517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -269425*i - 103602 wrt i.\nAnswer: -269425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**4 + z**4 + z**4 + (0*z**4 + 9*z**4 - 4*z**4)*(-2 - 1 + 6).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 10 - 16. Suppose -2*n - 16 = 2*x, -x + 14 = -j*n - 5. Let q(u) = 2*u**2 + 14*u + 13. Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 0.0351041 in increasing order.\nAnswer: -2, 0, 0.0351041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23254180139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 7*p**2 + 8*p. Let x be t(-6). Let i = -8 - x. Solve 0 = -4*y - 3*z + 22 - 0, -i*y = 2*z - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-5) - 0) + -1. Let a = -6266 + 6261. What is the closest to f in -1, a, -16\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64211186 to the power of 1\/2, to the nearest integer?\nAnswer: 8013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (0 - 2 - (13 + -19)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -246 - -447. Suppose -119 = -10*l + q. Suppose 5*b + 3*g = 324, 5 = 5*g - 10. Calculate the remainder when b is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w + 6*w - 33 = -4*p, -w = -3*p + 26 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4))**31\/(d\/(d**0*d))**(9\/8) assuming d is positive.\nAnswer: d**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -811 - 149. Let z = -594 - m. Suppose 89 = l - v, 4*l + 3*v - z = -24. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, a: 4, b: 1, f: 1, t: 6}. Give prob of sequence fa.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -1\/8, 0.5 in decreasing order.\nAnswer: 63, 0.5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/5  (b) 2\/35  (c) -636\/385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2980 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 48 * -0.2\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -w*y**2 + 128*w*y + 41*y**2 + y wrt y?\nAnswer: -2*w + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 392 and 280574.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0 + 5 = 0. Is ((-13)\/26)\/(w\/(0 + 850)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**4 + 33*v**3 + 34*v**2 = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.06  (b) -5  (c) -26  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 7:01 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3, 2\/11, -163\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/10685 or 0?\nAnswer: -3\/10685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 q, and 1 h when three letters picked without replacement from {h: 6, v: 6, p: 3, q: 4}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 4 + 14. Suppose -5*g + 4*a + 41 = 0, -27 = -3*g - s*a + 6*a. Let v(j) = j - 5. What is v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 571570198 to the power of 1\/2, to the nearest integer?\nAnswer: 23908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5034.92km to millimeters.\nAnswer: 5034920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 10:15 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 5) to base 11\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 + 2*m**3 - 48 - 44 as y + s*m**3 + p*m**2 + k*m and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -9. Suppose 0 = v*o - 7 - 1. Suppose -o*j - 6 = -22. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -15, 21 in descending order.\nAnswer: 21, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -308*z**2. Let v(m) = -m + 3. Let r be v(1). Let i(n) = 3*n**2 - 6*n**2 + 2*n**r + 5*n**2 - 3*n**2. Give w(i(h)).\nAnswer: -308*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + k + 2*k)*(0 - 2 - 2)*(-12*k - 9*k + 4*k).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 54125, 108249, 162373, 216497, 270621, 324745?\n\"Answer: 54124*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.1, -4, 3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -40*x**2 + x**3 - 4 + 0*x + 2*x + 45*x**2. Let z be k(-4). Solve z*m + 20 = -0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*f**4 - 14*f + 2*f**4 + 11*f**4 + (-1 - 1 + 1)*(-f**4 - 2 + 2).\nAnswer: 3*f**4 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from deddeeaeeeaeedaeeeea. Give prob of picking 1 d and 3 a.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -h**4 + 242*h**3 - 7325*h**2 + 52624*h = 0.\nAnswer: 0, 11, 23, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16744\/84 - (-40)\/(-30). What is the highest common divisor of a and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -8.2. Let o = 1.234 - 0.034. Let r = o - b. What is the second biggest value in -0.3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**2 - 398*q + 14223 = 0 for q.\nAnswer: -431, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - 8*q - 17. Let c be n(-2). What is the remainder when 50 is divided by (-119)\/c - 8\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4*y**2. Let u be r(-1). What are the prime factors of ((-170)\/40)\/((-1)\/u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -5*i**3 - 7*i**2 + 4*i + 5. Does 31 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 10*t - 13. Let m be l(-9). Which is the nearest to 1?  (a) m  (b) 4  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x - 2. Let j(r) = -2*r - 35. Let w be j(-8). Let t be k(w). What are the prime factors of 66\/7 + (-12)\/t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 5*g - 0*y + 25, 0 = -2*g + 3*y - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*h + z, -2*h - 3*h + 4*z = -33. Suppose -10*i = -h*i - 2475. Suppose i = 10*k + k. Is 45 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 6. Let h(x) = -49. Let a(r) = -39. Let q(i) = 5*a(i) - 4*h(i). Let b = -36 - -31. Calculate b*q(z) + s(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 590.\nAnswer: 3\/590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 8*g - 39. Solve g*t - 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, k: 2, i: 1, q: 1}. What is prob of sequence mi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0831814 to 3 decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-130*5\/(-150))\/(-1)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 7*c**3 - 792*c**2 + 3141*c + 2169. Determine u(109).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 94253597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 9*q**6\/40 - 4*q**5\/5 + 5*q**4\/8 + q**3 + q**2\/2 - 7. Let d(u) be the second derivative of h(u). Find r, given that d(r) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - n**2 - 6*n - 4. Let r be o(-1). Let u(p) = 57*p - 14. Is u(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9925.8 - 51.82?\nAnswer: 9873.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 178 - 192. Find the common denominator of (-13)\/(-30)*(-4 + (-91)\/j) and -75\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 77.61394 - 77.6. Round c to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 208 = -3*v. Suppose -13*l - 2*l + 105 = 0. What is the remainder when v is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -5*l + 4*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/22 and -101\/2128852.\nAnswer: 2128852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u + 19. Let w(x) = 3*x - 57. Let o(i) = 11*a(i) + 4*w(i). Let f be o(14). Let r(t) = t**3 + 6*t**2 + 4*t + 1. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -6*t**2 - 3*t - 5. Let q(d) = d**2 + d + 1. Let w(v) = -o(v) - 5*q(v). Factor w(x).\nAnswer: x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7\/2669 + -20265682\/13345. Let f = -1512 - i. Factor 18\/5*h**2 + 18\/5 + 3\/5*h**3 + f*h.\nAnswer: 3*(h + 1)*(h + 2)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -108.26, 1 in descending order.\nAnswer: 3, 1, -108.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -218, -210, -186, -146, -90?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -11 - 12) + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61972 by 52.\nAnswer: 15493\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 7 - 23 = 0. Let j be 2\/(-2) + 18\/b. Let h be j\/10 + 62\/40. Is h less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 2*m + 25 = 0, 0 = -2*f + 5*m + 10 - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 15 = 0, 495*l + 3*t = 496*l - 16 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -719 * 0.4.\nAnswer: -287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4817201903 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -976, -1\/209, 1 in descending order.\nAnswer: 1, 0.3, -1\/209, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 34356111 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 3*o**2 + 3*o - 8. Let a be v(-8). Suppose 11*s - 5*s = a. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -871 + 871 + p**2 + p**2. Let w(b) = 6*b. Let m(z) = -z. Let o(d) = -3*m(d) + w(d). Calculate o(j(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from {o: 5, k: 7, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m - 7. Let h(d) = -3*d + 2. Let v(f) = -7*h(f) - 5*u(f). Suppose 2*i + i = -2*w - 35, -w = -2*i - 21. Is v(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -57696038*z - 36790065 wrt z.\nAnswer: -57696038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**6\/45 + 6*r**5\/25 - 9*r**4\/10 + 6*r**3\/5 - 178. Determine g, given that k(g) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 - 4 - 1*-3. What is the remainder when 47 is divided by -2 + 1 - -20 - l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a - 35. Let q be m(-11). Let g be 2 + (-20)\/8 - (-291)\/q. Let t = 209 + g. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-8)*4\/(-12))\/(3\/10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*t = -45. Let v be (-4)\/(-2) - (-1 + -6). What is the greatest common factor of v and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10020002111 (base 3) to base 5.\nAnswer: 4012430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44*p**2 - 93*p**3 + 9*p**2 + 81*p**3 - 9*p**2 wrt p.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, l: 2}. What is prob of sequence all?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(5) + sqrt(20)\/sqrt(4) - sqrt(15)\/sqrt(48))**2.\nAnswer: -14*sqrt(5) + 501\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3003302 - 2?\nAnswer: 3003300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 5*p - 1. Suppose 0*d - 7 = -4*z + d, 10 = 5*z - d. Let g be b(z). Suppose -5*s + 127 = -4*n, -n + g = 3. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12530391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(363))**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - ((17 - (-3 + 6 + -8)) + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 - d + 2. Let n be r(0). Suppose 4*i + 36 = 5*c, 2*i - 78 = 7*i + n*c. Is 15 a factor of (i\/3)\/((-1)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/9  (b) 1  (c) -0.3  (d) -4  (e) -0.15  (f) 4\/295  (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 3) + 159 + -168\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4159 + 4162. Put -0.1, 2, -2\/3, -6\/25, c in descending order.\nAnswer: c, 2, -0.1, -6\/25, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 1 - (7 + -6). Is -2\/7 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -10. Let j(q) = -q + 2 + 15*q**2 + 13*q**n + 3*q. Is 14 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 277 = r - 41, -4*j + 264 = 4*r. Suppose t - 4*s - 78 = -2*s, t + 3*s = j. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.14545 + 1.\nAnswer: 1.14545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.07 and -1.9786.\nAnswer: -0.9086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + u + 0*u + (0 + 0 - 2*u)*(-3 + 5 - 1))*(1 + 8*u**2 - 2*u + 2*u**3 - 8*u**2).\nAnswer: -6*u**4 + 6*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 121*w = 14*o - 242, o = -w - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*i**4 + 1282861*i**2 + 48534551 with respect to i.\nAnswer: 32*i**3 + 2565722*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -111 + 29 + 45 + 36. Let u(d) be the second derivative of -d**3\/6 + d. Give -u(f) - 2*w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70 divided by 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1971 = 49*u - 3*u - 1373 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -335.3?\nAnswer: -335.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 9*g + 2*g)*(-3 - 1 + 2)*(-3*g + 0*g + g) + 0*g + 0*g - 2*g**2.\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 <= 2\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*v - 40*v - 57*v = -6195. Solve o = 6*o + 5*t + v, 5*t = -2*o - 29 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 1 + 3 = -2*b, -10 = 2*b. Suppose u*t = 3*f - 35, 5*f - t = -0*t + 30. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2300 and 690.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2. Let a(s) = 35*s**2 - 92*s + 92*s. Give a(w(g)).\nAnswer: 140*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2 + -6*(-1 + (sqrt(432) - sqrt(432)*3)**2).\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 + 18\/8. Let b(z) = z**3 + 7*z**2 + 5*z - 4. Let l = 4 - 10. Let s be b(l). Is n at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 86. Let s = -39 - j. Solve s*b - 15 = 0, b + 5 = -2*w + 4*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 4*z - 20, g + z + 5 = -0*g. Suppose g = -3*k + 6*k + 18. Let j(t) = -t**3 - 6*t**2 - 5*t + 1. List the prime factors of j(k).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 185278634 to the nearest integer?\nAnswer: 13612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 5*r**2 + 3*r + 1. Let p(h) = -24*h**2 - 12*h + 60. Let a(i) = p(i) + 4*q(i). Let a(v) = 0. What is v?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 1ab?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 205547 and 205547 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((8\/14)\/(-4)). Let m(y) = -6*y**3 + 3*y**2 - 6*y - 8. Let p be m(-1). What is the highest common factor of t and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(1 + -2) - (8 - 9). Solve 2*b - h = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 326716 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -6*y - 3. Let j(t) be the third derivative of t**4\/8 + t**3\/6 + 1131*t**2 + t. Let r(n) = 3*n**3 - n - 1. Let g be r(-1). Determine g*v(k) - 7*j(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 2*a = 2040. Suppose 7*v - 10*v = -a. Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -939c (base 13) to base 5.\nAnswer: -1123114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*g = -2653 - 1818 - 355 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 76854, 76773, 76692?\nAnswer: 76611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(539))*-5)**2 + 3*(1 + sqrt(539)).\nAnswer: 371*sqrt(11) + 13503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 22*a + 1. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d - 3*d + 3*d - 29*d - 71*d - 69*d + 3*d + d - 2*d + (5*d - 6*d + 0*d)*(3 - 5 + 3) + 3 - 3 + 2*d.\nAnswer: -169*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 2184.56 to the nearest 10.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3 - 4) + 58 + -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62 - 66 - 93 - 2*i to the form p*i + z and give z.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 11:58 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 727701998.\nAnswer: 2, 31, 11737129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000936383 to 6 decimal places.\nAnswer: -0.000936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 + 53646.38637471.\nAnswer: 53646.30637471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -259519*a**2 + 4576761 wrt a?\nAnswer: -519038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n - 13. What is w(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 79844036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3688489245?\nAnswer: 3, 5, 7, 35128469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -4. Let p = 6.3 - d. Let r be (6\/(-4))\/(2\/4). Which is the smallest value?  (a) r  (b) 0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jrrmmbmmijxxxrrbxbrm. Give prob of picking 1 b and 1 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 56 = -30*m + 31*m, 5*m - 120 = -5*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -474215745, -948431490, -1422647235, -1896862980, -2371078725?\n\"Answer: -474215745*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, e: 1, v: 1, j: 2, z: 2, r: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 + 1)*(10*g**4 + 5*g**4 - 5*g**4) in the form d*g**2 + n*g**3 + u*g**4 + a*g + p and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d. Let l = 18 + -12. Let c(t) = -8*t**2 + 7*t. Let f(v) = 8*v**2 - 6*v. Let o(n) = l*c(n) + 7*f(n). What is o(h(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pepopmmmppqxmomp. Give prob of sequence ep.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, h: 3, i: 4}. What is prob of picking 2 g?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/459 and (-1090 - -1087)*(-10)\/459.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025 less than or equal to -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5011 (base 9) in base 2?\nAnswer: -111001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 252b (base 12) in base 8?\nAnswer: 10163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -271849 * -10.\nAnswer: 2718490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -u + 4*m - 5*m, 5*u + m - 16 = 0. Let n be (3 - u)*(-2)\/4. Sort -0.1, n, -0.5 in increasing order.\nAnswer: -0.5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbp when three letters picked without replacement from pzffb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/4 - 1317\/(-12). Let b be (-7)\/((-5)\/(150\/21)). What is the highest common factor of g and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (30\/(-6) - -5) + 2. Suppose -2*c = -8 - 8. Differentiate -4*a**4 - c*a**4 - b*a**4 + 5 - 20 wrt a.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456102197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*r**2 + 4 - 94*r**2 - 2 - 15*r**3 - 12*r**3 + 47*r**3.\nAnswer: 20*r**3 - 217*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -16329741 divided by -10149?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10790 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 - 1)*(-369*d + 185*d + 1023*d)*(-3*d + 4*d - 3*d) as q + y*d**2 + g*d and give y.\nAnswer: 5034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12095342 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 93 or 0.01535?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -437 + 13*t**2 + 16*t**2 - 27*t**2 + 212 + 225.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2 - 27720*i = 0. Calculate i.\nAnswer: -27720, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -205 + 207. Let u be (-920)\/(-299) - 1\/13. Factor 4\/3*n**k - 2\/3*n**u + 0*n + 0.\nAnswer: -2*n**2*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 79 - 141d5?\nAnswer: -1415c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 51*d + 2709. Calculate u(-55).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 18, 36, 60, 96, 150, 228, 336?\n\"Answer: c**3 - 3*c**2 + 20*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-265 - 220 + 126)*(4 + 3 - 1)*(1 - 1 - 2*s).\nAnswer: 4308*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*i**4 + 2*i**3 - 2*i**3)*(-i + 3*i - i + (-1 - 2 + 1)*(2*i - 2*i + i)).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (5*1*sqrt(68))**2)*6.\nAnswer: 10194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6170.1363 times -1\nAnswer: -6170.1363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 30*z - 148. Let u be y(5). Solve 0 = 3*l - 4*q + 6, l - 7*q = -u*q - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j**2 + 5*j**2 - 16*j**2 + 4*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5442 - 4122?\nAnswer: -12564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-4 + sqrt(891)) + (sqrt(539) + -4)*2)*6)**2 + -3.\nAnswer: -12672*sqrt(11) + 193965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 5) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 79141 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/6)\/(y\/y**(-1\/40)))**(-32) assuming y is positive.\nAnswer: y**(572\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 886419*h**2 - 443212*h**2 - 443203*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h - h + 7*h - 139 + 139.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -18*u + 42 - 108 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23740307982978 minus 0.4?\nAnswer: 23740307982977.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 57d2a (base 14) in base 7?\nAnswer: 1550353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22766255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-35)\/5 + -1. What is v rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -3 + 2 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 7*u - 144 = 0. Let m be 3*(-6)\/(u\/(-20)). Which is smaller: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 92.56 * -2.505\nAnswer: -231.8628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258330 is divided by 1954.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 267*g + 36*g - 102*g - 22. What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.06 + 2.86. Let i = 0.5 + r. Suppose -2*u = 2*u - 3*s - 12, 2*u - 5*s = -8. What is the nearest to u in 5, -4, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/25*2*-5. What is the hundreds digit of (4710\/9)\/i + 6\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, b: 3, v: 4, p: 2, g: 1, f: 2}. Give prob of picking 1 g, 1 f, 1 v, and 1 y.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6188*n**2 - 6*n**3 - 6188*n**2)*(1 - 1 + 1).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence opzg when four letters picked without replacement from izipzog.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 12*s**2 + 265*s + 52. Let j be p(-22). Calculate the highest common divisor of j and 9480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 1)*(-16760*y - 12 + 12 + 21824*y).\nAnswer: -15192*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/3)\/((-104)\/468). Let v be (4 + 114)\/((-2)\/q*3). Which is smaller: 58 or v?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39 + 41. What is the highest common factor of 16 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6.5 in 1, 0, -0.4, 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -15. Suppose 0 = t*m - 4*d - 15, -5*m + d = -12 - 13. Let x = 1 - 1. Solve -m*v + 7 - 22 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(742\/(-49))\/(168\/(-294))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, -20, -2\/3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5098 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -4, -3, 4 in increasing order.\nAnswer: -4, -3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-58)\/10 + 1\/(-5). Let h be -1 + 13 + (1 - 0). Let o = c + h. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1.042989 decades?\nAnswer: 10.42989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 9:43 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8940\/(-6258)*(-231)\/(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -510 + 510.5. Let m = 1.04 - 0.14. Let i = n - m. Which is the nearest to i?  (a) -3\/5  (b) 5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of d**6\/120 + 19*d**5\/120 - 4*d**3 - 4. Let t(o) be the third derivative of q(o). Find the second derivative of t(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(-3) + -6)\/(-1). Calculate the greatest common divisor of 70 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*((-3164)\/(-3612) + (-3)\/9). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-4) + (-4)\/(-8) + -1. Solve y*s + 25 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*j**2 + 2*j - 2\/3*j**3 - 4\/3.\nAnswer: -2*(j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/4 + 377873*n\/4 + 1228045.\nAnswer: (n + 13)*(n + 377860)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -50*w - 52*w**2 - 44*w**2 + 142*w**2 - 31 + 7 - 48*w**2. Determine u(-25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389517 is divided by 666?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -348.3 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j. Let t(k) = 48*k. Let c(f) = 80*n(f) - 2*t(f). Let s(x) = -3*x. Suppose 0*i + g + 4 = i, 3*i = -3*g. Calculate i*c(y) - 11*s(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, m: 5, e: 5, z: 3, c: 2}. Give prob of sequence wm.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 1. Let f be t(-2). Let c = f + 11. Suppose 0 = -6*g + 2*g + c. Solve 0 = g*r - 0 - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*b = -3*m + 8, -m = -4*b - 20. What is the second derivative of -13*g**3 - 3*g + m*g - 7*g - 5*g wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9781295174 rounded to four dps?\nAnswer: -0.9781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 8, g: 7, t: 2, m: 3}. What is prob of sequence gttm?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 17 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*((2*sqrt(363) + -1 - sqrt(363)) + sqrt(363) + -1).\nAnswer: -264*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 388847157 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - 0. Which is the smallest value?  (a) 0  (b) -5\/7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -6  (b) 2  (c) 2\/17  (d) -2\/7  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(3040\/(-23924)) + -8 and 107\/110.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*t + 11*t + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6742*p = -3016*p - 33534 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6072\/16)\/11)\/(((-9)\/5)\/((-5)\/25))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 420 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -463711.\nAnswer: 15\/463711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvcovqq. What is prob of sequence vqc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10128384 and 10990.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4499?\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p. Let m(b) be the third derivative of 0 + 0*b**3 - 7\/8*b**4 - 5*b**2 + 0*b. Determine m(v(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n**2 + 39*n + 7. Let g(f) = 3*f**2 + 24*f + 9. Let q(i) = -i**2 + 2*i - 4. Let w(l) = -g(l) - q(l). Calculate 5*a(y) + 7*w(y).\nAnswer: y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 9. Let d be ((-27)\/(-12) + -2)\/(-1). Which is the closest to 0.1?  (a) 0.3  (b) k  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0*u - 21 = 4*w, 4*u - 24 = 2*w. Let p(i) be the first derivative of -i**3\/3 - 3*i**2 + 3*i - 2. List the prime factors of p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*k**3 - 14*k**3 + 44*k**3 + (2*k + 1 - 1)*(0*k**2 + 4*k**2 - 3*k**2) - k**3 + 5*k**3 - 2*k**3 + 3*k**3 + k**3 - 2*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 90 and -74.\nAnswer: -6660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 3*q**2 - 77 + 28.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -0.5, 3\/8.\nAnswer: -0.5, 0, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311*46\/138*(0 + 3) is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6133185 to the power of 1\/2, to the nearest integer?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(480)\/sqrt(10) - sqrt(12)))\/(sqrt(400)*2*-3 + sqrt(400)).\nAnswer: sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 2.419  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53 - -59. What is the units digit of (7 - (-1347)\/1) + v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1772063 is divided by 864?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of 0*f**5 + 0 + 0*f + 35\/24*f**4 + 0*f**3 - 11\/30*f**6 + 99*f**2. What is the second derivative of u(o) wrt o?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 4*h - 7, 0 = 4*h + 4*y + 10 - 18. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 24 = 4*w + w, -3*z + 2*w - 13 = 0. Suppose 35 = -q + 5*q + 5*o, o = 3. Let h = -7 + q. What is the nearest to z in -0.3, -5, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -2648.\nAnswer: -3\/2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 116986661893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*m**4\/3 - 373*m**3\/3 - 503*m**2\/3 - 34*m = 0 for m.\nAnswer: -1, -1\/4, 0, 102\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17255843 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 12 + 36 = 4 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -950522 - -5722519\/6. Let u = x - 3239. Let h = -2\/16307 - 1483925\/97842. What is the common denominator of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -141, 237, 4 in descending order.\nAnswer: 237, 4, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2 + 677*c - 2. Let f(m) = -581*m. Calculate f(v(x)).\nAnswer: 1162*x**2 - 393337*x + 1162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2420)\/132 - ((-8)\/(-3))\/(-2). Let k(m) = -3*m - 6. Let v be k(z). Is 17 a factor of (292\/20 + -1)\/(6\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.995894 grams to milligrams.\nAnswer: 7995.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5359614 months in decades?\nAnswer: 0.004466345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1213 and 2872.\nAnswer: -348.3736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, -0.079, 0.5, -28, -5?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1993129542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -139.\nAnswer: 11\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(108)*2) + (sqrt(7) + (1*sqrt(63))\/sqrt(9) - (1 + sqrt(7) + 5)).\nAnswer: -6 + 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 19  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1071072 - -70694729\/66. Let k = o - 121\/2. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddddddbbdbddddd. Give prob of picking 1 b and 2 d.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 0*b**2 - 5*b + 5 + 5\/3*b**3. Factor h(d).\nAnswer: 5*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0707 to three decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -805*f**5 - 1069*f**5 - 765*f**5 + 665*f**2 + 666*f**2 wrt f?\nAnswer: -158340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -131, -139, -153, -173, -199, -231, -269?\n\"Answer: -3*m**2 + m - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 3, -3, 0, 46 in decreasing order.\nAnswer: 46, 3, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q. Let k(b) be the second derivative of 25*b**4\/2 - 556*b. Calculate k(y(l)).\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 - -12*(3 + 1 - -56)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.673 rounded to one dp?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.2  (c) -11  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8263 - -13042. List the prime factors of r.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1500)\/((-100)\/(-60)*4\/(-10)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41822?  (a) 0  (b) 5  (c) -2  (d) 3\/5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/37, -1\/6, 600, 4\/3, -1, -7 in increasing order.\nAnswer: -7, -1, -1\/6, -1\/37, 4\/3, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**7\/2520 - v**6\/144 + v**5\/30 - v**4\/4 - 36*v**2. Let f(k) be the second derivative of a(k). Give f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8613586 is divided by 2153390?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1230 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 16, -42*a + 38*a + 60 = -4*s. Sort 31, a, 0 in descending order.\nAnswer: 31, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 1. Let h = 20 + i. Let b(k) = -h + k + 8. Let o(p) = p. Give o(b(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 351*i**3 + 334.\nAnswer: 1053*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 1. Let q(g) = 7*g**2 - 5*g - 9. Let z(r) = 6*c(r) + q(r). Let k be z(6). Differentiate 2 - 2*h**k + 0 + h**3 wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.37 - -0.27. Let s = -0.1 - w. Let o be ((-4)\/(-50))\/(3\/(-15)). What is the biggest value in 3\/2, s, o?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 1:05 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 9*n**2 + 9*n - 5. What is the units digit of t(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2946281 minus 3.51?\nAnswer: -2946284.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3\/3 - 8293*c**2\/3 - 5678200*c\/3 + 18039507188.\nAnswer: -(c - 2031)*(c + 5162)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-1)\/39)*-39*114\/13338?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 460436 + 460432 + 119*b**3 - 115*b**3 - 920868.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -18  (c) 2  (d) -1  (e) -4  (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uvrravvhvv. Give prob of sequence ru.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -231111013 (base 5) to base 6\nAnswer: -34104141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 8:11 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.64, -1\/16, -7\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3\/4 + 5425*k**2\/4 + 22988*k + 21632 = 0. Calculate k.\nAnswer: -5408, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30*(4 + -2) + 7 + -6. Which is smaller: 60 or q?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/282886809?\nAnswer: 2\/282886809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17933 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-1)*w)\/w*w*w*w\/(w*w**10)*w)**(1\/24))**(13\/6) assuming w is positive.\nAnswer: w**(-91\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -441, -410, -379?\n\"Answer: 31*h - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/1)\/((-5)\/45). Let l(g) = g**3 + 11*g**2 + 13*g + 5. Calculate the least common multiple of 1 and l(j).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(3\/5)*r)\/r*r**(-3\/20)\/r*((r*r*r**11*r)\/r)**27 assuming r is positive.\nAnswer: r**(7029\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -109 + 111. Suppose -u + 6*u - a*j - 2034 = 0, 3*u = -j + 1227. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -14108 and -1424994\/101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of i**4\/4 - 3*i**3 + 9*i**2\/2 - 5*i + 1. Suppose 0 = q - 2*q + 8. Let y be z(q). Solve -2*o + y*o = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 + -40?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1475 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44755185?\nAnswer: 3, 5, 2983679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -84\/7335935 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 8:17 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) -1  (c) -5  (d) 0.008  (e) -0.7  (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*k**4 + 19*k**3 - 154 wrt k?\nAnswer: 8*k**3 + 57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t\/t**(-1\/8)*t)*t)\/t**9)**(2\/37) assuming t is positive.\nAnswer: t**(-65\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/(112\/(-12) - -6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 287471, 287424, 287363, 287282, 287175?\nAnswer: 287036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*((p**(-8\/13)\/p)\/p)\/p*p)\/p)\/p**18*(p\/(p*p**(-25)))\/(p\/(((p*p*p**(4\/3)*p*p)\/p)\/p)))**11 assuming p is positive.\nAnswer: p**(2882\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -338, 214592 in decreasing order.\nAnswer: 214592, -3, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, f: 7}. Give prob of picking 1 g and 1 e.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 435.7 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 48\/5, 181, 1, 2\/3, -4, 0.007?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/5 - -2)\/((-10)\/(-100)). Determine j so that 23*j**4 - j**5 - 4*j - 54*j**x - 13*j**2 + 0*j**2 - 15*j**3 + 24*j**4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -2457  (b) -0.4  (c) 3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004266988125 to seven decimal places.\nAnswer: 0.004267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/4, -0.06, 298?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -12 + (-22)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z. Suppose 0 = 4*g - u + 10, g + 11 = -2*u - 2*u. Let p be g + 2 + (4 - -3). What is the units digit of j(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23443417 - 2.363?\nAnswer: 23443414.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 - t**2 - 3*t**2)*(-4*t + t + 1 + 4*t) to v + f*t**2 + y*t**3 + b*t and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -v + 11, v = k + 3*v + 6. Suppose 4*j + 3*f - 124 = -42, -k*j + f = -74. Let g = j + 18. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1523  (b) -1\/3  (c) -4  (d) -0.01  (e) -0.2  (f) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -r**3 + 9402*r**2 - 281376*r + 2024352 = 0?\nAnswer: 12, 18, 9372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - 33\/(-6)) + (-24)\/(-16). Solve 4*v = t*o - 10, 4 = -3*o - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {p: 1, w: 4, i: 1, f: 5, u: 1, d: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0\/6)\/(2\/(-1)). Suppose 0 = -3*y - 4*z - 8, 2*y + 7 = -5*z + 2*z. Let r(o) = 2*o - 9. Let b be r(6). Sort y, 1, b, h.\nAnswer: h, 1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(-2\/5)*m*m*m))\/(m*m**8\/m)*(m\/(m\/((m**(-1\/7)\/m*m*m)\/m)))\/(m\/m**(-9)) assuming m is positive.\nAnswer: m**(-691\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20640095.\nAnswer: 5, 7, 589717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 351, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 13. Let z = h + -3. Suppose 2*j + 13*x + 1 = 14*x, j = 2*x - 8. Solve j*b = 4*g - 19 - 3, -z*g = 3*b - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 99923 - 59464. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c - 7*c + 24*c = 704. Solve -22*v = -14*v + c for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4159821 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5146507 - -14?\nAnswer: 5146523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 505 and 4040.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3*o**2)*(-3*o - 2*o + 7*o) - 4*o**2 + 4*o**2 - o**3 + o**3 + 0*o + 0*o + o**3 + o**3 + 3*o**3 + (-1 - o + 1)*(o**2 - 3*o**2 + 0*o**2).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40*85\/6800*8*-3*3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.007 * 1780\nAnswer: -12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -0.5, -0.86, -5, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.3 - 45538.86.\nAnswer: -45536.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/12 - (-13)\/4. Suppose 2*s = 6*s + f. Is 2.1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*b**5)*(144 + 298 - 8 + 135).\nAnswer: -1138*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/21  (b) -2\/579  (c) 2  (d) -1  (e) 13  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1481759 rounded to the nearest 1000?\nAnswer: -1482000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 7172.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43750 + 12754251.\nAnswer: 12710501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(2*1))\/((-27)\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - k - 68 = 3*k, -5*k = p + 1. Let d(l) = 22*l - 1075. Let r be d(49). Suppose p = o - 3*t, 0*t = -3*t + r. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) - (-1*sqrt(125) + 4)))*3 + -1*1*sqrt(125) + (-1 + sqrt(125))*1)**2.\nAnswer: -330*sqrt(5) + 1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 47 + 21 = 0. What is the greatest common divisor of 136 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*q + 2 = -3*q, -2*i = -3*q - 1. Suppose -i*o - 22 = 3. Which is the closest to 2\/5?  (a) 3\/8  (b) 1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 3*s**2 + 4*s - 1. Let a be ((-2)\/(-1) - 2)\/1. Let v be 3\/9*a - -3. Calculate the remainder when w(v) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130 and 3250?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 + n**2 - n. Let t(x) = -x**3 + 14*x**2 - 11*x - 24. Let j be t(13). Calculate the remainder when 57 is divided by c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367098245 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -48*m**2. Let r(y) = 201*y + y**2 + 202*y - 403*y. Calculate o(r(f)).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 26. Let a(s) = -s**3 + 11*s**2 - 12*s + 12. Let q be a(b). Let y = q - -13. Solve -3*n + y*o + 9 + 6 = 0, -3*n + 15 = 2*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1738550891 to the power of 1\/2, to the nearest integer?\nAnswer: 41696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -17, -1\/5, -218.92, 5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 725 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15870291649\/2134 + -7436875. Let o = d - 1\/194. Suppose -4*n + 2*n + 3 = 3*q, -4*q = -3*n - 4. Is n greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 22*o. Let u(m) = 20*m - 44*m + 25*m. Give u(c(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52 - -38. Let u = l + 17. Suppose -u*b = -0 - 72. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -16866\/5 and -3372 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 5*n - 45, 34 - 5 = 5*d - n. Solve 0*c = -5*c - j + 12, -d*j + 20 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 76?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2 = -0*x. What are the prime factors of -12*(2 + -2 + x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4532 - 9250 = 27*b - 4583 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 351 = -741. Let o = -1 + w. Calculate the remainder when o is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011101000100010000 (base 2) in base 10?\nAnswer: 643344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**5 - 16772*q**4 + 35329818*q**3 - 701572760*q**2 + 3499497800*q.\nAnswer: 2*q*(q - 4183)**2*(q - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/30*-4)\/(90\/287100*-29)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 161, -203, -1609, -4579, -9635, -17299, -28093?\nAnswer: -42539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34778948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = -3*l + 18, 3*u + 2 - 3 = -2*l + 7 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 30415.3nm?\nAnswer: 0.00304153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 0)\/((-2)\/212). Suppose -3*x + 261 = -3*p, -1232 - 237 = 16*p - 5*x. Let c = p + u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -95 or -6450\/67?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 7*x**3 - 9*x**2 - 4*x + 60. Determine m(-3).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 + -0.8. Let d = 0.02 - 0.42. Let y = d + 0.6. Which is the nearest to -2\/9?  (a) y  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 60, -47, -4, 3, -11, 1 in increasing order.\nAnswer: -47, -11, -4, 1, 3, 13, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 116050768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/(-2))\/((119\/(-28))\/17). Let p = 260 + h. What are the prime factors of p?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 10:49 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*c - 2)*(-4*c + c + 2*c + (0 + 1 + 1)*(0*c - 3*c + 2*c)) + (15*c - c + 5*c)*(0*c + 3*c - 4*c).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/40216805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 75971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.6 - -0.11.\nAnswer: 2.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -2\/3, 5, -2\/7, -14 in decreasing order.\nAnswer: 5, 0.6, -2\/7, -2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 650518393?\nAnswer: 7, 83, 1119653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 636.9038ml to litres.\nAnswer: 0.6369038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*i - 149*i + 270*i + 875*i = 43830 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 8*r = 9229. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 787522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -11) + (-58 - -4 - 176\/(95 - 51))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 2:57 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -470 + 468. Suppose 3*k + k = -8. Let p be (-39)\/45 - k\/10. Which is the closest to p?  (a) z  (b) 0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -426.99589 + 427. What is z rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 46*v**3 - v**2 + 1 + 4*v**2 - 29*v**2 - 51*v**3 to j*v**2 + p*v + n*v**3 + c and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/36 and (5\/36)\/((-369)\/(-120) - 3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/(-63)*(6 - 86\/12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (0 - 11 - -2) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 50 = 2*z, -4*z + a - 89 = 4*a. Calculate the common denominator of z\/30 - 10\/25 and 79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -85 - -285. Calculate the greatest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84276.9ml in litres?\nAnswer: 84.2769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 41\/2. Let t(k) = k**2 - k. Let p be t(2). What is the common denominator of p\/11 + 799\/(-220) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {t: 1, e: 1, y: 2, b: 2, w: 1, c: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*i - 0*i - 2*l, -5*i + 5*l = 0. Suppose -5*n = 4*s - s + i, n + 1 = 0. Solve 0 = -4*t - s*t + 4*q - 8, -5*t - 5*q = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00079739 rounded to 5 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 92534149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 161 - 158. Suppose m*n - 7 = 4*h, n = -2*n + 3. Sort 5, h, -4 in increasing order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrrrgwrwwrcrggcrrr. What is prob of sequence wrr?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 471309073969 from -0.1.\nAnswer: -471309073969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40900*n**2 + 10672*n.\nAnswer: -4*n*(10225*n - 2668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 894191710 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2508 + -32623\/13. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 301 - 212. Let r = h + -99. Let p = -5 - -10. Sort -4, 1, r, p in descending order.\nAnswer: p, 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/44 - (-2760)\/(-66). Let s = 44 + v. Solve s*m = 5*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31890.92 rounded to the nearest ten?\nAnswer: -31890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, -502, -1092, -1684?\nAnswer: -2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19258649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3 - w - 12 + 2*w. Let v(o) = -o + 5. Let b(a) = -5*v(a) - 3*z(a). Let l(f) = -5*f - 6. Suppose -4*p = -2*p + 16. Give p*b(r) - 3*l(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*m + 3. Let o = -2 - m. Suppose 8 = -4*h, o = -0*g - g + 5*h + 12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*i - 11 = 4*v, -v - 1 = 2*i. Let k = i + 1. Suppose 6 = k*x - 0, 0 = -h - x + 19. What is the greatest common divisor of 128 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 7*q - q**2 - 4 + 4*q**2 - 8*q - 3*q. Does 16 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -2044240404?\nAnswer: -2044240403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(-3*t + 6*t - 4*t - 2 + t + 2 + (-2*t + t - t)*(-3 + 3 + 2) + 4*t - 2*t - t - 49 - 19*t + 22 + 26)*(-10 + 13 - 6).\nAnswer: -132*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from ffflfwffffffllfff?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1013302332 (base 4) in base 12?\nAnswer: -122226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/16 + 76 + 1. Suppose 4*a - m = -2*a. What is the remainder when 38 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 3. Let y be m(-5). Suppose -y*j = -0*j + 1074. Let u = j - -549. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**4 + o**4 - 6*o**4 + (0*o + 2*o - o)*(o**3 + 4*o**3 - 3*o**3) + o**4 - 6*o**4 + 3*o**4 + (2*o + 2*o - 7*o)*(3*o**2 - 3*o**2 + o**3).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -5  (c) -0.13  (d) -125\/211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a = -15. Let i be (a\/2)\/3*2. Suppose -i = -4*j + 3. Solve 2*w + 0*q = 3*q + 20, -2*q = -j*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6458 - -67458. Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143 + 87 = -46*l. Sort 3, l, -21.\nAnswer: -21, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c + 18. Suppose 10*b = 12*b - c. Suppose d = 5*h - 2*h + 26, b*h + 34 = 5*d. Let w(s) = -s**2 - 8*s + 9. Calculate w(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -801 at least -801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = -4*v + 4*d, 5738*v + 2*d = 5750*v + 42 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**5 - t**2 - t - 1. Let r(p) = -4*p**5 - p**4 + 2*p**3 + 3*p**2 + 2*p + 2. Let v(o) = -2*i(o) - r(o). Let v(s) = 0. Calculate s.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(119)\/sqrt(63)*-4.\nAnswer: -4*sqrt(17)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 963*m**3*r**2 + 3*m**3*r - 4*m**3 + m**2*r**2 - m**2 - 371*r**2 wrt m.\nAnswer: 5778*r**2 + 18*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2106200 rounded to the nearest ten thousand?\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**5 - 25*q**2\/2 + 54*q. Differentiate l(s) with respect to s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 279 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (-3 - 4) + ((-251617)\/51)\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (9 - 8)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((4 - (5 - 2)) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-20) + (-14)\/(-105).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*z + 52*z + 24 = 0. Let g(c) = 7*c**3 - 2*c**2 - c + 1. What is the remainder when g(2) is divided by (2 - 25\/20)*z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 165*s. Let f(t) = 14*t + 6. Let k(u) = 255*u + 110. Let z(q) = -55*f(q) + 3*k(q). Give z(v(c)).\nAnswer: -5*c**2 + 825*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + 4. Let b be o(-6). Suppose 0*a - b = -5*a. Solve 10 = l - 2*p, 0 = 4*l + 4*p - 2 - a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 60\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**2*n**2 - 2*l**2*n - 104*l**2 + 7*l*n**2 + l wrt n.\nAnswer: -4*l**2*n - 2*l**2 + 14*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**3\/3 - 760*d**2\/3 - 72200*d\/3 = 0. Calculate d.\nAnswer: -190, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -7)\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*n - 65*n**5 - 91*n - 19*n wrt n?\nAnswer: -1300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39910082869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 3*t**2 - 10. Let v be f(-4). Let w be 4402\/8 + v\/8. Calculate the highest common factor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/25)\/((3\/(-15))\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12401.\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27541 or -28387?\nAnswer: -27541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.18811 and 1.161?\nAnswer: 4.02711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 27*h + 22 = 1, -2*l + 17*h = 13*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 9*m - 22 = -6*m, -2*j - 5*m = 18. Let l be ((-112)\/42)\/(j\/30). Which is smaller: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3320 and 351283390.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4\/3  (b) 452\/3647  (c) 2  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -4293 and -4303 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1159 and 344831.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 402297025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 11  (b) -1  (c) 35  (d) -2\/9  (e) -0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 1. Let n be (-24)\/(-40) + 36\/15. What is the smallest common multiple of m and 16\/(-4) - -7 - n*-3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 5:54 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/10)\/(5 - 343\/70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -641*i**6\/30 - 6*i**2 - 479*i. What is the first derivative of l(x) wrt x?\nAnswer: -2564*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - 35*a**2 - 188*a - 4010. Let k be n(-33). Solve -92 + 74 = -3*j - 3*u, k = 4*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14609?\nAnswer: 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/104 and -63\/31439096.\nAnswer: 31439096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -7861 greater than or equal to 5857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10122199 by -10122199.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - t - 38 + 90, m = -2*t + 20. Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 274.0554 litres to millilitres.\nAnswer: 274055.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 33534 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 126 - 79. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*t - 12, q - t + 4 = 5*q. Suppose 2*n - 3*p - 19 = -3*n, -4*p + 3 = -n. Solve 3*s + n - 20 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*a*z**5 + 16*a*z**4 + 7*a*z + 11*a wrt z?\nAnswer: -500*a*z**3 + 192*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 861396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 36 = z. Let g = z - 7. What is the least common multiple of g and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*k)*(k - 3 + 3) + 11*k - 18*k + 16*k - 5*k**2.\nAnswer: -7*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16393884 divided by 19.\nAnswer: -862836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6136, -23584, -52338, -92404, -143788, -206496, -280534?\n\"Answer: -v**3 - 5647*v**2 - 500*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.18 - -0.12. Let n = 145 + -138.7. Let f = 6 - n. What is the third biggest value in 1\/4, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5819.9 rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308761 is divided by 308251?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1241 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1 + 0 - 3 + 0 + (2 + 3 - 1)*(-5 - 2 + 5))*((396 - 396 - 16*r)*(-1 + 4 - 4) + 0*r + r - 4*r).\nAnswer: -156*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 - 3119?\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/(-120))\/(9\/75)*15\/(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert f85c (base 16) to base 7.\nAnswer: 353236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 86  (c) 1169\/37  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 97?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(2) + -1 + sqrt(50))**2.\nAnswer: -146 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2600059593 rounded to the nearest one hundred thousand?\nAnswer: -2600100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*n - 3*n - 41*n**2 + 6*n**2 to v + o*n**2 + c*n and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(140\/16) + 702\/915?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -463*k**2 + 898*k**2 - 427*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*j - 117*j = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 58 - (-3 - -7 - 7). Suppose 2*u = -4*y + 88, -4*y + t = -u - 27. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/67 in -0.3, 4, -187050?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1092, 2177, 3262, 4347, 5432, 6517?\n\"Answer: 1085*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -436, -5 in descending order.\nAnswer: 2\/9, -5, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38810, -38809, -38808, -38807, -38806, -38805?\nAnswer: -38804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - -11) + (1 - 5). Let y(z) = z + 3. What is the remainder when 41 is divided by y(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 - (0 - 2 - -3) and (0 + 3)*(-17 + 26)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/(v*v\/v**(-6\/13))*v\/((v\/(v**5\/v))\/v))\/(v\/(v**(-1\/2)*v))**(-5\/7))**42)**50 assuming v is positive.\nAnswer: v**(133650\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 106698*g**3 + 452414*g wrt g?\nAnswer: 640188*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 150621?\nAnswer: 2\/150621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*b - 358 + 8. Suppose 0 = -4*o - 16, 2*i + 5*o = -2*i + 260. What is the lowest common multiple of i and b?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -486 - 14071b?\nAnswer: -140ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 454663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 2302?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -75, 2\/7, 0.2, -1.07 in decreasing order.\nAnswer: 2\/7, 0.2, -1.07, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 305250 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19335 = 4998*d + 27209 + 8434 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 5. Let b(x) = 2*x + 10. Let a(r) = -2*b(r) - 5*t(r). Let q be a(-3). Solve 0 = -q*m - 0*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 10 - 0, -b + 5*l + 246 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/8  (b) -1\/229  (c) 107.1  (d) -1  (e) -2  (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 646279329 is divided by 585?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 1001101010110101?\nAnswer: 1001101010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r + 10 = -16. Let o be (-41)\/30 + r + (-28)\/(-15). Sort -0.3, -1, o, 2\/19.\nAnswer: o, -1, -0.3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126386502 + 2*f - 126386502.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 383 - 379. Let t = 250 - 56. What is the derivative of -153 - 16*x**4 + t - 6*x**q - 4*x**4 wrt x?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 725978, 2903944, 6533938, 11616002, 18150178, 26136508, 35575034, 46465798?\nAnswer: 58808842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 5*o + 2699 - 2711, 4*p = -8*o + 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 152 - ((-20)\/(-4) - 6)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 11, 481, 0, -123, 5 in decreasing order.\nAnswer: 481, 11, 5, 1, 0, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 1 - 2)*(1531*n + 6*n**2 - 1531*n) + 4*n**2 - 10 + 10.\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2667 + 2650.57. Let l = t - -16.4299287. Round l to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1572*y**3 - 3*y**2 - 1848 wrt y.\nAnswer: -9432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -16*f**2 - f - 1. Let s be h(-1). Let v be (-1)\/(s\/(-2) + 0). Let a = 43.3 + -42.9. Sort v, 1, a.\nAnswer: v, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*f + 10 = -5*c, 2*c - 5*f - 13 = 0. Let n be -1 + c + 12 + -1. Let h(q) = -q**3 + 8*q**2 + 8*q + 9. Let m be h(n). Solve 0 = -m*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7818?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m + 4. Calculate s(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/(-288)*2\/(-1))\/((-1)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -201*v**3 - 2*v**2 - 2*v. Let a(q) = q**2 - 1. Let h(z) = 2*a(z) + p(z). Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**2 + p**2 + 25*p - 247 + 126 + 0*p**2 + 116 in the form z*p**2 + b + q*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5118*x - 8193 + 2731 + 5083*x + 2727 + 2735.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 115.883 + -116. Let v = b + 90.117. Let q = 90.6 - v. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 + -9 - (-4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/18616 and 59\/546666?\nAnswer: 28426632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 54\/67133 and -37\/7531102.\nAnswer: 82842122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 99.3317*-49\nAnswer: -4867.2533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126\/1566)\/((-1638)\/1404).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 59808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 58 + -6?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 35*h**3 - h**2 + 5*h + 6. What is n(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 857287199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3 = 4*r, 34*q = 3*r + 33*q - 5. List the prime factors of (212 - -9) + (r - 4 - 1).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 361*-372.\nAnswer: -134292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 174 times 3\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**3 + 69*f**2 + 47*f - 420. Let l be o(35). Solve l = b - 5, 8*v + 4*b = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5, 4, -1, -10, -23, -40?\n\"Answer: -2*x**2 + 5*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 8*h - 1. Let w be c(-8). Let u be 4\/77*343\/882*(-3 + 9). Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -11. What is the common denominator of ((-5)\/(-18) + k)*(-1 + 2) and (6\/(-20))\/(6\/(-86))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 4) + 5 - (1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -486.8318 rounded to one decimal place?\nAnswer: -486.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 182 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 296621299 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*w - 8*w - w + (-1 + 2 + 2)*(2*w + w - 5*w) in the form j + v*w and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**3 - 3*i**3 + i**4 + 1 - 1 + i**4 + 0*i**4 + 4*i**4 - i**4 + 2 - 2 - i**4 + (2*i - 13*i + 4*i)*(4*i**3 - 2*i**3 - i**3).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 72.21 in 0.1, -92, -0.3, -2\/7, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 81 = i, -202 = -0*v + 5*v + 3*i. Let m = -29 - v. Let g(z) = 2*z - 21. Let d be g(m). Solve 0 = 5*a + 3*l - 6 - 7, -d*a = -5*l - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**4 + 6*x**3 + 5*x**2 + 8. Let h(b) = b**3 + b**2 + 1. Let r(m) = 40*h(m) - 5*l(m). Factor r(k).\nAnswer: -5*k**2*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32471\/10 - -3259. Calculate the common denominator of 85\/8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 5*g**2 + 376*g + 1836. Determine b(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 554372613*z - 416777729 wrt z?\nAnswer: 554372613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7489007 and 1743.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/10 + (-23)\/(-2). Suppose -q + f + 9 = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39 divided by -2744\nAnswer: 39\/2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 2*w - 188, 0 = -4*q + w - 7 + 199. Suppose 19 + q = 3*m - 4*o, 26 = m - 3*o. Calculate the lowest common multiple of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -640753848 divided by 756?\nAnswer: -847558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 10. Let k(v) = 1. Let t(a) = 6*k(a) + m(a). Suppose -b = -3*o - 20, 4*b = -o - 0*b - 11. Let s be t(o). Solve -l = -s*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -196 times -135343?\nAnswer: 26527228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 30 - 10)*(2 + 3 - 3)*(-2*g**2 + g**2 - g**2) to w*g**2 + i + h*g and give w.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1834 - 70?\nAnswer: -18a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 + 13224*h + 197685.\nAnswer: 3*(h + 15)*(h + 4393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432.845mg to micrograms.\nAnswer: 432845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.9606 times 0.34?\nAnswer: 3.386604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2681947123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3 = -3*m, 4 = 2*m + 2. Suppose j = -k - 2*k + 12. Let q(f) = -2*f - 7. Let w(p) = 2*p + 6. Determine k*w(x) + 3*q(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 30599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccicciicc. What is prob of picking 2 c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28.1 and 6.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 111\/4 - 1229\/44. What is the third smallest value in 2\/351, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, t: 2, c: 10}. Give prob of picking 2 h and 1 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3995\/3468 - (-616)\/(-528).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 4 = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 5*v + 1 - 2*v**3 - v + v**2 - 1 + 3. Let i be t(-1). Solve i*j - 2 = -12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253760 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 9*k. Let d be i(0). Do 506 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 551, -6 in descending order.\nAnswer: 551, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 1821  (c) -0.04  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7437, 7272, 6797, 5850, 4269, 1892, -1443, -5898?\n\"Answer: -27*y**3 + 7*y**2 + 3*y + 7454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -120931*t**2 + 45*t. Let g(q) = 52*q**2. What is n(g(f))?\nAnswer: -326997424*f**4 + 2340*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 10*j**2 - 8*j + 31. Let q be w(-9). Let z be (-1)\/3 - (-477)\/(-27). Let n = q + z. Calculate the greatest common divisor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5850 - 5845. Solve -4*c = -3*n - 16, 6*c - z*n = 4*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 801 and 40109541?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*x - 21*x = -1188. Let i = x + 116. Solve 4*m + 4*j = -25 - 11, -3*m - j = i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/15 + -93*8\/480.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - y. Let l(w) = 4*w + 12. Let d be l(-3). Let r be b(d). What is the third smallest value in 3, r, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.04  (b) -2  (c) -45  (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-153) - (-20)\/(-170)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -263*w + 357*w - 1128 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55 (base 6) to base 7.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14803 is divided by 7390.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m + 18660 - 18585, -5*m + 60 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9126538\/19 or 480345?\nAnswer: 480345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-2*(sqrt(10)\/(sqrt(15)\/sqrt(3)))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 4*p - 55, h - p + 1 = 0. Solve -2*r = h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -202, -595, -1312, -2449, -4102, -6367?\nAnswer: -9340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2231*v - 16*i = 2233*v - 38, v = -5*i + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**2\/4 - 233022207*x\/2 - 54299348955150849\/4 = 0. Calculate x.\nAnswer: -233022207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from glggsgzlzggg. Give prob of picking 2 l and 1 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 6:07 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + (27 + -14 + 3 - (-17 + 25)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 99901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.11 + 0.11. What is the second biggest value in t, 2\/15, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**4 + 23580*u**3 - 283284*u**2 + 850176*u.\nAnswer: 3*u*(u - 6)**2*(u + 7872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52 and -128?\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -787b1 (base 14) to base 5.\nAnswer: -33324031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -495*b + 6483. Determine x(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4 - 16065\/(-34). Let h = k + -155. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 43 = 3*d - 22, 262*o + 12 = 260*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6103 and 265829?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence adn when three letters picked without replacement from {a: 1, n: 1, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 9.2. Let r = 87 + -433\/5. What is the third biggest value in r, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5416600.\nAnswer: 2, 5, 7, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*k - 12*k + 13*k + (2*k - k + 0*k)*(4 + 0 - 3) - 4 + 446*k - 1 - 454*k.\nAnswer: -29*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.1935*10\nAnswer: -1.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d - 19*d - 9*d + (0 + 3 - 4)*(3*d + 4*d - 6*d) + 2 - 2 + 2*d + d - 5*d + 6*d + 2*d - 2 + 2 - 280*d + 9*d + 80*d.\nAnswer: -211*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 5:49 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2632365647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/7))**(-14) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*n - 15 = 70. Sort n, -1, 22, -0.5 in increasing order.\nAnswer: -1, -0.5, n, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 19*g**2 - 4*g + 21. Let s be l(-11). Suppose s + 1919 = 12*d. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 27901088*i. Let b(f) = 4*f. Give b(c(x)).\nAnswer: 111604352*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -437 and 1.96?\nAnswer: -856.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -12  (b) -4411  (c) 0.2  (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5*f + 49 = 0, 2*w - f = 2*f + 9. Suppose 0 = 7*k - 9*k - w. Is (0 + k - -3) + 137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1\/8, 0.2, -0.4, -12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -3678038 != -3678040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(12)*-1))\/sqrt(3) + 2 - (sqrt(378) - (-4*sqrt(378)*-4 + sqrt(378)))\/sqrt(6).\nAnswer: 2 + 47*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, 1519, 4 in decreasing order.\nAnswer: 1519, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 254 - 239.3. Let r = -14 + i. Let n = -0.686 + r. What is n rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000269284561 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -8*d - 2. Let u(a) = 1 + 1 - a - 3. Suppose -2 - 3 = 5*p. Let k(t) = p*q(t) + 6*u(t). Give k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1176774 at least as big as 1176757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 + -30 - -5) + -1 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14748071 divided by -49.\nAnswer: 14748071\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q - 19 + 30 = -31 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 209 - 210. Let a = 341 - t. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*i + 3*k, -2 = -i + 2*k + 6. Let o(z) = 9*z - 9. Let q be o(5). Calculate the highest common divisor of q and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 218 + -124. Let x = b + 12. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3 - 25 = 5*o, -3*z - 8 = 5*o. Let j be 2\/(36\/(-10) - o). Suppose -148 = -j*y - 48. What is the highest common divisor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 + 48. Let h(g) = 165*g**2 - g. Let u be h(r). Round u to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11135, -22277, -33387, -44465, -55511, -66525?\nAnswer: -77507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 1:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*w + 12 = 10*w + 4*q, -12 = 3*w - 3*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 3566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478848949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 5*o + 18. Let u(t) = t**2 + 9*t + 4. What is u(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145.4917 kilograms in tonnes?\nAnswer: 0.1454917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 430147*q + 346577 wrt q.\nAnswer: 430147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -211899 by 70633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w - 9443 + 77423 = 0. Let h = 850 + w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x - 9 = 27. List the prime factors of 1 + (-148)\/x - -4.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 125*m**4 + 400*m**3 + 360*m**2 + 128*m + 16 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -r - 4*i - 6012347 + 6012336, -3*r + 12 = -3*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 193*o**2 - 2*o + 13. What is the units digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193580 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = -4*w + 2*d + 14, w + 4*d - 48 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 5*t + 4, 4*t = -3*o + 2*o. Suppose -3*k = 4*s - 16, -5*k = -2*s - s + 12. What is the highest common factor of o and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(675).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10833 is divided by 5414.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o\/((o*(o\/(o**(2\/3)*o))\/o*o*o)\/o))*o\/o**(-6)*o**31*o\/o**(13\/3) assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 6406 = 3*i, 2*i + 2185 = 2*r - 1021. Calculate the remainder when r is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**1\/g)\/g*g*g)**(-1)*g*g**(-1)*g*g**(-2)*g*g)**15)**(-2\/111) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 4 - 4 = 0, 2*l - 4 = -2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6783256 rounded to the nearest one thousand?\nAnswer: -6783000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -149, 2, -223904 in ascending order.\nAnswer: -223904, -149, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2192.64 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiikik. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, u: 3}. What is prob of picking 2 x?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*i - 852 = -96*i + 3448 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*r = -16, -2*h + r + 0 = -2. Let q be 60\/33 - h\/(-11). Is (-2984)\/(-16) - q\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*b + 19100 + 22328 = -19877. Does 61 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.32 - -2. Let l = w + 0.32068. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 14*m**3 + 2*m**2 - 2*m + 1. Let u be o(1). Suppose -5*l + 116 = -2*s, -l - s + u = -4. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) 2  (c) -0.3  (d) 5  (e) 1\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/4*(-3 - -5). Put -22, 0, c, -5 in ascending order.\nAnswer: -22, -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**5\/30 + 53*i**2. Let c = 59 + -29. Let z(f) = f - 2. Let j(g) = -6*g + 15. Let d(q) = c*z(q) + 4*j(q). What is m(d(p))?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 2*a - 1508, 5*a = -6*w + 9*w - 1144. Calculate the lowest common multiple of w and 15.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1214369 is divided by 93?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1894349386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -749*i**2 - 663*i**2 + 450*i**2 + 179*i**2 - 746*i**2 in the form d*i**2 + v*i + u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuuk when four letters picked without replacement from {u: 2, w: 1, k: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52781022?\nAnswer: 2, 3, 7, 17, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/132*6*38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 365*m**3 + 4442*m**2 + 5*m + 203341327?\nAnswer: 1095*m**2 + 8884*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -4. Let m be ((-150)\/(-4))\/(33\/220). Let l = m + -2248\/9. Which is the second biggest value?  (a) -5  (b) l  (c) s\nAnswer: b","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) -1\/531  (c) -8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/224 in 0.6, -3, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 7*z - 1 + 17 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(((sqrt(104) - (sqrt(104) - -1*sqrt(104)))*-1 - sqrt(104)) + sqrt(104)))\/(-4*-1*sqrt(648)) + 1.\nAnswer: -5*sqrt(13)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 20 + 22 + 379*d)*(-6 + 6 - 3*d**3).\nAnswer: -1137*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -666399*a**3*p - 8*a**3 - 5*a**2*p - 36*a**2 - 191*a*p wrt a?\nAnswer: -3998394*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 974048501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5179834462.\nAnswer: 2, 11, 23, 37, 276671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 38 = 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*t)*(-35583 + 78672 - 38928).\nAnswer: 8322*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 2. Let q be u(-5). Let a(f) = -4 + f + 1 + 3 - 6. Let c be a(q). Put -5, -3, c in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 14, -2534, -3 in increasing order.\nAnswer: -2534, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -87734, -175470, -263210, -350954, -438702?\nAnswer: -526454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17687003.\nAnswer: 17687003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 15) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**4\/12 - 5*g**3\/3 - g**2 - 8*g. What is the units digit of v(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 7)\/((-1)\/1). Suppose -2*n = -5*b + 6280485 + 7299530, j = 2*b. Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 1. Let p(n) = 36*n**3 + 17*n**2 - 5. Let q(v) = -5*m(v) + p(v). Find the third derivative of q(y) wrt y.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w**(-5\/4)*w**(1\/2))\/(w*w**(2\/7)*w*w*w**(-5)*w*w*w))**(-38))**50 assuming w is positive.\nAnswer: w**(475\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15389286 by -7694643.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 27. Differentiate x*g + 13 - 32*g + 13*g + 15*g**2 with respect to g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of f**4\/4 + f**3\/3 + f**2 + 3*f - 12. What is h(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 68 and 7?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 324*a**3 + 990*a**2 - 996*a + 333.\nAnswer: -3*(a - 1)**3*(a + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-10))\/(30\/(-12))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 9*i**2 - 10*i + 4. Let o be t(10). Let r(s) = 4*s - 4. Let d(l) = 5*l - 5. Let z(j) = o*r(j) - 3*d(j). Determine z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-17)\/119)\/((-4)\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 440.6 - 277.9. Round x to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 32 - 7. Suppose 4*t - 44 = 2*l, b*t - 61 = 3*l + l. Suppose 12 = t*y - 5*y. Solve v = y*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -620\/59 or -13?\nAnswer: -620\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 - -28.98. Let x = 25 - n. Which is the smallest value?  (a) 3  (b) -2\/7  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = k - 1559996, -2*k + 3*k + 7800004 = -5*z. Round z to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 100*c**2*l**2*s + 1829*c**2*l*s**2 - 5*c**2*s**2 + 10*c*l**2*s**2 - 4*c*l*s wrt l?\nAnswer: 200*c**2*s + 20*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 9:21 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8132 and 1071284.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 17 = 2*d, 2*f - 18 = -0*d - 3*d. Solve -d*c - c - r + 26 = 0, 2*r = -3*c + 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2267, -9049, -20343, -36149, -56467?\nAnswer: -81297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24572215 to the power of 1\/2, to the nearest integer?\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nlnbjlqnlnl. What is prob of picking 1 q and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16896, -5, 6 in increasing order.\nAnswer: -16896, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -23350130 (base 7) in base 2?\nAnswer: -111110111100011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -3, -6, -1\/4 in increasing order.\nAnswer: -6, -3, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 221 and 1292?\nAnswer: 16796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*v = 35, -3 = 7*v - 4*v. Suppose y*l = 9*l + 2. Solve -w = i - 4 + l, -5*i = -3*w + 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 93*p - 1. Is t(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1582 - 0.2418. Put u, 0.4, -2\/13, -5 in descending order.\nAnswer: 0.4, -2\/13, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -9  (b) 1\/4  (c) -2  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 52357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 105*j**3\/2 - 1161*j**2\/2 + 33*j.\nAnswer: 3*j*(j - 11)*(35*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 4:57 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -977315 plus 56420?\nAnswer: -920895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/(-3)*(6\/(-8))\/(297\/(-198))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -82089602*a**4 - 1015*a**2 + 23388*a?\nAnswer: -1970150448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(242) - (sqrt(242) - -1*sqrt(242))*-3) + 0)**2 - -1*4*(sqrt(242) - (sqrt(242)*3)**2))*-4.\nAnswer: -12584 - 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/6  (b) -46  (c) 8768  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/220*585\/(-72)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v**12*v)\/v)**16\/(v**(-22)*v**(4\/15)) assuming v is positive.\nAnswer: v**(3926\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0*k*k**(-5))\/((k\/(((k**11*k)\/k)\/k))\/k*k**(2\/9)) assuming k is positive.\nAnswer: k**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 - -0.34. Let r = -63\/4 - -16. Which is the closest to 1?  (a) r  (b) y  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72779482 + 0*c**2 + 33*c**2 - 3*c + 72779482.\nAnswer: 33*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 3*o + 3, -14 = -9*b + 7*b + 2*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 59*t**2 - 3054*t - 717. Give i(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1124 and 96557.\nAnswer: -108530068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15838*g + 1095*g = -1400585 for g.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 2*g + 12 = 0, -25*f = -23*f - 5*g - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j - 24. Let t be i(0). Let r be (t - 6)\/((-6)\/4). Is 2\/(-1) + (r - 4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 6 = -0. Let r(q) = q + 13. Let u be r(-4). Suppose 0*b - u = -3*h + 2*b, -2*b + v = 2*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 202.3 - 202. What is the closest to -2 in -2, 7, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c - 11 + 23 + c. What is the remainder when w(-3) is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tca when three letters picked without replacement from {x: 2, a: 7, t: 3, c: 5, n: 3}.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**5 + y**5 + 0*y**5 + 1 - 1 + y**5 + (-3 - 2*y + 3)*(0*y**3 + 2*y**4 + 0*y**3) + y**3 - y**3 - 2*y**5 - 3790*y**5 + 1378*y**5 - 2419*y**5.\nAnswer: -4835*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7717458*d**2*h - 24*d**2 + 8711*d - 1 wrt h?\nAnswer: 7717458*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r + 40 = 30*r. Suppose -3*y - 146 = -3*h + 208, -r*y + 347 = 3*h. Calculate the greatest common factor of h and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 106227 + (2 + (1 - 3))*1. Let w be l\/(-484) - 1\/4. Let y = -221 - w. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from gcn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -20 - (-15 + 1 + (3 - -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2273 + 2272. Put -2\/7, -0.5, w, -2, 58 in increasing order.\nAnswer: -2, w, -0.5, -2\/7, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4452.6 and 1870.\nAnswer: 8326362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x - 1 + 2*x**2 + 2*x**4 - 12129*x**3 - 5*x**2 + 12130*x**3 to a*x**4 + p*x**3 + r*x + s + u*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-4)*(-906)\/755)\/(546\/8)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11361 rounded to 3 dps?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 12:58 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1455 - 1192?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 7:38 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354*g**2 - 349*g**2 + 1719*g**2 - 353*g**2 - 355*g**2 - 320*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1)\/(21 + -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 17 = i, -2*l - 8 = -4*l. Suppose d + 28 = -i*k - 96, k = 2*d + 262. Let s be (-2)\/(-5) - (-32)\/d. What is the nearest to -3\/5 in 2, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 + 4)*(-68*v + 62*v + v**2 - 6 + 8).\nAnswer: -4*v**2 + 24*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 7) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**2\/7 - 2193*x\/7 + 8884 = 0.\nAnswer: -2221, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c1 + -8?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lulu when four letters picked without replacement from lullulllll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of 2*f**3\/57 + 574*f**2\/19 + 164738*f\/19 + 2171. Factor q(t).\nAnswer: 2*(t + 287)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*g - 385 = 1307. Suppose 0 = f + 3*a - 7*a - 33, -4*f = 3*a - g. Solve -4*j + x = -21, 4*j - 5*x + 0*x - f = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q + 2. Let m be -3 + 12 + 5 + -5. Suppose 0 = -3*r, -m*n - r + 10 = -4*n. What is j(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1426.96 - 1427. Put 0.5, 0.4, y, 1\/7, 4 in decreasing order.\nAnswer: 4, 0.5, 0.4, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 1)*(6*j - 4*j - 4*j) - 65548*j + 23 + 14 + 65554*j.\nAnswer: 8*j + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - t - 2 + 0 = 0, 1 = 3*b + 2*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-24)\/(-4))\/((-1)\/((-2)\/(-4))). Let d(s) = s**2 + 34*s - 1008. Let u be d(-53). Sort u, b, 20, -2 in ascending order.\nAnswer: b, -2, u, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -508 - -3053\/6. What is the fourth smallest value in -1\/2, -0.2, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-344)\/24 - -14) + 478\/18 + (-112)\/504.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 1)*(5197 - 2466 - 3378)*(-g - 3*g + 5*g)*(2 - 3 - 4) to n*g + l and give n.\nAnswer: -6470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76338, 152716, 229094, 305472, 381850, 458228?\nAnswer: 534606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4345 - -32?\nAnswer: 4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/((-140)\/1302))\/(3\/(-82)). Calculate the greatest common divisor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -63*u**2 + 6*u. Let r(f) = 32*f**2 - 4*f. Determine 3*p(y) + 5*r(y).\nAnswer: -29*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o + 87 = 17*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (5 - 3 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 11*v**2 - 9*v + 11. Determine u(15).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -0.98. Let j = 0.12 + 0.16. Let h = j - b. What is the third smallest value in -0.3, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/11, 5, 14\/11, -5, -4?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 12:04 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*u = g + 62, -790*g = u - 789*g + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 + -2.6954425948.\nAnswer: -2.6654425948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 64*j - 32. Let s be b(7). Suppose -5*g + 41 = 16. Put g, -3, s, -2 in decreasing order.\nAnswer: g, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 s when three letters picked without replacement from kkfnsfnkknkknsf.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -669*u + 27 wrt u?\nAnswer: -669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -11*o**2 - 124*o - 144. Give j(-13).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y**(-17)\/y)*y)**(1\/10) assuming y is positive.\nAnswer: y**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*(-57)\/3*8\/56.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-32)\/(-56)*7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 424*k + 2554*k = -56582 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 + 3*q**2 + 5*q - 6. Let k be a(4). Let g be k\/11 - (-48)\/22. Let 13 - 13 + z**5 - g*z**3 + z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/4947 - -242423\/49470. Is b at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1413, 1431, 1449, 1467, 1485, 1503?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qiiq. What is prob of sequence qiiq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6312 = 3*u + 5358. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {k: 5, b: 1, i: 13, x: 1}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 + -12. Let p = 47 - 21. Let z = p + u. Find the common denominator of -39\/5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9, a: 10}. What is prob of sequence bb?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 2*w - 18. Let j be o(-12). Calculate the greatest common factor of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 - -47. Suppose 2*w = y*w + 6. Find the common denominator of -10 - w - 149\/(-32) and 91\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130 and 2834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s - 3 = 3*n, 0 = 6*n - 19*n + 5*s - 106 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 41*b - 29. Let r be w(10). Let l = r + 115. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -9*z. Let y(j) = 7*j - 239. Let d be y(34). Let l(g) = -g. Calculate d*r(f) + 6*l(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 120 + -62. Let y = -58 + c. Are 32 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 969 divide 3890577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 61046889722348.3?\nAnswer: 61046889722349.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 5:37 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.36 + 0.956. Let y = 0.55 - a. What is y rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4  (b) 5  (c) 0.05  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*o - 181*o - 19921 = 1534*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - -30 - -1 - 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 46. Let h be l(-11). Let z = 71 + h. Let f = z - 11. Solve 4*j - 5*j = -f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/19 - 68626262*a**2\/19 + 137252518*a\/19 - 68626258\/19.\nAnswer: 2*(a - 34313129)*(a - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25362 and 12.\nAnswer: 50724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence km when two letters picked without replacement from cuckuuuuutmkutcuct?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is -259184748.7 rounded to the nearest 100000?\nAnswer: -259200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r. Let p(b) = -128248*b**2 - 3*b - 4. Calculate p(g(j)).\nAnswer: -512992*j**2 + 6*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 12, s: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 4*x**2 + 3*x - 3. Let p = 7 - 4. Let w be 3 + (-18)\/p - 12. Let s = 12 + w. Determine t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 329450664355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9b + 6?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12344310 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -182851832 + 619.\nAnswer: -182851213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w - 4. Let c(u) = -3. Let z(g) = 4*c(g) - 3*i(g). Suppose r = -0 - 2. Does 6 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b + b - b - 3*b - 4*b + 6*b - 3 + 3 + 2*b + (1 - 2 + 3)*(4*b - 3*b - 3*b) - 2*b + 2*b - b + (-9 - 2 + 9)*(1 - 2*b - 1).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 557 - 541. Solve 5*l + z + 16 - 36 = 0, 4*l = -4*z + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75832956?\nAnswer: 2, 3, 797, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/47?  (a) 4  (b) -14  (c) 0.1  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.05 + -0.27. Let y = w + 0.12. Are -0.4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.13 - -0.13. What is the closest to 1\/3 in -1, 4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1186455 and -18.\nAnswer: -1186473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 55 = 2*y - 153, -66*y + 5*h + 83 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.74 - -0.5. Which is the second smallest value?  (a) 0.4  (b) k  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 PM and 8:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 11*c**2 - 9*c + 10. Let u be h(-10). Suppose u = -p - 5*g + 5, 5*p - 34 = 3*p - 2*g. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -404 - -408. Solve -d*c - 4 = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10991*j - 269798 = -243381 + 435205 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 790344 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z. Let d(u) = -4937*u**2. Calculate y(d(v)).\nAnswer: -9874*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*f - 21. Let s = -5397 - -5397. Solve s = f*t - t + 3*b + 2, -3*b = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}